Since you have access to Prof. Balanis's excellent book, why not study the chapter on arrays? You patch antenna are actually two element arrays, btw...
Read the material again, carefully, please. The dipole is an element. The patch is an element. You may use the theorem of superposition for linear systems...
thank you ,but i have question when i design a patch antenna at a specific frequency , h and Er ,when i need to have a better performance with the same parameters by using array is the dimensions of the single patch changed?
thank you ,but i have question when i design a patch antenna at a specific frequency , h and Er ,when i need to have a better performance with the same parameters by using array is the dimensions of the single patch changed?
Maybe a little bit (the length more than the width, assuming linear polarization) because it is so hard to keep their mutual impedance at 'zero'. Their input impedances will also change, if only a bit.
Also, the array spacing might need to be adjusted from calculated values to get the thing to work like you want. Simulate, simulate!