# What is phase velocity and group velocity in waveguide?

## What is phase velocity and group velocity in waveguide?

Phase velocity: Phase velocity is defined as the rate at which the wave changes its phase in terms of the guide wavelength. The group velocity is also can be defined as the velocity of energy flow in the waveguide system. Cut-off frequency: It is the frequency of the signal above which propagation of waves occur.

Why are group and phase velocity not the same in waveguide?

First, because fmn takes on different values for different modes, group velocity is different for different modes. Specifically, higher-order modes propagate more slowly than lower-order modes having the same frequency.

What is the relation between VG and VP?

Generally, ω(k) is called the dispersion relation and indicates the dispersion properties of a medium. As this formula predicts, if the phase velocity does not depend on the wavelength of the propogating wave, then vg = vp.

### What is the difference between phase velocity and group velocity in waveguide?

Waves can be in the group and such groups are called wave packets, so the velocity with a wave packet travels is called group velocity. The velocity with which the phase of a wave travels is called phase velocity. The relation between group velocity and phase velocity are proportionate.

What is the difference between phase and group velocity?

The Phase velocity refers to the velocity of a monochromatic wave. Group velocity is the velocity with which the entire group of waves would travel.

What is the symbol for group velocity in waveguide?

Group velocity is denoted by the symbol Vg. Group velocity is less than velocity of electromagnetic waves in free space. It is the velocity which the electromagnetic waves changes it phase in the waveguide during propagation. Its symbol is Vph.

#### Is the group velocity and phase velocity the same?

Group velocity and phase velocity of the electromagnetic waves is the same in free space. It is the frequency which cannot be propagated through the waveguide. Its symbol is fc.

Which is the phase velocity of a wave?

Phase Velocity. It is the velocity which the electromagnetic waves changes it phase in the waveguide during propagation. Its symbol is Vph. Group velocity and phase velocity of the electromagnetic waves is the same in free space.

How is group delay related to group velocity?

Group delay is the length of a circuit or transmission line, divided by its group velocity. Although we aren’t smart enough to bore you with the details of how this is derived (order a copy of Pozar from our book page ), group velocity is slowed by the inverse of the factor that phase velocity is increased.