Radiation and resonant frequency of a resistive patch and uniaxial anisotropic substrate with entire domain and roof top functions

This paper develops and describes briefly the spectral domain analysis of microstrip patch antennas in which two sets of basis functions are used to model the patch current: the entire domain sinusoid basis functions and roof-top sub-domain basis functions. The moment method technique based on Galerkin's procedure is developed to examine the resonant frequency of a perfectly or an imperfectly conducting microstrip rectangular patch, which is printed on isotropic or uniaxial anisotropic substrate. It is seen that the results obtained by the roof top basis functions provides a significant improvement in the computations time with less iterations in the evaluation of the resonant frequency of a microstrip patch compared with the entire domain basis functions. Numerical results for the effects of surface resistance and uniaxial substrate on the radiation and the directivity of the rectangular microstrip structure are also presented. The accuracy of the computed technique is presented and compared with other computed results.