I am solving the wave-equation (more specifically Helmholtz Eq.) in cylindrical coordinates.(adsbygoogle = window.adsbygoogle || []).push({});

I've seperated the equation into 3 ODE's.

- The radial differential equation

- The phase differential equation

- The z differential equation (direction of which the EM wave propagates)

My issue is the solution to the phase's differential equation. It has the simple solution:

[tex] Ae^{im\phi}+c.c. [/tex] (easy to prove).

Why is 'm' an integer?

Are the phases 'quantised'?

I've read in many books that m must be an integer to allow continuity at [tex] 2\pi [/tex], but thats as far as they go...I'm very confused...

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# Homework Help: Circular waveguide wave-equation

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