Prof. David R. Jackson ECE Dept.

ECE 6341 Spring 2014 Prof. David R. Jackson ECE Dept. Notes 42

Patch Antenna Example Find Dominant (1,0) mode:

Patch Antenna (cont.) Recall that In this problem

Patch Antenna (cont.)

Microstrip Line (cont.)

Patch Antenna (cont.) At z = 0: Hence

Patch Antenna (cont.) Note: Hence, we have

Patch Antenna (cont.) Taking the inverse Fourier transform, we have

Example: Vertical Field Find Ez(x,y,z) inside the substrate for the same patch antenna (-h < z < 0).

Example (cont.)

Example (cont.) cancels Hence or or

Example (cont.) or Hence The result is then

Example (cont.) Hence, in the space domain we have Note: Only TMzwaves contribute to the vertical electric field. On the next page we start calculating the term

Example (cont.) We next calculate the function

Example (cont.) Because of the short circuit, At z = 0: Therefore Hence

Example (cont.) Hence or or

Example (cont.) Hence where

Prof. David R. Jackson ECE Dept.