With regard to the interference pattern, you might be able to define functions
to use as patterns in 3D space.
I'm thinking that if you define them with sinusoidal functions, the waves ought
to produce an interference pattern.
I did something like this in 2D.
What you want to do is certainly more challenging.
Have a look at:
Also, Bill Pokorny plays around with some complicated projects - he might chime
in with something useful, and clipka might have some thoughts on addressing this
Just a few quick ideas.
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