Hello!

I am trying to model a microwave radiation passing through an inhomogeneous body (human head). To start with something, I try to obtain solution for a simple EM wave propagation through a free space 2D disk. However, there appears to be a trouble already at this stage, as the DSolve does not produce a solution, NDSolve and NDSolveValue complain about insufficient initial conditions (even though they should be set using the DirichletCondition at t==0), consume a lot of memory and do not end cell evaluation when run.

I have prepared a simplified example that captures said problems in the attached notebook. Admittedly, my experience with Mathematica is rather limited, so any help or advice would be appreciated.