Question

Define angular frequency w and propagation constant k and hence show that the velocity of the wave propagation is v = w/k =ny~

Answer 1

Angular frequency-
Angular frequency (ω), also known as radial or circular frequency, measuresangular displacement per unit time.
Its units are therefore degrees (or radians) per second. Angular frequency (in radians) is larger than regular frequency (in Hz) by a factor of 2π: ω = 2πf. Hence, 1 Hz ≈ 6.28 rad/sec.

Propogation constant-
It is the spatial equivalent of angular frequency and expresses the increase in the cycle of the wave (measured in radians) per unit of distance. In nondispersivemedia, the wavespeed is the ratio of the angular frequency to the propagation constant.