{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["DISCLAIMER","TL-System","TL-Parameters","Supplement"],"not_rendered":{"charts":2,"images":31,"macros":1,"external_links":0,"defined_names":62,"comments":4,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"DISCLAIMER","index":0,"n_rows":20,"n_cols":4,"rows_kept":20,"cut":false,"hidden":false,"merged":[[28,1,28,3],[3,0,3,1],[5,1,5,3],[4,1,4,3],[8,1,8,3],[7,1,7,3],[9,1,9,3]]}
[]
[]
[]
[]
[null,"RF-Feedline System Loss Calculator (Transducer Power Loss)"]
[]
[]
[null,"TLine Loss Calc is a Spreadsheet Workbook tool (shareware) for the computation"]
[null,"of Losses in RF-Feedline Systems with Transmission Lines"]
[null,"of real or complex Characteristic Impedance."]
[]
[]
[null,null,"Disclaimer"]
[null,null,"The user of this software assumes all responsibility for\napplying the software and for any utilization of the results obtained."]
[]
[null,null,"Comments, Error-Reports or Suggestions for improving the tool are welcome at"]
[null,null,"info@rfclb.space"]
[]
[]
[null,null,null,"© Copyright 2021-2023 – All rights reserved.  "]

{"sheet":"TL-System","index":1,"n_rows":157,"n_cols":19,"rows_kept":157,"cut":false,"hidden":false,"merged":[[5,7,8,7],[71,1,71,2],[70,1,70,3],[69,1,69,2],[68,1,68,3],[57,1,57,3],[50,6,52,19],[45,18,45,19],[49,1,49,3],[52,1,52,3],[55,1,55,3],[54,1,54,3],[53,1,53,2],[56,1,56,2],[60,1,60,3],[50,1,50,2],[73,1,73,2],[72,1,72,3],[58,10,58,11],[71,6,71,19],[73,13,74,13],[70,18,70,19],[69,18,69,19],[65,1,65,4],[63,1,63,2],[67,1,67,2],[66,1,66,3],[64,1,64,4],[61,1,61,3],[58,1,58,3],[59,1,59,3],[62,1,62,3],[51,1,51,3],[24,1,24,3],[17,1,17,3],[21,1,21,4],[22,1,22,3],[23,1,23,3],[20,1,20,4],[26,1,26,3],[25,1,25,2],[48,1,48,3],[36,1,36,3],[31,1,31,2],[32,1,32,2],[30,1,30,2],[38,1,38,3],[33,1,33,3],[11,16,11,17],[16,1,16,4],[13,1,13,3],[14,1,15,1],[18,1,19,1],[25,17,26,19],[27,17,27,19],[47,18,47,19],[40,1,40,3],[46,1,46,3],[46,6,47,10],[22,6,45,10],[41,1,41,2],[34,1,34,3],[28,1,28,3],[37,1,37,3],[29,1,29,3],[47,1,47,2],[27,1,27,3],[43,1,43,2],[28,17,28,19],[0,1,0,19],[10,2,10,3],[21,10,21,12],[11,2,11,3],[1,1,2,20],[5,1,5,3],[6,1,7,1],[10,16,10,17],[8,16,9,17],[7,16,7,17],[8,1,8,4],[9,1,9,4],[12,2,12,3],[13,16,13,17],[12,16,12,17],[11,5,14,5],[45,1,45,3],[35,1,35,3],[39,1,39,3],[42,1,42,2],[44,1,44,3]]}
[]
[null,"RF-Feedline System Loss Calculator (Transducer Power Loss)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,""]
[null,{"$f":"IF(Network_In,\"            SOURCE  +  2-Port NETWORK\",\n               \"     SOURCE\"\n   )","v":"     SOURCE"},null,null,{"$f":"IF(OR(NOT(ISNUMBER(E32)),NOT(ISNUMBER(E33))),\"\",\n   IF(AND(ABS(E7-E15)<0.0001,ABS(E8-E16)<0.0001,ABS(E7-E32)<0.0001,ABS(E8+E33)<0.0001),\"CCM, Γs=0\",\n                                                                                       IF(AND(ABS(E7-E15)<0.0001,ABS(E8-E16)<0.0001),\"Γs=0\",\n                                                                                                                                     IF(AND(ABS(E7-E32)<0.0001,ABS(E8+E33)<0.0001),\"CCM\",\n                                                                                                                                                                                   IF(AND(Supplement!H41=5,E16<>0),\"≈ CCM\",\n                                                                                                                                                                                                                   \"\"\n                                                                                                                                                                                     )\n                                                                                                                                       )\n                                                                                         )\n     )\n   )","v":""},null,null,"Read Me\nFirst !"]
[null,"Zs","SOURCE IMPEDANCE, seen from TL, real, Rs","Ω  ",50]
[null,null,"SOURCE IMPEDANCE, seen from TL, imag, Xs","jΩ  ",0,null,null,null,null,null,null,null,null,null,null,null,"System"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P2/Pmax:"]
[null,"TRANSMISSION LINE (TL)    "]
[null,null," PHYSICAL LENGTH,  l         feet ",null,40,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISNUMBER(E64),ROUND(-E64,2)&\" dB\",\n                  \"< -100 dB\"\n   )","v":"-2.05 dB"}]
[null,null," RF-FREQUENCY, f              MHz ",null,3.5,{"$f":"Supplement!H47","v":1},null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISNUMBER(E64),\"≡ \"&ROUND(100*10^(-0.1*E64),2)&\" %\",\n                  \"0 %\"\n   )","v":"≡ 62.34 %"}]
[null,null," ATTENUATION, α          dB/100ft ",null,0.53800000000000003,null,null,null,null,null,null,null,null,null,null,null,"U2/U1 :"]
[null,"VELOCITY FACTOR, VF              ",null,null,0.80200000000000005,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(SUMSQ((1+E23),E24)>0,SUMSQ((1+E28),E29)=0),\">100 dB\",\n                                                   IF(AND(SUMSQ((1+E23),E24)=0,SUMSQ((1+E28),E29)>0),0,\n                                                                                                     IF(AND(SUMSQ((1+E23),E24)=0,SUMSQ((1+E28),E29)=0),\"0/0\",\n                                                                                                                                                       IF(E47=0,\"<-100 dB\",\n                                                                                                                                                                ROUND(20*LOG10(SQRT(E47*SUMSQ((1+E23),E24)/SUMSQ((1+E28),E29))),2)&\" dB ,\"\n                                                                                                                                                         )\n                                                                                                       )\n                                                     )\n   )","v":"0.82 dB ,"}]
[null,"Zo",{"$f":"\"CHARACTERISTIC IMPEDANCE, real,  Rₒ\"","v":"CHARACTERISTIC IMPEDANCE, real,  Rₒ"},"Ω  ",50,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(Q14=\">100 dB\",Q14=0,Q14=\"0/0\",Q14=\"<-100 dB\"),\"n/a\",\n                                                     MOD(ROUND(MOD((-Beta_rad_per_m*Length_in_m + (IF(E24<0,2*PI(),0)+ATAN2((1+E23),E24))) - (IF(E29<0,2*PI(),0)+ATAN2((1+E28),E29)),-2*PI())/(2*PI()),11),-1)\n   )","v":-5.0606776649999997E-2},{"$f":"IF(OR(Q14=\">100 dB\",Q14=0,Q14=\"0/0\",Q14=\"<-100 dB\"),\"\",\n                                                     \"* 360ᵅ\"\n   )","v":"* 360ᵅ"}]
[null,null,{"$f":"IF(Supplement!H44>999.999,\"CHARACTERISTIC IMPEDANCE, imag,  Xₒ\",\n                           \"CHARACTERISTIC IMPEDANCE, imag, |Xₒ|\"&IF(OR(Alpha_Np_per_m=0,Beta_rad_per_m=0),\"=\",\"≤\")&ROUNDDOWN(Supplement!H44,3)&\" Ω\"\n   )","v":"CHARACTERISTIC IMPEDANCE, imag, |Xₒ|≤1.11 Ω"},"jΩ  ",-1.1000000000000001]
[]
[null,{"$f":"IF(Network_Out,\"          2-Port NETWORK  +  LOAD\",\n                \"    LOAD\"\n   )","v":"    LOAD"},null,null,{"$f":"IF(AND(ABS(E15-E19)<0.0001,ABS(E16-E20)<0.0001,ABS(E19-E43)<0.0001,ABS(E20+E44)<0.0001),\"CCM, SWR=1:1\",\n                                                                                         IF(AND(ABS(E15-E19)<0.0001,ABS(E16-E20)<0.0001),\"SWR=1:1\",\n                                                                                                                                         IF(AND(ABS(E19-E43)<0.0001,ABS(E20+E44)<0.0001),\"CCM\",\n                                                                                                                                                                                         IF(AND(Supplement!H41=5,E16<>0),\"≈ CCM\",\n                                                                                                                                                                                                                         \"\"\n                                                                                                                                                                                           )\n                                                                                                                                           )\n                                                                                           )\n   )","v":""},null,null," "]
[null,"ZL","LOAD IMPEDANCE, seen from TL, real, RL","Ω  ",50]
[null,null,"LOAD IMPEDANCE, seen from TL, imag, XL","jΩ  ",75]
[]
[null," DETAILED RESULTS (Nominal Case)      "]
[null," REFLECTION COEFFICIENT @ LOAD, real, Re(ΓL)",null,null,{"$f":"ROUND(IMREAL(IMDIV(COMPLEX(E19-E15,E20-E16),\n                    COMPLEX(E19+E15,E20+E16)\n                   )\n             ),IF(Dual_CCM,5,12)\n      )","v":0.36373543855899998}]
[null," REFLECTION COEFFICIENT @ LOAD, imag, Im(ΓL)",null,null,{"$f":"ROUND(IMAGINARY(IMDIV(COMPLEX(E19-E15,E20-E16),\n                       COMPLEX(E19+E15,E20+E16)\n                      )\n                ),IF(Dual_CCM,5,12)\n      )","v":0.49219951090500003}]
[null," REFLECTION COEFFICIENT @ LOAD, abs, |ΓL|=ρL",null,null,{"$f":"ROUND(SQRT(SUMSQ(E23:E24)),11)","v":0.61201619897000004}]
[null," STANDING WAVE RATIO    @ LOAD, SWRL",null,":1 ",{"$f":"IF(ABS(E25-1)>0.000002,ABS((1+E25)/\n                            (1-E25)\n                           ),\n                        \"> 1E6\"\n   )","v":4.1548543900299455},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":" \"Transducer Loss \"","v":"Transducer Loss "}]
[]
[null," REFLECTION COEFFICIENT @ TL-Input, real, Re(Γin)",null,null,{"$f":"ROUND(IMREAL(IMPRODUCT(COMPLEX(E23,E24),\n                        IMEXP(COMPLEX(-2*Alpha_Np_per_m*Length_in_m,-2*Beta_rad_per_m*Length_in_m)\n                             )\n                       )\n             ),IF(Dual_CCM,4,11)\n      )","v":0.15809905012},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"has been stored  \"","v":"has been stored  "}]
[null," REFLECTION COEFFICIENT @ TL-Input, imag, Im(Γin)",null,null,{"$f":"ROUND(IMAGINARY(IMPRODUCT(COMPLEX(E23,E24),\n                           IMEXP(COMPLEX(-2*Alpha_Np_per_m*Length_in_m,-2*Beta_rad_per_m*Length_in_m)\n                                )\n                          )\n                ),IF(Dual_CCM,4,11)\n      )","v":-0.56056053664000005},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"(red dashed line) \"","v":"(red dashed line) "}]
[null," REFLECTION COEFFICIENT @ TL-Input, abs, |Γin|=ρin",null,null,{"$f":"ROUND(SQRT(SUMSQ(E28:E29)),11)","v":0.58242890114000001}]
[]
[null," TRANSMISSION LINE INPUT IMPEDANCE, real, Rin",null,"Ω  ",{"$f":"IF(AND(E28=1,E29=0),\"infinite\",\n                     IF(AND(OR(E11<Epsilon,E13=0),E19=0),0,\n                                                         ROUND(IMREAL(IMPRODUCT(COMPLEX(E15,E16),\n                                                                                IMDIV(COMPLEX(1+E28,E29),\n                                                                                      COMPLEX(1-E28,-E29)\n                                                                                     )\n                                                                               )\n                                                                     ),IF(Dual_CCM,3,10)\n                                                              )\n                       )\n   )","v":31.089744123399999}]
[null," TRANSMISSION LINE INPUT IMPEDANCE, imag, Xin",null,"jΩ  ",{"$f":"IF(AND(E28=1,E29=0),\"infinite\",\n                     ROUND(IMAGINARY(IMPRODUCT(COMPLEX(E15,E16),\n                                               IMDIV(COMPLEX(1+E28,E29),\n                                                     COMPLEX(1-E28,-E29)\n                                                    )\n                                              )\n                                    ),IF(Dual_CCM,3,10)\n                          )\n   )","v":-55.504889789700002}]
[]
[null," REFLECTION COEFFICIENT @ SOURCE, real, Re(Γs)",null,null,{"$f":"ROUND(IMREAL(IMDIV(COMPLEX(E7-E15,E8-E16),\n                    COMPLEX(E7+E15,E8+E16)\n                   )\n             ),IF(Dual_CCM,5,12)\n      )","v":-1.20985361E-4}]
[null," REFLECTION COEFFICIENT @ SOURCE, imag, Im(Γs)",null,null,{"$f":"ROUND(IMAGINARY(IMDIV(COMPLEX(E7-E15,E8-E16),\n                       COMPLEX(E7+E15,E8+E16)\n                      )\n                ),IF(Dual_CCM,5,12)\n      )","v":1.0998669161000001E-2}]
[null," REFLECTION COEFFICIENT @ SOURCE, abs, |Γs|=ρs",null,null,{"$f":"SQRT(SUMSQ(E35:E36))","v":1.0999334560359038E-2}]
[]
[null," REFLECTION COEFFICIENT @ TL-Output, real, Re(Γout)",null,null,{"$f":"ROUND(IMREAL(IMPRODUCT(COMPLEX(E35,E36),\n                        IMEXP(COMPLEX(-2*Alpha_Np_per_m*Length_in_m,-2*Beta_rad_per_m*Length_in_m)\n                             )\n                       )\n             ),IF(Dual_CCM,4,11)\n      )","v":8.3427184099999999E-3}]
[null," REFLECTION COEFFICIENT @ TL-Output, imag, Im(Γout)",null,null,{"$f":"ROUND(IMAGINARY(IMPRODUCT(COMPLEX(E35,E36),\n                           IMEXP(COMPLEX(-2*Alpha_Np_per_m*Length_in_m,-2*Beta_rad_per_m*Length_in_m)\n                                )\n                          )\n                ),IF(Dual_CCM,4,11)\n      )","v":-6.3221311800000001E-3}]
[null," REFLECTION COEFFICIENT @ TL-Output, abs, |Γout|=ρout",null,null,{"$f":"SQRT(SUMSQ(E39:E40))","v":1.0467582964833912E-2}]
[]
[null," TRANSMISSION LINE OUTPUT IMPEDANCE, real, Rout",null,"Ω  ",{"$f":"ROUND(IMREAL(IMPRODUCT(COMPLEX(E15,E16),\n                        IMDIV(COMPLEX(1+E39,E40),\n                              COMPLEX(1-E39,-E40)\n                             )\n                       )\n             ),IF(Dual_CCM,3,10)\n      )","v":50.823048871300003}]
[null," TRANSMISSION LINE OUTPUT IMPEDANCE, imag, Xout",null,"jΩ  ",{"$f":"ROUND(IMAGINARY(IMPRODUCT(COMPLEX(E15,E16),\n                           IMDIV(COMPLEX(1+E39,E40),\n                                 COMPLEX(1-E39,-E40)\n                                )\n                          )\n                ),IF(Dual_CCM,3,10)\n      )","v":-1.7612874565000001}]
[]
[null,"EFFICIENCIES & LOSSES",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(E11>0,OR(Supplement!H41=1,Supplement!H41=2),Supplement!H45,Supplement!H48),\" (CCM)\",\n  IF(AND(E11>0,OR(AND(Supplement!H41=1,OR(E18=\"SWR=1:1\",E18=\"CCM, SWR=1:1\")),AND(Supplement!H41=2,OR(E6=\"SWR=1:1\",E6=\"CCM, SWR=1:1\"))),Supplement!H45,Supplement!H48=FALSE),\" (CCM)\",\n   IF(AND(OR(Supplement!H41=1,Supplement!H41=2),Supplement!H45,Supplement!H48=FALSE,Supplement!P195<>\"             \"),\" (CCM @ •)\",\n    IF(AND(E11>0,OR(Supplement!H41=3,Supplement!H41=4,AND(Supplement!H41=5,E16=0)),Supplement!H45),\" (CCM)\",\n     IF(AND(Supplement!H41=5,E16<>0,Supplement!H45),\" (CCM @ •)\",\n                                                    \"\"\n       )\n      )\n     )\n    )\n   )","v":""}]
[null,"   MATCHED LINE EFFICIENCY (ΓL=0), η1",null,null,{"$f":"EXP(-2*Alpha_Np_per_m*Length_in_m)","v":0.95165602172442598},null,{"$f":"IF(F12=0,\" Inconsistent TL-Parameter Values. No Diagram. \",\n          \" Transducer Power Loss \"&IF(E64=\"> 100\",\"> 100dB (No Diagram)\",\n                                                   IF(AND(ROUND(E64,2)=0,E63<1),\"≈ \",\"= \")&ROUND(E64,2)&\"dB\"&\" (\"&IF(AND(ROUND(E64,2)=0,E63<1),\"≈\",\"\")&ROUND(100*(1-E63),1)&\"% of Pmax)\"\n                                      )\n   )","v":" Transducer Power Loss = 2.05dB (37.7% of Pmax)"}]
[null,"   MATCHED LINE LOSS (MLL)",null,"dB  ",{"$f":"IF(E47<Epsilon,\"> 100\",\n                -10*LOG10(E47)\n   )","v":0.21519999999999984},null,null,null,null,null,null,null,null,null,null,null,null,null,"Read Me"]
[]
[null,"   SWR-INDUCED SCALING of MATCHED LINE EFFICIENCY, δ2",null,null,{"$f":"IF(OR(E13=0,\n       AND(E16=0,E30=1),\n       AND(E24=0,E25=1,E29=0,E30=1)\n      ),1,\n        ROUND((1 - (E25^2) - 2*(E16/E15)*E24) /\n              (1 - (E30^2) - 2*(E16/E15)*E29),11\n             )\n   )","v":1.01726274729}]
[null,{"$f":"IF(E50>1,\"   SWR-INDUCED DELTA wrt. Matched Case\",\n          \"   SWR ADDITIONAL LOSS\"\n   )","v":"   SWR-INDUCED DELTA wrt. Matched Case"},null,"dB  ",{"$f":"IF(E50<Epsilon,\"> 100\",\n                -10*LOG10(E50)\n   )","v":-7.4331406909850489E-2},null,"Impedance Matching"]
[]
[null,"   TOTAL LINE EFFICIENCY, (P2/P1)=η1δ2",null,null,{"$f":"E47*E50","v":0.96808421913446152}]
[null,"   TOTAL LINE LOSS, (P2/P1)",null,"dB  ",{"$f":"IF(E53<Epsilon,\"> 100\",\n                -10*LOG10(E53)\n   )","v":0.14086859309014921}]
[]
[null,"   IMPEDANCE MISMATCH FACTOR, (P1/Pmax)=η3",null,null,{"$f":"IF(OR(E32=0,NOT(ISNUMBER(E32))),0,\n                                 ROUND((4*E7*E32) /\n                                       SUMSQ(E7+E32,E8+E33),\n                                       IF(Dual_CCM,4,11)\n                                      )\n   )","v":0.64392401426000001}]
[null,"   IMPEDANCE MISMATCH LOSS, (P1/Pmax)",null,"dB  ",{"$f":"IF(E56<Epsilon,\"> 100\",\n                -10*LOG10(E56)\n   )","v":1.9116537819079218}]
[]
[null,"   POWER DISSIPATED in TRANSMISSION LINE, (PTL/Pmax)",null,null,{"$f":"IF(AND(E56<>E63,ROUND(100*(E56-E63),1)=0),\"≈ \",\n                                           \"\"\n   )&ROUND(100*(E56-E63),1)&\" %\"","v":"2.1 %"},null,null,null,null,null,{"$f":"\"→     Read Me  \"","v":"→     Read Me  "}]
[null,"   POWER DISSIPATED in TRANSMISSION LINE, (PTL/P1)",null,null,{"$f":"IF(E56=0,\"P1=PTL=0\",\n          IF(AND(E53<1,ROUND(100*(1-E53),1)=0),\"≈ \",\n                                               \"\"\n            )\n          &ROUND(100*(1-E53),1)&\" %\"\n   )","v":"3.2 %"}]
[null,"   (EXCESS-POWER @ TL-Input)/Pmax , see comment",null,null,{"$f":"IF(E56*SUMSQ(E7+E15,E8+E16)>(4*E7*E15),\"+ \",\n                                        IF(E56*SUMSQ(E7+E15,E8+E16)<(4*E7*E15),\"- \",\n                                                                               \"+/- \"\n                                          )\n   )&ROUND(100*ABS(E56-((4*E7*E15)/\n                        SUMSQ(E7+E15,E8+E16)\n                       )\n                  ),1\n          )&\" %\"","v":"- 35.6 %"}]
[]
[null,"   TRANSDUCER POWER EFFICIENCY, (P2/Pmax)=η=η1δ2η3",null,null,{"$f":"E47*E50*E56","v":0.62337267652681994}]
[null,"   TRANSDUCER POWER LOSS, (P2/Pmax)",null,"dB  ",{"$f":"IF(E63<Epsilon,\"> 100\",\n                -10*LOG10(E63)\n   )","v":2.0525223749980714}]
[]
[null,"SUPPLEMENTARY RESULTS (for real Characteristic Impedance, Xo=0)"]
[null,"   Transducer Power Efficiency,(P2/Pmax)=η(Xo=0)",null,null,{"$f":"IF(E19=0,0,\n          ROUND(\n                E47 * (1-(IMABS(IMDIV(COMPLEX(E7-E15,E8-0),COMPLEX(E7+E15,E8+0)))\n                         )^2\n                      )\n                    *\n                      (1-(IMABS(IMDIV(COMPLEX(E19-E15,E20-0),COMPLEX(E19+E15,E20+0)))\n                         )^2\n                      )\n                    /\n                      ((IMABS(IMSUM(COMPLEX(-1,0),\n                                    IMPRODUCT(IMEXP(COMPLEX(-2*Alpha_Np_per_m*Length_in_m,-2*Beta_rad_per_m*Length_in_m)),\n                                              IMDIV(COMPLEX(E7-E15,E8-0),COMPLEX(E7+E15,E8+0)),\n                                              IMDIV(COMPLEX(E19-E15,E20-0),COMPLEX(E19+E15,E20+0))\n                                             )\n                                   )\n                             )\n                       )^2\n                      ),\n               11\n              )\n   )","v":0.60905985389999995}]
[null,"   Transducer Power Loss,(P2/Pmax)",null,"dB  ",{"$f":"IF(E67=0,\"P2 = 0\",\n          IF(E67<Epsilon,\"> 100\",\n                         -10*LOG10(E67)\n            )\n   )","v":2.153400260187031}]
[null,"   Available Power-Efficiency,(P2,max/Pmax)",null,null,{"$f":"ROUND(\n       E47 * (1-(IMABS(IMDIV(COMPLEX(E7-E15,E8-0),COMPLEX(E7+E15,E8+0)))\n                )^2\n             )\n           /\n             (1-(IMABS(IMPRODUCT(IMEXP(COMPLEX(-2*Alpha_Np_per_m*Length_in_m,-2*Beta_rad_per_m*Length_in_m)),\n                                 IMDIV(COMPLEX(E7-E15,E8-0),COMPLEX(E7+E15,E8+0))\n                                )\n                      )\n                )^2\n             ),\n       11\n      )","v":0.95165602171999997}]
[null,"   Available Power-Efficiency, as Loss,(P2,max/Pmax)",null,"dB  ",{"$f":"IF(E69<Epsilon,\"> 100\",\n                -10*LOG10(E69)\n   )","v":0.21520000002019823}]
[null,"   Available Efficiency,(P2/P1,max)",null,null,{"$f":"ROUND(\n       E47 * (1-(IMABS(IMDIV(COMPLEX(E19-E15,E20-0),COMPLEX(E19+E15,E20+0)))\n                )^2\n             )\n           /\n             (1-(IMABS(IMPRODUCT(IMEXP(COMPLEX(-2*Alpha_Np_per_m*Length_in_m,-2*Beta_rad_per_m*Length_in_m)),\n                                 IMDIV(COMPLEX(E19-E15,E20-0),COMPLEX(E19+E15,E20+0))\n                                )\n                      )\n                )^2\n             ),\n       11\n      )","v":0.90369482782999999},null,null,null,null,null,null,null,null,null,null,null,null,null,"Read Me"]
[null,"   Available Efficiency, as Loss,(P2/P1,max)",null,"dB  ",{"$f":"IF(E71=0,\"P2 = 0\",\n          IF(E71<Epsilon,\"> 100\",\n                         -10*LOG10(E71)\n            )\n   )","v":0.43978203335476995},null,{"$f":"IF(AND(Network_In=FALSE,Network_Out=FALSE,Supplement!H41<>0),\"Selected Impedance Matching does not require Impedance Match Network.\",\n        IF(AND(OR(Network_In,Network_Out),Supplement!H41<>0,ISNUMBER(E64),ISNUMBER(Supplement!I41)),\"       Matching Figure-of-Merit (Nominal Case) = \"&ROUND(Supplement!I41-E64,2)&\" dB\",\n                                                                                                    \"\"\n          )\n   )","v":""}]
[null,"   Insertion Power-Ratio,(P2,with TL/P2,w/o TL)",null,null,{"$f":"IF(E19>0,ROUND(E67/\n                     ((4*E7*E19) /\n                SUMSQ(E7+E19,E8+E20)),\n                11\n               ),\n          \"P2 = 0\"\n   )","v":0.95165602171999997}]
[null,"   Insertion Power-Ratio,(P2,with TL/P2,w/o TL)",null,"dB  ",{"$f":"IF(NOT(ISNUMBER(E73)),\"P2 = 0\",\n                       IF(E73<Epsilon,\"< -100\",\n                                      10*LOG10(E73)\n                         )\n   )","v":-0.21520000002019823},null,null,null,null,null,null,null,null,"Rev. 1.5.2β"]
[]
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[]
[null,null,{"$f":"MAX($E$63)","v":0.62337267652681994}]
[null,null,{"$f":"COUNT($E$7,$E$8)","v":2}]
[null,null,{"$f":"$E$63<=1","v":true}]
[null,null,{"$f":"$E$63>=0","v":true}]
[null,null,{"$f":"$E$7>=0.001","v":true}]
[null,null,{"$f":"{32767,32767,0.000001,1,FALSE,FALSE,FALSE,1,2,1,0.0001,FALSE}","v":32767}]
[null,null,{"$f":"{0,0,1,100,0,FALSE,FALSE,0.075,0,0,FALSE,30}","v":0}]

{"sheet":"TL-Parameters","index":2,"n_rows":32,"n_cols":12,"rows_kept":32,"cut":false,"hidden":false,"merged":[[26,1,26,4],[27,1,27,4],[18,1,24,1],[25,5,25,6],[24,5,24,6],[20,4,21,4],[18,5,18,6],[19,5,19,6],[17,10,17,11],[1,1,1,11],[15,7,15,11],[17,7,17,8],[7,7,7,8],[3,7,3,11],[4,7,4,11],[9,7,10,10],[3,1,3,4],[4,1,4,4],[7,2,7,3],[11,7,11,8],[5,1,5,3],[16,1,17,1],[6,2,6,3],[8,1,8,3],[19,7,19,9],[18,7,18,8],[9,1,10,1],[15,1,15,4],[11,1,11,3],[12,1,13,1],[14,2,14,4],[20,10,20,11],[39,5,39,6],[40,5,40,6],[35,5,35,6],[36,5,36,6],[23,5,23,6],[22,5,22,6],[21,5,21,6],[20,5,20,6],[20,7,20,8],[49,5,49,6],[46,5,46,6],[5,7,5,9],[41,5,41,6],[42,5,42,6],[8,7,8,8],[6,7,6,8],[16,5,16,6],[45,5,45,6],[47,5,47,6],[14,7,14,11],[15,5,15,6],[16,7,16,11],[17,5,17,6],[18,10,18,11],[19,10,19,11]]}
[]
[null,"Transmission Line Characteristics obtained from Measurements"]
[]
[null,"Transmission Line (TL) Characteristics obtained",null,null,null,null,null,"Conversion Tool"]
[null,"from two Input-Impedance Measurements of TL with cable-end shorted/opened",null,null,null,null,null,"s11 (50Ω) measured  →  Z = Rin + jXin"]
[null,{"$f":"\"Transmission Line (TL)\"","v":"Transmission Line (TL)"},null,null,null,null,null,"   |s11|=ρ=|Γin|, abs",null,null,0.89400000000000002]
[null,null," PHYSICAL LENGTH, l          feet ",null,100,null,null,"s11, angle φ",null,"deg ",-139.31,{"$f":"IF(AND(ABS(K7)>=45,ABS(K7)<=135),1,0)","v":0}]
[null,null," RF-FREQUENCY, f              MHz ",null,3.5,null,"1 & 2","Real(Z), Rin                  ",null,"Ω ",{"$f":"IF(AND(K6=1,K7=0),\"infinite\",\n                   50*IMREAL(IMDIV(COMPLEX(1+K6*COS(RADIANS(K7)),K6*SIN(RADIANS(K7))),\n                                   COMPLEX(1-K6*COS(RADIANS(K7)),-K6*SIN(RADIANS(K7)))\n                                  )\n                            )\n   )","v":3.1816963419214002}]
[null,{"$f":"\"TL with cable-end shorted\"","v":"TL with cable-end shorted"},null,null,null,null,null,"Imag(Z), Xin",null,"jΩ ",{"$f":"IF(AND(K6=1,K7=0),\"infinite\",\n                   50*IMAGINARY(IMDIV(COMPLEX(1+K6*COS(RADIANS(K7)),K6*SIN(RADIANS(K7))),\n                                      COMPLEX(1-K6*COS(RADIANS(K7)),-K6*SIN(RADIANS(K7)))\n                                     )\n                               )\n   )","v":-18.474189779103849}]
[null,"Zshort","TL INPUT IMPEDANCE, Real(Zin), Rin","Ω ",3.5,1]
[null,null,"TL INPUT IMPEDANCE, Imag(Zin), Xin","jΩ ",-18.474189779103849]
[null,{"$f":"\"TL with cable-end opened\"","v":"TL with cable-end opened"},null,null,null,null,null,"  RETURN LOSS, RL",null,"dB ",{"$f":"IF(K6>0,-20*LOG10(K6),\n         \"infinite\"\n   )","v":0.97324962408164639}]
[null,"Zopen","TL INPUT IMPEDANCE, Real(Zin), Rin","Ω ",29.95,2]
[null,null,"TL INPUT IMPEDANCE, Imag(Zin), Xin","jΩ ",136.38]
[null,"Read Me",null,null,null,null,null,"Transmission Line Attenuation, obtained from"]
[null,{"$f":"\"RESULTS: TL-Parameter Values at \"&ROUND(E8,2)&\"MHz\"","v":"RESULTS: TL-Parameter Values at 3.5MHz"},null,null,null,null,null,"measured Return Loss for Line Shorted/Opened"]
[null,"Zo"," CHARACTERISTIC IMPEDANCE, Real(Zₒ), Rₒ","Ω ",{"$f":"IMREAL(IMSQRT(IMPRODUCT(COMPLEX(E10,E11),COMPLEX(E13,E14))))","v":51.233628760439998}]
[null,null," CHARACTERISTIC IMPEDANCE, Imag(Zₒ), Xₒ ","jΩ ",{"$f":"ROUND(IMAGINARY(IMSQRT(IMPRODUCT(COMPLEX(E10,E11),COMPLEX(E13,E14)))),12)","v":-0.74142692721799996},null,null," RETURN LOSS, RL",null,"dB ",0.97324962408164639]
[null,"γ"," MATCHED LINE LOSS, ATTENUATION, α",{"$f":"CHOOSE(MATCH(C7,Supplement!G84:G85,0),\"dB/100m \",\"dB/100ft \")","v":"dB/100ft "},{"$f":"IF(ISNUMBER(F19),F19*(8.686*(100/E7)),\"\")","v":0.56596814123193351},{"$f":"IFERROR(0.5*IMREAL(IMSUB(IMLN(IMSUM(COMPLEX(1,0),IMSQRT(IMDIV(COMPLEX(E10,E11),\n                                                               COMPLEX(E13,E14)\n                                                              )\n                                                        )\n                                    )\n                              ),\n                          IMLN(IMSUB(COMPLEX(1,0),IMSQRT(IMDIV(COMPLEX(E10,E11),\n                                                               COMPLEX(E13,E14)\n                                                              )\n                                                        )\n                                    )\n                              )\n                         )\n                   ),\n         \"\"\n        )","v":6.5158662356888497E-2},null," ATTENUATION, a",null,"dB ",{"$f":"8.686*K18/(40*LOG10(EXP(1)))","v":0.48663099504084922}]
[null,null," VELOCITY FACTOR, VF (principal value   #0)",null,{"$f":"IFERROR(F22/(F21+(IF(F22<F21,0,ROUNDUP((F22-F21)/PI(),0))+0)*PI()),\"\")","v":0.79996553348892974},{"$f":"IFERROR(0.5*IMAGINARY(IMSUB(IMLN(IMSUM(COMPLEX(1,0),IMSQRT(IMDIV(COMPLEX(E10,E11),\n                                                                  COMPLEX(E13,E14)\n                                                                 )\n                                                           )\n                                       )\n                                 ),\n                             IMLN(IMSUB(COMPLEX(1,0),IMSQRT(IMDIV(COMPLEX(E10,E11),\n                                                                  COMPLEX(E13,E14)\n                                                                 )\n                                                           )\n                                       )\n                                 )\n                            )\n                      ),\n         \"\"\n        )","v":-0.34666290247071602},null," PHYSICAL LENGTH, l   feet ",null,null,100]
[null,null,null,null,{"$f":"IF(OR(E17<0,E11*E14>0),3,\n                        IF(ABS(E18)>E17*IF(OR(Supplement!H86=0,Supplement!H87=0),0,MIN(Supplement!H86/Supplement!H87,Supplement!H87/Supplement!H86)),2,\n                                                                                                                                                     1\n                          )\n   )","v":1},{"$f":"IF(ISNUMBER(F20),F20 + IF(F20<0,PI(),0),\n                  \"\"\n   )","v":2.7949297511190769},null," ATTENUATION, α",null,{"$f":"CHOOSE(MATCH(H20,Supplement!G95:G96,0),\"dB/100m \",\"dB/100ft \")","v":"dB/100ft "},{"$f":"IFERROR(100*(K19/K20),\"\")","v":0.48663099504084922}]
[null,null,null,null,null,{"$f":"(2*PI()*E8*1000000)*(E7*CHOOSE(MATCH(C7,Supplement!G84:G85,0),1,0.3048)/299792458)\n\n+N(\"This is the Cable-Length in rad, at VF=1.\")","v":2.2358474694180539}]
[null,null,{"$f":"IF(Supplement!H91=FALSE,\" VELOCITY FACTOR, VF (alternative value #1)    \",\"\")","v":""},null,{"$f":"IFERROR(F22/(F21+(IF(F22<F21,0,ROUNDUP((F22-F21)/PI(),0))+1)*PI()),\"\")","v":0.37662579486680148}]
[null,null,{"$f":"IF(Supplement!H92=FALSE,\" VELOCITY FACTOR, VF (alternative value #2)    \",\"\")","v":""},null,{"$f":"IFERROR(F22/(F21+(IF(F22<F21,0,ROUNDUP((F22-F21)/PI(),0))+2)*PI()),\"\")","v":0.2462898360573407}]
[null,null," VELOCITY FACTOR, VF (alternative value #K), K=",0,{"$f":"IFERROR(F22/(F21+(IF(F22<F21,0,ROUNDUP((F22-F21)/PI(),0))+D25)*PI()),\"\")","v":0.79996553348892974}]
[]
[null,{"$f":"CHOOSE(E21,\"\",\n            \"The entered Impedance values are inconsistent, or too inaccurate, to imply a complete set of\",\n            \"The entered Impedance values are inconsistent to obtain TL-Parameter values.\"\n       )","v":""}]
[null,{"$f":"CHOOSE(E21,\"\",\n            \"valid TL values. After 'Copy → TL-System,' the TL values can there be adjusted for consistency.\",\n            \"\"\n       )","v":""}]
[]
[]
[]
[null,"  "]

{"sheet":"Supplement","index":3,"n_rows":401,"n_cols":48,"rows_kept":401,"cut":false,"hidden":false,"merged":[[0,27,1,37],[75,7,75,8],[76,7,76,8],[72,7,72,8],[57,7,57,8],[74,7,74,8],[15,6,15,8],[56,6,56,8],[43,7,43,8],[52,7,52,8],[53,7,53,8],[3,24,4,25],[55,7,55,8],[59,7,59,8],[60,7,60,8],[20,7,20,8],[193,15,193,16],[23,7,23,8],[71,7,71,8],[194,15,194,16],[54,7,54,8],[51,7,51,8],[30,7,30,8],[61,7,61,8],[62,7,62,8],[63,7,63,8],[64,7,64,8],[65,7,65,8],[94,7,94,8],[95,7,95,8],[66,7,66,8],[68,7,68,8],[47,7,47,8],[32,7,32,8],[31,7,31,8],[24,7,24,8],[44,7,44,8],[45,7,45,8],[46,7,46,8],[24,41,24,49],[14,41,14,49],[23,41,23,49],[20,41,20,49],[21,41,21,49],[22,41,22,49],[30,47,30,49],[28,40,29,49],[26,41,26,49],[27,41,27,49],[25,41,25,49],[4,41,5,48],[6,41,6,49],[7,41,7,49],[19,7,19,8],[19,41,19,49],[8,41,8,49],[9,41,9,49],[15,41,15,49],[10,41,10,49],[11,41,11,49],[12,41,12,49],[13,41,13,49],[16,41,16,49],[17,41,17,49],[18,41,18,49],[93,7,93,8],[78,7,78,8],[79,7,79,8],[196,8,197,12],[195,15,195,16],[82,6,82,8],[83,7,83,8],[90,7,90,8],[85,7,85,8],[86,7,86,8],[87,7,87,8],[88,7,88,8],[89,7,89,8],[91,7,91,8],[92,7,92,8],[196,15,196,16],[57,27,58,37],[69,7,69,8],[70,7,70,8],[67,7,67,8],[84,7,84,8],[58,7,58,8],[77,7,77,8],[73,7,73,8]]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For Information Only: Applied Equations."]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Read Disclaimer"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"References"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"William T. Joines, W. D. Palmer, Jennifer T. Bernhard, \"Microwave Transmission Line"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Circuits.\" Artech House, Norwood, 2013."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Dylan Williams, \"Traveling Waves and Power Waves,\" IEEE Microwave Magazine, November/December 2013, "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pp. 38-45, November/December 2013. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Shuhei Amakawa, \"Scattered Reflections on Scattering Parameters - Demystifying"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Complex-Referenced S Parameters,\" IEICE Trans. Electron.,Vol. E99-C, No. 10, Oct 2016."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Luitjens Popken, \"Das hartnäckige Mysterium der „Totalreflexion“ auf HF-Leitungen,\""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(in German), Issue 1, Rev. 2, May 2021. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Jim Stiles, \"Matching with lumped elements,\" Department of Electrical Engineering and"]
[null,null,null,null,null,null,"Worksheet \"TL-System\" Support",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Computer Science. EECS 723 - Microwave Engineering - course handout, Univ. Kansas."]
[null,null,null,null,null,null," ELECTRICAL LENGTH     (length/λ) ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Train your Critical Reading:"]
[null,null,null,null,null,null," ELECTRICAL LENGTH            deg ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"M. Walter Maxwell, \"Another Look at Reflections,\" QST Magazine, ARRL, Part 1,"]
[null,null,null,null,null,null," PHYSICAL LENGTH,  l           m  ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"April 1973, pp. 35-41; Part 2, June 1973, pp. 20-27; Part 3, Aug. 1973, pp. 36-43;"]
[null,null,null,null,null,null," PHYSICAL LENGTH,  l         feet ","TL Physical Length:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Part 4, Oct. 1973, pp. 22-29; Part 5, April 1974, pp. 26-29, 160-165;  Part 6, Dec. 1974,"]
[null,null,null,null,null,null," PROPAGAT. DELAY, T          nsec ",{"$f":"'TL-System'!E11\n                *IF(MATCH('TL-System'!C11,G17:G21,0)<3,CHOOSE(MATCH('TL-System'!C12,G26:G32,0),IF(MATCH('TL-System'!C11,G17:G21,0)=2,(1/360),1)*299.792458*'TL-System'!E14/'TL-System'!E12,\n                                                                                               'TL-System'!E12,\n                                                                                               'TL-System'!E12*0.3048,\n                                                                                               2*PI()/'TL-System'!E12,\n                                                                                               2*PI()*0.3048/'TL-System'!E12,\n                                                                                               360/'TL-System'!E12,\n                                                                                               360*0.3048/'TL-System'!E12\n                                                             ),CHOOSE(MATCH('TL-System'!C11,G17:G21,0)-2,1,\n                                                                                                         0.3048,\n                                                                                                         0.299792458*'TL-System'!E14)\n                   )","v":12.192},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pp. 11-14, 158-166; Part 7, Aug. 1976, pp. 15-20. "]
[null,null,null,null,null,null," ATTENUATION, α           dB/100m ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"\"Technical Correspondence - Corrections to Another Look at Reflections,\" QST, Aug."]
[null,null,null,null,null,null," ATTENUATION, α          dB/100ft ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1991, p. 42. "]
[null,null,null,null,null,null," ATTENUATION, α           Np/100m ","Attenuation a:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tools for the Design of Impedance Match Circuits:"]
[null,null,null,null,null,null," ATTENUATION, α          Np/100ft ",{"$f":"CHOOSE(MATCH('TL-System'!C13,G22:G25,0),0.01*'TL-System'!E13*(0.05*LN(10)),\n                                         0.01*'TL-System'!E13*(0.05*LN(10))*(1/0.3048),\n                                         0.01*'TL-System'!E13,\n                                         0.01*'TL-System'!E13*(1/0.3048)\n       )","v":2.0321371063497322E-3},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"F. Dellsperger, Smith-Chart Software and related Documents, \"Smith V4.1\","]
[null,null,null,null,null,null," RF-FREQUENCY, f              MHz ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"January 2018."]
[null,null,null,null,null,null," ELECTRICAL WAVELENGTH, λ      m  ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Analog Devices, RF Impedance Matching Calculator."]
[null,null,null,null,null,null," ELECTRICAL WAVELENGTH, λ    feet "]
[null,null,null,null,null,null," PHASE CONSTANT, ß          rad/m ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ref. Numbers [1] to [8] are clickable and include Hyperlinks to publications or software."]
[null,null,null,null,null,null," PHASE CONSTANT, ß       rad/foot "]
[null,null,null,null,null,null," PHASE CONSTANT, ß          deg/m ","Phase Constant b:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Status: January 2023"]
[null,null,null,null,null,null," PHASE CONSTANT, ß       deg/foot ",{"$f":"CHOOSE(MATCH('TL-System'!C12,G26:G32,0),(2*PI()*'TL-System'!E12)/(299.792458*'TL-System'!E14),\n                                         (2*PI())/('TL-System'!E12+IF('TL-System'!E12=0,0.000001,0)),\n                                         (2*PI())/(('TL-System'!E12+IF('TL-System'!E12=0,0.000001,0))*0.3048),\n                                         'TL-System'!E12,\n                                         'TL-System'!E12/0.3048,\n                                         RADIANS('TL-System'!E12),\n                                         RADIANS('TL-System'!E12)/0.3048\n       )","v":9.146455831459957E-2}]
[null,null,null,null,null,null,"Date:"]
[null,null,null,null,null,null,{"$f":"IF(AND(H45=TRUE,ISNUMBER('TL-System'!E64)),\n    IF('TL-System'!E50<=1,IF('TL-System'!E47=1,\" \",\n                                               \" Matched Line Loss\"\n                            ),\n                          \" Total Line Loss\"\n      ),\n    \"\"\n   )","v":" Total Line Loss"},{"$f":"IF(OR('TL-System'!F12=0,NOT(ISNUMBER('TL-System'!E48)),NOT(ISNUMBER('TL-System'!E64)),'TL-System'!E64=0),\n                      #N/A,\n                      IF('TL-System'!E50<=1,IF(AND('TL-System'!E48>0,'TL-System'!E48/('TL-System'!E64)>=0.005),'TL-System'!E48,\n                                                                                                                #N/A\n                                              ),\n                                              IF(ISNUMBER('TL-System'!E54),IF(AND('TL-System'!E54>0,'TL-System'!E54/('TL-System'!E64)>=0.005),'TL-System'!E54,\n                                                                                                                                               #N/A\n                                                                             ),\n                                                                           #N/A\n                                                )\n                        )\n   )","v":0.14086859309014921},"Pie-Plot"]
[null,null,null,null,null,null,{"$f":"IF(OR(H45=FALSE,NOT(ISNUMBER('TL-System'!E64)),'TL-System'!E56=1),\"\",\n                                                                   \" Impedance Mismatch Loss\"\n   )","v":" Impedance Mismatch Loss"},{"$f":"IF(OR('TL-System'!F12=0,NOT(ISNUMBER('TL-System'!E57)),NOT(ISNUMBER('TL-System'!E64)),'TL-System'!E64=0),\n      #N/A,\n      IF(AND('TL-System'!E57>0,'TL-System'!E57/('TL-System'!E64)>=0.005),'TL-System'!E57,\n                                                                         #N/A\n        )\n   )","v":1.9116537819079218},"Pie-Plot"]
[null,null,null,null,null,null,{"$f":"IF(AND(H45=TRUE,ISNUMBER('TL-System'!E64),'TL-System'!E50<1),\" SWR Additional Loss\",\n                                                              \"\"\n   )","v":""},{"$f":"IF(OR('TL-System'!F12=0,NOT(ISNUMBER('TL-System'!E51)),NOT(ISNUMBER('TL-System'!E64)),'TL-System'!E64=0),\n      #N/A,\n      IF('TL-System'!E50<=1,IF(ISNUMBER('TL-System'!E51),IF(AND('TL-System'!E51>0,'TL-System'!E51/('TL-System'!E64)>=0.005),'TL-System'!E51,\n                                                                                                                            #N/A\n                                                           ),\n                                                         #N/A\n                              ),\n                            #N/A\n        )\n   )","v":{"$error":"#N/A"}},"Pie-Plot"]
[null,null,null,null,null,null,"Switch for Transducer Plot:",1]
[null,null,null,null,null,null,null,{"$f":"CHOOSE(H37,0,\n            IF(AND('TL-System'!E16<>0,Alpha_Np_per_m>0),MIN((ABS('TL-System'!E16)/'TL-System'!E15)*(Beta_rad_per_m/Alpha_Np_per_m),1\n                                                           ),\n                                                        0\n              )\n       )","v":0},{"$f":"CHOOSE(H37,2,\n            IF(AND('TL-System'!E16<>0,Alpha_Np_per_m>0),MIN(('TL-System'!E15/ABS('TL-System'!E16))*(Beta_rad_per_m/Alpha_Np_per_m),2\n                                                           ),\n                                                        2\n              )\n       )","v":2}]
[null,null,null,null,null,null,"Buffers Rs, Xs",50,0]
[null,null,null,null,null,null,"Buffers: RL, XL",50,75]
[null,null,null,null,null,null,"Selector of Matching-Case, (0), (1) to (8)",0,2.0525223749980714]
[null,null,null,null,null,null,"Font_Counter",1]
[null,null,null,null,null,null,"\"Auto\"-Switch",false,0]
[null,null,null,null,null,null,"Transmission Line Input Parameters Consistency Check",{"$f":"'TL-System'!E15*IF(OR(Alpha_Np_per_m=0,Beta_rad_per_m=0),0,\n                                                          MIN(Alpha_Np_per_m/Beta_rad_per_m,Beta_rad_per_m/Alpha_Np_per_m)\n                   )","v":1.1108877273315179}]
[null,null,null,null,null,null,"Input-Parameter Check",{"$f":"ABS('TL-System'!E16)<='TL-System'!E15*IF(OR(Alpha_Np_per_m=0,Beta_rad_per_m=0),0,\n                                                                                MIN(Alpha_Np_per_m/Beta_rad_per_m,Beta_rad_per_m/Alpha_Np_per_m)\n                                         )","v":true}]
[null,null,null,null,null,null,"Plot-Check, Count of Inconsistencies",{"$f":"CHOOSE(H37,COUNTIF(N201:N401,\">1.005\")+COUNTIF(N201:N401,\"<-0.005\"),\n            0\n       )","v":0}]
[null,null,null,null,null,null,"Criterion for Flag-Color",{"$f":"IF(H45=FALSE,0,1)","v":1}]
[null,null,null,null,null,null,"CCM applies at all values of length/attenuation",true]
[null,null,null,null,null,null,"Excel Add-in SOLVER installed",false,{"$f":"AND(H49,H41=5,'TL-System'!H16<>0)","v":false}]
[null,null,null,null,null,null,"2-Port Network Presence @ Input/Output",false,false]
[null,null,null,null,null,null,"Feedline System Information (User Form), Tabs 1 & 2",false,false]
[null,null,null,null,null,null,"RF-Frequency, f        MHz",{"$f":"Beta_rad_per_m*299.792458*'TL-System'!E14/(2*PI())","v":3.5}]
[null,null,null,null,null,null,"Series Resistance, R",{"$f":"IF(Alpha_Np_per_m*'TL-System'!E15<Beta_rad_per_m*'TL-System'!E16,\"inconsistent!\",\n                                                                  ROUND(1000*(Alpha_Np_per_m*'TL-System'!E15-Beta_rad_per_m*'TL-System'!E16)*IF(H51,0.3048,1),3)&IF(H51,\" mΩ/ft\",\" mΩ/m\")\n   )","v":"202.218 mΩ/m"}]
[null,null,null,null,null,null,"Series Inductance, L",{"$f":"IF(Beta_rad_per_m*'TL-System'!E15<-Alpha_Np_per_m*'TL-System'!E16,\"inconsistent!\",\n                                                                   IFERROR(ROUND((1000000000*(Beta_rad_per_m*'TL-System'!E15+Alpha_Np_per_m*'TL-System'!E16)/(2*PI()*(1000000*H52)))*IF(H51,0.3048,1),3)&IF(H51,\" nH/ft\",\" nH/m\"),\n                                                                           \"undefined\"\n                                                                          )\n   )","v":"207.856 nH/m"}]
[null,null,null,null,null,null,"Shunt Conductance, G",{"$f":"IF(Alpha_Np_per_m*'TL-System'!E15<-Beta_rad_per_m*'TL-System'!E16,\"inconsistent!\",\n                                                                   ROUND(1000000*(Alpha_Np_per_m*'TL-System'!E15+Beta_rad_per_m*'TL-System'!E16)/SUMSQ('TL-System'!E15,'TL-System'!E16)*IF(H51,0.3048,1),3)&IF(H51,\" μS/ft\",\" μS/m\")\n   )","v":"0.398 μS/m"}]
[null,null,null,null,null,null,"Shunt Capacitance, C",{"$f":"IF(Beta_rad_per_m*'TL-System'!E15<Alpha_Np_per_m*'TL-System'!E16,\"inconsistent!\",\n                                                                  IFERROR(ROUND((1000000000000*(Beta_rad_per_m*'TL-System'!E15-Alpha_Np_per_m*'TL-System'!E16)/(2*PI()*(1000000*H52)*SUMSQ('TL-System'!E15,'TL-System'!E16)))*IF(H51,0.3048,1),3)&IF(H51,\" pF/ft\",\" pF/m\"),\n                                                                          \"undefined\"\n                                                                         )\n   )","v":"83.183 pF/m"}]
[null,null,null,null,null,null,{"$f":"IF(H47=0,\"\",\n          IF(Alpha_Np_per_m=0,\"Lossless Transmission Line\",\n                              IF(AND(Beta_rad_per_m*'TL-System'!E15>Alpha_Np_per_m*'TL-System'!E16,'TL-System'!E16>0),\"Dielectric Loss dominates.\",\n                                 IF(AND(Alpha_Np_per_m*'TL-System'!E15>-Beta_rad_per_m*'TL-System'!E16,'TL-System'!E16<0),\"Ohmic Loss dominates.\",\n                                                                                                                          \"Ohmic Loss = Dielectric Loss (Heaviside TL)\"\n                                   )\n                                )\n            )\n   )","v":"Ohmic Loss dominates."}]
[null,null,null,null,null,null,"Reflection Coefficient @ TL Input, abs, |Γin|=ρin",{"$f":"ROUND('TL-System'!E30,3)","v":0.58199999999999996},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For Information Only: Applied Equations."]
[null,null,null,null,null,null,"Reflection Coefficient @ Load, abs, |ΓL|=ρL",{"$f":"ROUND('TL-System'!E25,3)","v":0.61199999999999999}]
[null,null,null,null,null,null,"Reflection Coefficient @ TL Input, angle",{"$f":"IF(AND('TL-System'!E28=0,'TL-System'!E29=0),\"n/a\",\n                                             ROUND(ATAN2('TL-System'!E28,'TL-System'!E29)*(180/PI()),1\n                                                  )&\"°\"\n   )","v":"-74.2°"}]
[null,null,null,null,null,null,"Reflection Coefficient @ Load, angle",{"$f":"IF(AND('TL-System'!E23=0,'TL-System'!E24=0),\"n/a\",\n                                             ROUND(ATAN2('TL-System'!E23,'TL-System'!E24)*(180/PI()),1\n                                                  )&\"°\"\n   )","v":"53.5°"}]
[null,null,null,null,null,null,"Standing Wave Ratio @ TL Input, SWRin",{"$f":"IF(ABS('TL-System'!E30-1)>0.000002,ROUND(ABS((1+'TL-System'!E30)/\n                                              (1-'TL-System'!E30)\n                                             ),2\n                                         )&\":1\",\n                                    \">1E6 :1\"\n   )","v":"3.79:1"}]
[null,null,null,null,null,null,"Standing Wave Ratio @ Load, SWRL",{"$f":"IF(ISNUMBER('TL-System'!E26),ROUND('TL-System'!E26,2)&\":1\",\n                              \">1E6 :1\"\n   )","v":"4.15:1"}]
[null,null,null,null,null,null,"Return Loss @ TL Input",{"$f":"IF(H58>1,\"|Γ|>1\",\n          IF(H58>0,ROUND(-20*LOG10(H58),2)&\"dB\",\n                   \"∞ dB\"\n            )\n   )","v":"4.7dB"}]
[null,null,null,null,null,null,"Return Loss @ Load",{"$f":"IF(H59>1,\"|Γ|>1\",\n          IF(H59>0,ROUND(-20*LOG10(H59),2)&\"dB\",\n                   \"∞ dB\"\n            )\n   )","v":"4.26dB"}]
[null,null,null,null,null,null,"Impedance Mismatch Loss @ TL Input",{"$f":"IF(OR('TL-System'!E7=0,'TL-System'!E32=0),\"∞ dB\",ROUND(-10*LOG10((4*'TL-System'!E7*'TL-System'!E32) /\n                                                                   SUMSQ('TL-System'!E7+'TL-System'!E32,'TL-System'!E8+'TL-System'!E33)\n                                                                 ),2\n                                                       )&\"dB\"\n   )","v":"1.91dB"}]
[null,null,null,null,null,null,"Impedance Mismatch Loss @ Load",{"$f":"IF(OR('TL-System'!E19=0,'TL-System'!E43=0),\"∞ dB\",ROUND(-10*LOG10((4*'TL-System'!E19*'TL-System'!E43) /\n                                                                   SUMSQ('TL-System'!E19+'TL-System'!E43,'TL-System'!E20+'TL-System'!E44)\n                                                                  ),2\n                                                        )&\"dB\"\n   )","v":"1.84dB"}]
[null,null,null,null,null,null,"TL Length Extension (User Form)"]
[null,null,null,null,null,null,"Buffer, Transducer Loss (dB)",{"$f":"MIN(K301:K401)","v":2.0525224605252474}]
[null,null,null,null,null,null,"Required Extension in Length",{"$f":"IF(AND(Match_Mode=0,H37=1,H45,ISNUMBER('TL-System'!E64)),(INDEX(J301:J401,MATCH(MIN(K301:K401),K301:K401,0))-1)*'TL-System'!E11,\n                                                          \"n/a\"\n   )","v":0}]
[null,null,null,null,null,null,"UF-Display: Required Extension in Length",{"$f":"IF(ISNUMBER(H70),ROUND(H70,2)&CHOOSE(MATCH('TL-System'!C11,G17:G21,0),\" λ\",\" deg\",\" m\",\" feet\",\" nsec\")&IF('TL-System'!E11=0,\"\",\"  (\"&ROUND(100*(H70/'TL-System'!E11),2)&\"%)\"),\n                  \"n/a\"\n   )","v":"0 feet  (0%)"}]
[null,null,null,null,null,null,"UF-Display: Merit of Reduction in System-Loss (dB)",{"$f":"IF(AND(ISNUMBER(H69),ISNUMBER(H70)),ROUND('TL-System'!E64-H69,2)&\" dB\",\n                                     \"n/a\"\n   )","v":"0 dB"}]
[null,null,null,null,null,null,"Feedline System Information (User Form), Tab 3"]
[null,null,null,null,null,null,"Forward Power @ TL Output",{"$f":"IF(AND('TL-System'!E25<1,'TL-System'!E63>0),'TL-System'!E63/(1-('TL-System'!E25^2)-2*('TL-System'!E16/'TL-System'!E15)*'TL-System'!E24),\n                                             IF(AND('TL-System'!E47<1,'TL-System'!E56>0,'TL-System'!E63=0),'TL-System'!E56*'TL-System'!E47/(1-('TL-System'!E47^2)),\n                                                                                                           IF(AND('TL-System'!E56=0,'TL-System'!E63=0),4*'TL-System'!E7*'TL-System'!E15/(('TL-System'!E7+'TL-System'!E15)^2+('TL-System'!E8+'TL-System'!E16)^2),\n                                                                                                                                                       \"n/av\")\n                                               )\n   )","v":0.96334332783805587}]
[null,null,null,null,null,null,"Forward Power @ TL Input",{"$f":"IF(ISNUMBER(H74),IF(H74=0,IF(Sw_dB,\"-∞ dB\",\"0%\"),\n                           ROUND(IF(Sw_dB,10*LOG10(H74/'TL-System'!E47),\n                                          100*H74/'TL-System'!E47\n                                   ),\n                                 IF(Sw_dB,2,1)\n                                )&IF(Sw_dB,\"dB\",\"%\")\n                    ),\n\n                  \"n/av\"\n   )","v":"101.2%"}]
[null,null,null,null,null,null,"Forward Power @ TL Output",{"$f":"IF(ISNUMBER(H74),IF(H74=0,IF(Sw_dB,\"-∞ dB\",\"0%\"),\n                           ROUND(IF(Sw_dB,10*LOG10(H74),\n                                          100*H74\n                                   ),\n                                 IF(Sw_dB,2,1)\n                                )&IF(Sw_dB,\"dB\",\"%\")\n                    ),\n\n                  \"n/av\"\n   )","v":"96.3%"}]
[null,null,null,null,null,null,"Return Power @ TL Input",{"$f":"IF(ISNUMBER(H74),IF(OR(H74=0,'TL-System'!E25=0),IF(Sw_dB,\"-∞ dB\",\"0%\"),\n                                                 IF(AND(ABS(H74-'TL-System'!E63)>0,ABS(H74-'TL-System'!E63)<0.001),IF(Sw_dB,\"<-30dB\",\"<0.1%\"),\n                                                                                                                   ROUND(IF(Sw_dB,10*LOG10((H74/'TL-System'!E47)-'TL-System'!E56),\n                                                                                                                                  100*((H74/'TL-System'!E47)-'TL-System'!E56)\n                                                                                                                           ),\n                                                                                                                         IF(Sw_dB,2,1)\n                                                                                                                        )&IF(Sw_dB,\"dB\",\"%\")\n                                                   )\n                    ),\n\n                  \"n/av\"\n   )","v":"36.8%"}]
[null,null,null,null,null,null,"Return Power @ TL Output",{"$f":"IF(ISNUMBER(H74),IF(OR(H74=0,'TL-System'!E25=0),IF(Sw_dB,\"-∞ dB\",\"0%\"),\n                                                 IF(AND(ABS(H74-'TL-System'!E63)>0,ABS(H74-'TL-System'!E63)<0.001),IF(Sw_dB,\"<-30dB\",\"<0.1%\"),\n                                                                                                                   ROUND(IF(Sw_dB,10*LOG10(H74-'TL-System'!E63),\n                                                                                                                                  100*(H74-'TL-System'!E63)\n                                                                                                                           ),\n                                                                                                                         IF(Sw_dB,2,1)\n                                                                                                                        )&IF(Sw_dB,\"dB\",\"%\")\n                                                   )\n                    ),\n\n                  \"n/av\"\n   )","v":"34%"}]
[null,null,null,null,null,null,"Power Pseudo Re-Reflection @Source",{"$f":"IF(OR(Match_Mode=1,Match_Mode=5),H77,\"\")","v":""}]
[null,null,null,null,null,null,"Switch(\"Sw_dB\"): TRUE(for dB), or FALSE(for %)",false]
[]
[]
[null,null,null,null,null,null,"Worksheet \"TL-Parameters\" Support"]
[null,null,null,null,null,null," PHYSICAL LENGTH, l             m "]
[null,null,null,null,null,null," PHYSICAL LENGTH, l          feet "]
[null,null,null,null,null,null,"Attenuation, α [Neper/m]",{"$f":"IF(ISNUMBER('TL-Parameters'!E19),'TL-Parameters'!E19/(100*8.686*IF('TL-Parameters'!D19=\"dB/100ft \",0.3048,1)),\"\")","v":2.1377513896616964E-3}]
[null,null,null,null,null,null,"Phase Constant, β (principal value) [rad/m]",{"$f":"IF(ISNUMBER('TL-Parameters'!E20),2*PI()*'TL-Parameters'!E8*1000000/(299792458*'TL-Parameters'!E20),\"\")","v":9.1697170312305676E-2}]
[null,null,null,null,null,null,"Phase Constant, β (alternative value #1) [rad/m]",{"$f":"IF(OR(H87=\"\",'TL-Parameters'!E20=\"\",'TL-Parameters'!E23=\"\"),\"\",\n                                                             H87*('TL-Parameters'!E20/'TL-Parameters'!E23)\n   )","v":0.19476779543008102}]
[null,null,null,null,null,null,"Phase Constant, β (alternative value #2) [rad/m]",{"$f":"IF(OR(H87=\"\",'TL-Parameters'!E20=\"\",'TL-Parameters'!E23=\"\"),\"\",\n                                                             H87*('TL-Parameters'!E20/'TL-Parameters'!E24)\n   )","v":0.29783842054785648}]
[null,null,null,null,null,null,"Phase Constant, β (alternative value #K) [rad/m]",{"$f":"IF(OR(H87=\"\",'TL-Parameters'!E20=\"\",'TL-Parameters'!E25=\"\"),\"\",\n                                                             H87*('TL-Parameters'!E20/'TL-Parameters'!E25)\n   )","v":9.1697170312305676E-2}]
[null,null,null,null,null,null,"Failed Validat. for Phase Constant, β (altern. value #1)",{"$f":"IF(OR('TL-Parameters'!E17=\"\",'TL-Parameters'!E18=\"\",H86=\"\",H88=\"\"),\"\",\n                                                                    ABS('TL-Parameters'!E18)>'TL-Parameters'!E17*IF(OR(H86=0,H88=0),0,MIN(H86/H88,H88/H86))\n   )","v":true}]
[null,null,null,null,null,null,"Failed Validat. for Phase Constant, β (altern. value #2)",{"$f":"IF(OR('TL-Parameters'!E17=\"\",'TL-Parameters'!E18=\"\",H86=\"\",H88=\"\"),\"\",\n                                                                    ABS('TL-Parameters'!E18)>'TL-Parameters'!E17*IF(OR(H86=0,H89=0),0,MIN(H86/H89,H89/H86))\n   )","v":true}]
[null,null,null,null,null,null,"Failed Validat. for Phase Constant, β (altern. value #K)",{"$f":"IF(OR('TL-Parameters'!E17=\"\",'TL-Parameters'!E18=\"\",H86=\"\",H90=\"\"),\"\",\n                                                                    ABS('TL-Parameters'!E18)>'TL-Parameters'!E17*IF(OR(H86=0,H90=0),0,MIN(H86/H90,H90/H86))\n   )","v":false}]
[]
[null,null,null,null,null,null," PHYSICAL LENGTH, l      m "]
[null,null,null,null,null,null," PHYSICAL LENGTH, l   feet "]
[]
[null,null,null,null,null,null,"Filled cells have Name"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND('TL-System'!E11=0,H37=1),\"             \",\n                                 \" Matched Line\"\n   )","v":" Matched Line"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISNUMBER(K301),\" Nominal Case\",\"             \")","v":" Nominal Case"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(H45=FALSE,H46>10,COUNTIF(O201:O401,\"#N/A\")=201,AND('TL-System'!E11=0,H37=1)),\"                \",\n                                                                                    \" Transducer Loss\"\n   )","v":" Transducer Loss"}]
[null,null,null,null,null,null,null,null,"For Chart-Display",null,null,null,null,null,null,{"$f":"IF(AND(COUNTIF(Q201:Q401,\"#N/A\")<201,OR(AND(H37=1,'TL-System'!E11>0),AND(H37=2,'TL-System'!E13>0))),\" ARRL Equation\",\n                                                                                                     \"              \"\n   )","v":" ARRL Equation"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF('TL-System'!E25>1,#N/A,\n                      IFERROR('TL-System'!E47    *    (1-('TL-System'!E25^2)) /\n                                 (1-('TL-System'!E47*'TL-System'!E25)^2),\n                              #N/A\n                             )\n   )","v":0.90075847403393805}]
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