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Maybe this post should go under partial differential equations but I'm not sure...

I have the following problem and I would like to know if someone could give me some hints or something to read related to this.

I'm studying multiple reflections of acoustics waves in a circular room and I'm trying to find the modes of this system. I know (but still have to fully understand how and why) that the solution of this problem is given by the Bessel functions.

I would like to be able to plot these functions in Matlab or actually have a plot of the modes pattern in the room .

Any ideas of how I could do this ? Any help would be very much appreciated!

Thanks a lot in advance !

Erwin