# Difference between Material dispersion and waveguide dispersion?

## Main Question or Discussion Point

Can someone please explain the difference between Material dispersion and waveguide dispersion?

Related Classical Physics News on Phys.org
Meir Achuz
Homework Helper
Gold Member

"Dispersion" is determined by the relation between wave number
$$k(=2\pi/\lambda)$$ and frequency $$\omega(=2\pi f)$$.
In a medium, the relation is $$k=\sqrt{\epsilon\mu}\omega/c$$.
In a wave guide, it is $$k=[\sqrt{\epsilon\mu}/c]\sqrt{\omega^2-\omega^2_c}$$,
where $$\omega_c$$ depends on the dimensions of the wave guide.

Last edited: