Answer Happy

Assume the ground plane of a single patch antenna is on the x-y plane. The patch antenna is a copper square with side L. The dielectric has a dielectric constant er and thickness h. The radiation pattern of this patch antenna of side is approximately given by F(8,0) = sinca kl sin @ sin g) cos? (kt sin cosp) (cos? 9 + cos²0 sin? q) for o sesand 0 5 4 5 21. Here k = 2nfo/c where f, is the resonant frequency for the patch antenna: fo ZIVE Patch antennas are notoriously narrowband. This means that their bandwidth is a small percentage of the resonant frequency. Typically the bandwidth is BW = 0.03f INSTRUCTIONS Consider the case where L = 5 cm and er = 1.5. 1. Calculate the resonant frequency of the patch antenna. Using the data from a simulations: 2. Estimate the sidelobe level on each principal plane. 3. Estimate the half-power beamwidth on each principal plane. 4. Estimate the value of the beam solid angle using Kraus' approximation 8A 3dBº3dB 5. Calculate the directivity of the patch antenna D = ΩΑ 471 6. Fill out the following table: Value Parameter X-z plane HPBW (degrees) y-z plane HPBW (degrees) X-z plane SLL (dB) y-z plane SLL (dB) Beam solid angle (steradians) Directivity (dB) Resonant frequency (MHz)