I would like to ask if anyone can suggest me a good tutorial about Scattering and transmission matrices for lasers. I am really struggling with some issues and the majority of the literature analyses them from the microwave perspective. To be honest I find it very difficult to understand even the very basics, like how do we derive the transmission and reflection coefficients and where do all these things find application.
Apparently, these matrices are difficult to measure in the optical domain, that's why there is not much information on them, especially very little easy-to-understand references. However I have found one paper, which is short and very practical and therefore easy to read: Measuring the Transmission Matrix in Optics: An Approach to the Study and Control of Light Propagation in Disordered Media, PRL 104, 100601 (2010).
UPDATE: And a nice, though a bit longer, paper on scattering matrices in lasers: Scattering matrix analysis of a triangular ring laser, JLT 12, 202 (1994).
The following is apparently the first use of the scattering matrix for lasers: Studies of semiconductor lasers of the interferometric and ring types, IEEE JQE 18, 610 (1982).