Simple formulas for the resonant frequencies of microstrip patches

Liu, Q.; Chew, Weng Cho

doi:10.1109/aps.1988.93977

1988 IEEE AP-S. International Symposium, Antennas and Propagation

DOI: 10.1109/aps.1988.93977

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Simple formulas for the resonant frequencies of microstrip patches

Q. Liu

Weng Cho Chew

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Characteristics of circular patch on thick substrate and superstrate

Bhattacharyya

1991

IEEE Trans. Antennas Propagat.

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Accurate formulation for the wall admittance of a circular patch on a thick substrate/superstrate is presented. The principle of equivalence is invoked at the physical aperture of the patch, which yields equivalent electric and magnetic surface currents for the outside fields. The unknown electric current, in terns of the aperture electric field, is obtained from the field continuity condition on the aperture surface. electric and magnetic fields are known. Since there is no tangential electric field on the patch surface, the magnetic surface current will not exist on the patch surface. Some electric current, however, will flow on the top surface which is basically induced by the fringing fields from the physical aperture. The amount of current on the top surface presumably is small compared to the equivalent currents on the aperture, and therefore, the effect of electric current on the external surface of the patch will be neglected in our analysis. Moreover, due to the negative image effect of this current, the contribution to the external field will be insignificant. Numerical results reveal that for a small substrate thickness, the equivalent electric current may be ignored. However, it should be included in the analysis for larger substrate thicknesses. Numerical results for the wall conductance, wall susceptance, and the radiation efficiency of a k t za and ,$Ha be the tangential electric and magnetic fields magnetic and surOn the ape*re surface' The face currents are f91 patch with various substrates and superstrates are presented.

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Characteristics of circular patch on thick substrate and superstrate

Bhattacharyya

1991

IEEE Trans. Antennas Propagat.

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Simple formulas for the resonant frequencies of microstrip patches

Cited by 1 publication

References 3 publications

Characteristics of circular patch on thick substrate and superstrate

Characteristics of circular patch on thick substrate and superstrate

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