# SPECTRAL DOMAIN INTEGRAL EQUATION APPROACH OF AN EQUILATERAL TRIANGULAR MICROSTRIP ANTENNA USING THE MOMENT METHOD

## Keywords:

jmoe## Abstract

An accurate integral equation approach of an equilateral triangular microstrip antenna using the moment method (MoM) in the spectral domain is presented. The excitation of the antenna is achieved by means of a linearly Epolarised plane wave with normal incidence. The exact Green's function of the grounded dielectric slab is used to derive an electric field integral equation (EFIE) for the unknown induced current distribution upon the antenna. Thus, surface waves as well as space-wave radiation are included in the formulation. The current distribution is expanded in terms of a number of overcoming triangles according to the excitation direction and a number of flat pulses according to the orthogonal direction in order to model accurately the antenna's edges current singularities and to improve the convergence. The unknown current distribution expansion coefficients are determined by numerically solving the matrix equation, of finite order, obtained from the application of the moment method in the spectral domain to the electric field integral equation. The current distribution behaviour is then used to compute some of the principals radiation, characteristics of the antenna. Numerical results concerning the resonant frequency, the bandwidth and the far field radiation patterns in the E and H planes are presented and discrepancies with experimental data (resonant frequency) reported in the literature and numerical results available from the coaxial feed cavity model (dominant mode) are noted.

## References

Mosig (J. R.) and Gardiol (F. E.) General integral equation formulation for microstrip antennas and scatteres IEEE Proc. Par H., 132 (7), pp. 424-432, 1985.

Alexopoulos (N. G.), Uzunoghn (N. K.) AND Ranaz (I.) Radiation by microstrip patches, IEEE Ap-S. Int. Symp. Digest., pp. 130-133, 1979.

Mosig (J. R.) and Gardiol (F. E.) The near field of open microstrip structure IEEE Ap-S. Int. Symp. Digest., pp. 379-381, 1979.

Weng (A.) and Qinghuo (R.) Resonance frequency of rectangular microstrip patches antennas, IEEE Trans. on Antennas and Propagat., Vol. 36, No. 8, pp. 1046-1056, Aug. 1988.

Kumprasert (N.) and Kiranon (W.) Simple and accurate formula for the resonant frequency of the circular microstrip disk antenna, IEEE Trans. on Antennas and Propagat., Vol. 43, No. 11, pp. 1331-1335, Nov. 1995.

Alhargan (F. A.) and Judah (S.) A general mode theory for the elliptic disk microstrip antenna, IEEE Trans. on Antennas and Propagat., Vol. 43, No. 6, pp. 560-568,1995.

Mongia (R. K.) and Ittipiboon (A.) Theory and experimental investigations on rectangular dielectric resonator antennas, IEEE Trans. on Antennas and Propagat., Vol. 45, No. 9, pp. 1348-1356, Sep. 1995.

Papapolymerou (I.), Franklin (R.) and Katehi (L.P.B.) Micromachined Patch Antennas, IEEE Trans. on Antennas and Propagat., Vol. 46, No. 2, pp.275-283, Feb. 1998.

Helszajn (J.) and James (D.S.) Planar triangular resonators with magnetic walls, IEEE Trans. Microwave theory Tech., Vol MTT-26., No. 2, pp. 532-535, 1978.

Bahl (I. J.) and Bartia (P.) Microstrip antennas Ed, Artech House, Dedham (MA) pp. 138- 156, 1980.

Lee (K. F.), Luk (K. M.) and Dahele (J. S.) Characteristics of the equilateral triangular patch antenna, IEEE Trans., Antenna Propagat., Vol. 36, No. 11, pp. 1510-1518, Nov. 1988.

Keuster (E. F.) and Chang (D.C.) A geometrical theory for the resonant frequencies and Q factors for some triangular patch antenna, IEEE trans. on Antennas and Propagat., Vol. AP- 31, No.1, pp. 27-34, 1983.

Bailley (M. C.) and Deshpande (M. D.) Integral equation formulation of microstrip antennas, IEEE Trans. on Antennas and Propagat., Vol. Ap. 30, No. 4, pp. 565-569, July 1982.

Nachit (A.), Foshi (J.) and Touimer (S.) Caractérisation des antennes microruban par une méthode intégrale dans le domaine spectral, Pro. inter. AMSE., Vol. 2, pp.685-695, Oct. 1995.

Dahele (J. S.) and Lee (K. F.) Experimental study of the triangular microstrip antenna, IEEE AP/S Int. Symp. Dig., pp. 283-286, 1984.

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*Journal of Microwaves, Optoelectronics and Electromagnetic Applications (JMOe)*,

*2*(1), 1-13. Retrieved from http://www.jmoe.org/index.php/jmoe/article/view/46