Title :
Simple formulas for the resonant frequencies of microstrip patches
Author :
Liu, Q. ; Chew, W.C.
Author_Institution :
Illinois Univ., Urbana, IL, USA
Abstract :
A study is made of the resonant frequencies of rectangular and circular microstrip patches to develop their design formulas. The resonant frequency problem of rectangular microstrip patches is formulated using vector Hankel transforms. Both formulations result in integral equations for which Galerkin´s method is used to ascertain the resonant frequencies. The results agree with experiments and asymptotically agree with the perturbation approach. Based on these solutions, the design formulas for the microstrip patches are developed using least-square fits.<>
Keywords :
antenna theory; circular waveguides; integral equations; least squares approximations; microstrip antennas; rectangular waveguides; Galerkin´s method; circular microstrip patches; integral equations; least-square fits; perturbation approach; rectangular microstrip patches; resonant frequencies; vector Hankel transforms; Fourier transforms; Green´s function methods; Integral equations; Least squares methods; Microstrip; Moment methods; Polynomials; Resonance; Resonant frequency; Tellurium;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1988. AP-S. Digest
Conference_Location :
Syracuse, NY, USA
DOI :
10.1109/APS.1988.93977