Antenna efficiency calculations


I have some planar antennas on a IC substrate and would like to look at the radiated power broadside vs that which is sent into the substrate and radiates out the back. I tried using two infinite sphere radiation boundaries - one covering the upper hemisphere, and one covering the lower hemisphere. (My antenna feed is at 0,0,0 and suspened on a substrate that extends in the -z direction).

The first hemisphere extends from phi:-180 to 180, theta:0 to 90

The second hemisphere extends from phi:-180 to 180, theta:90 to 180

I have a PML boundary around the entire antenna.

I get exactly the same values of all the antenna parameters (except front to back ratio) for both cases. Could someone please explain where I am going wrong?


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