Ideal Transmission Line Formulas 

Microwave Bands 

Phase Constant  b    

  9LC  =  w/vp = 2p /l      

L-Band

1-2Ghz 

Characteristic Impedance  Z0    

  9L/C      

S-Band

2-4GHz 

Input Impedance  Zi       Z0 (ZL cosb l +jZ0 sinbl)/(ZL cosb l +jZ0 sinbl)  

C-Band

4-8GHz 

Impedance shorted Line  (ZL =0)      jZ0 tanbl    

X-Band

8-12GHz 

Impedance open Line  (ZL = J)      -jZ0 cotbl    

Ku-Band

12-18GHz 

Impedance of Quarter Wave Line   

   Z20 / ZL    

K-Band

18-26.5GHz 

Impedance of Half Wave Line   

   ZL    

Ka-Band

26.5-40GHz 

Reflection coefficient r @ Load   

   (ZL - Z0) / (ZL + Z0)   

 

Standing-Wave Ratio    

   (1 + lrl) / (1 - lr)      

    1 mil = 25.4 microns    

1micron = 0.040 mils 

   l = wavelength measured along the line.         w  =  angular frequency. 

oC = 5/9 * (oF -32)    

oF = (9/5 oC) + 32