Microstrip and Printed Antenna Design

There are essentially two methods used to create rectangular circularly polarized microstrip antennas. The first is to feed the patch at a single point and perturb its boundary, or interior so that two orthogonal modes exist at a single frequency which have identical magnitudes and differ in phase by 90 degrees. The second is to directly feed each of two orthogonal modes with a microwave device which provides equal amplitudes and a 90 phase difference (e.g. 90 branchline hybrid). This section addresses the first type of design.
In Figure 2-15 we see four common methods used to create circularly polarized radiation from a rectangular microstrip antenna with a single driving point. The first method (I) is to choose an aspect ratio a/b such that the TM 10 and TM 01 modes both exist at single frequency where their magnitudes are identical and their phases differ by 90 degrees. The two orthogonal modes radiate independently and sum in the far field to produce circular polarization.
The second method presented in Figure 2-15 (II) is...