CST strange radiatin pattern problem

Dear all,

I am designing a simple slot antenna (just a rectangular cut in the ground plane) at 75GHz on a thick Si substrate . The slot has a length of 740um and a width of 22um as shown in next figure


for a small ground plane (1500 x 1500 um), the radiation pattern is perfect. It resembles that of a dipole but radiates strongly in the substrate side, as shown


However, when I increase the size of the ground plane and the substrate to 3000 x 3000 um, the radiation pattern becomes worse, as shown


The pattern keeps becoming worse when I increase the dimension of the ground plane and the substrate. Shown is the pattern for 5000 x 5000 um substrate



For 7000 x 7000 um, it is even worse:


And when I increase the thickness of the substrate to 4000 um to make it as if it is infinite, I get the following beam shape



S and Z parameters are the same for all cases.

I don't think it is a meshing problem because I mesh the critical regions very well. I also used Adaptive meshing and increased the simulation upper frequency but no use.


Having a large ground plane is important because finally I will design an array out of this slot.

Regards

Check if accuracy level is set -40db, sometimes is better to use -60db for antenna (Time domain solver). Is it broadband farfield or specific frequency?