I've been tasked with writing a code (in MatLab, but I'm currently using Mathematica because I don't know MatLab %\ ...) to simulate the propagation of a Gaussian beam. I don't really know anything about optics, so I'm learning on the fly using this manual kindly provided to me by my adviser. I'm stuck trying to figure out what the general closed form of a complex amplitude coefficient a[j,n,m] (p.74 and also below) would look like :( Could someone explain it please?
i have looked through various articles and presentations such as http://www.colorado.edu/physics/phys4510/phys4510_fa05/Chapter5.pdf (and others i can't post links too because of my low reputation) and haven't seen mention of said complex amplitude parameter anywhere else. Lots of complex amplitudes, but not parameters. I don't think they are the same thing, are they?