1. Mar 5, 2005

Demidov

Hello All!
My question is about the interference if the waves.

For example, I have SEVERAL solutions of the wave equation in some area (several eigenvalues and corresponding eigenfunctions). I want to see if the would be an interference between these solutions.

What should I do?

I see the 2 ways:

1) use analytic sum of this functions.
by this I mean to calculate the interference of the two plain waves of different amlitudes and wavelength. How can I do this?

2) sum directly two my solutions.
BUT a question arises: can I suppose that the difference in phase between my two solutions of the wave equation is what I need?
Can I state that the phase difference between the 2 eigenmodes of the equation is the real phase difference between these two field distributions?

2. Mar 6, 2005

Gonzolo

Seems to me you have to add all your solutions to get the unique, general solution. Adding them inherently means they interfere. Not sure I see any difference between your 1) and 2). The phase should be determined by boundary conditions.