Hello,

Here are some pages of the EDUCYPEDIA with RF related software links:
RF Antenna design
RF software

Bertus

 

I wonder if there is any tools that can simulate the propagation of signal to see the patterns how the antenna emit and receive rf signal...

There is an open source program called EZNEC. You enter the geometry of the antenna and it will show the radiation patterns.

https://www.eznec.com/

 

nsaspook has a lot of stuff on that too. Maybe some simulators. And I believe there is some ex-military hip on the subject also on this site.

It's hard to study and understand because it's an interval and area of transformation.