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where w is the angular frequency, C is the current density in the probe feed, d is the width of C, f i is the magnetic permeability of the free space, k is the wave number in the substrate, k,,,, is the reasonant wave number of each TM,, mode, sinc (x) = sin(x)/x and cr= 1 if 7 = 0 and tr= 2 if r f 0. This expression is the key to model other antenna characteristics,

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This work presents a performance analysis of probe-fed circularly-polarized moderately-thick microstrip patch antennas. Five typical geometries are designed according to the null reactance condition. A nonlinear regression, based on HFSS simulations, is implemented in order to identify the most robust geometry, regarding the manufacturing process. The analysis focus is on broadside axial ratio degradation and frequency deviation parameters. Experimental results validate the proposed approach and the nonlinear regression calculations.