Hi
As we have a transmission matrix, how is it possible to simulate the physical properties of a scattering tissue like absorption and scattering coefficient in our simulation ? The end product should be the transmission matrix. But how can we do that ?
I mean to ask suppose we have a tissue with certai thickness and certain scattering and absorption coefficient. How do we incorporate these to formulate a transmission matrix?

thanks
Vijay

Hi Vijay.

There is no quick solution to your problem. It is not that easy to get a transmission matrix of a medium with given physical properties.

Most likely, you will have to perform simulations, for instance using Comsol, or using other types of approaches, such as the Recursive Green's Function method.

Without simulations, you can dwell into random matrix theory, and manually tweak the properties of your matrix to match some physical properties. (see https://arxiv.org/abs/cond-mat/9612179 for instance).
The first order is to simply take a complex random matrix and match the total transmission (normalize the matrix) with the one you expect from a medium with given properties. But you will miss all the correlation effects.

Again, there is not short answer, the fastest solution is probably to perform simulations with an existing software such as Comsol.

Sebastien