I am studying about Transverse Modes formations in optical waveguides.
I got an impressions that this is a constuctive interference phenomenon. while waves that have phase difference 2pi*m; for m = 0,1,2,... will have constructive interference and forming modes, other waves that does not fulfill that phase "rule" will interfere each other destructively.
is it a correct understanding?
EDIT: at certain incoming angles $\theta$, constructive interferences happen in the waveguide. this what we call as modes. while at other angle, the interference is destructive.
I also got an impressions that there are two ways of explaining it, one from solving the Maxwell Eqs, the other one is by using that phase different rule.
is my conclusion correct that there two ways to explaining it?