The Helmholtz equation can be solved for all these cases.

The Helmholtz equation tells us the frequencies if we know the shape.

Plane waves are solutions to the homogeneous Helmholtz equation, and form a basis to represent fields in the periodic media.

Other solutions to the paraxial form of the Helmholtz equation exist.

This is traditionally done using the Helmholtz equation.

However, the Helmholtz equation is not separable in bispherical coordinates.

He became interested in electromagnetism and the Helmholtz equation is named for him.

This is known as the Helmholtz equation.

Now we can solve Helmholtz equation in the frequency domain:

Since the solution is for the time-harmonic Helmholtz equation, we only need to calculate it over one time period.