Module 2 : Transmission Lines
Lecture 4 : Physical Interpretation of Voltage & Current Solution
  Complex Propogation Constant
The propagation constant in general is complex
  MATH
 
The wave amplitude varies as . That is denotes the exponential decay of the wave along its direction of propagation.  therefore is called the 'Attenuation Constant' of the line . It has the unit Neper/m . For =1 Neper/m, the wave amplitude reduces to 1/e of its initial value over a distance of 1m.
Many times the attenuation of a wave is measured in terms of dB/m. therefore can be given in dB/m, where
 
1 Neper/m = 8.68 dB/m
  Note
 
In voltage/current expressions, should always be in Neper/m. Therefore if is given in dB/m it should be converted to Neper/m before it is used in the voltage/current equations.
   
  The wave phase has two components
Time phase
Space phase
 
The parameter gives the phase change per unit length and hence called the 'Phase Constant' of the line. Its units are Radian/m.
 
Now for a wave the distance over which the phase changes by is called the ' wavelength ' . Therefore the phase change per unit length