Simulating forward electromagnetic scattering for a dielectric

[Amartansh]

I want to simulate 2D TM scattered fields (microwave range) for austria profile. Austria profile has 2 circles beside each other of certain dielectric and one ring below the circles. So basically I have three dielectric objects in the domain of interest and also positions of Tx and Rx are known. I want to simulate scattered fiels for this problem.
Can anyone suggest a reading material for same? I have seen books like Balanis but they just formulate problems for one cylinder/circle.

 

[marcusl]

It is best with any complex geometry to use a commercial code like HFSS, FEKO or COMSOL.