]
Wow! You have all reason to be excited. This is great!
A physicist by trade myself who has spent to many hours with Schroedingers equation and Quantum what not, I am glad to see that those things are actually useful for something 
(not working in that field anymore).
I would be really interested to see some math background. Not every detail, but just what you used and how you did the wave coupling. Also how you solve it iteratively.
[/QUOTE]
I’m really glad you think so! The quantum what-not has been very helpful for doing this, much to my surprise too
I can not take credit for the theory-background of this! All the theory crafting comes from a theory called Wave Particles - my model here is an implementation of that theory. I had to tweak and work on it a lot but still it is based off on that. Math-wise, the idea is quite simple: you define particles and assign them local deviation functions. Since the superposition of all these particles will correspond to a wavefront, each individual local deviation function is not required to satisfy the wave equation for as long as the sum of all the deviations satisfy your starting wave equation as a collection. Take a look at the link and I’ll clarify if you have any further questions
Now that I think, I should probably add where the theory comes from to the main post. I’ll do that right away!