I am working on a microstrip patch antenna for 1 GHz resonant frequency. I want the antenna to be ideally less than 6 cm for both length and width. Normally, a 1 GHz microstrip antenna would have 14-15 cm sides.
I have tried shorting wall and increasing the dielectric with some success, but meandering, slotting, pins, fractal, etc. seem to be very iterative and I'm not able to land on 1 GHz resonant frequency after I start with the necessary dimensions for the antenna. (can't even make it go below 2.5 GHz resonant frequency).
Hence, I want to know if there is any ideal set of methods to ease the iteration process, or a few rules of thumb from professionals to design this out. If it helps, I'm working this out on HFSS.
Edit: These are important parameters for the microstrip antenna: Ideally, -20 dB Return Loss, Narrowband is okay (1-10 MHz), but it must operate at 1 GHz. Decent positive gain (~2-3 dB far field) is fine. Around 6cm * 6 cm side is the maximum I want it to be.