Asymptotic Approach for Rectangular Microstrip Patch antenna With Magnetic Anisotropy and Chiral Substrate
The effect of a chiral bianisotropic substrate on the
complex resonant frequency of a rectangular microstrip resonator has
been studied on the basis of the integral equation formulation. The
analysis is based on numerical resolution of the integral equation
using Galerkin procedure for moment method in the spectral domain.
This work aim first to study the effect of the chirality of a
bianisotopic substrate upon the resonant frequency and the half
power bandwidth, second the effect of a magnetic anisotropy via an
asymptotic approach for very weak substrate upon the resonant
frequency and the half power bandwidth has been investigated. The
obtained results are compared with previously published work [11-9],
they were in good agreement.
[1] Constantine A. Balanis, "Antenna Theory: Analysis and Design", 2iéme
Edition, pp. 722-783, John Wiley & Sons, Inc., New York, 1997.
[2] G. A. Deschamps, "Microstrip Microwave Antennas",present to the third
Symposium over the resonators, 1953.
[3] W. F. Richards, Y. T. Lo et D. D. Harrison, "An Improved Theory of
Microstrip Antennas with Applications", IEEE Trans. Antennas
Propagat., Vol. AP-29, No. 1, pp. 38-46, Jan. 1981.
[4] D. H. Schaubert, F. G. Farrar, A. Sindoris, and S. T. Hayes, "Microstrip
Antennas with Frequency Agility and Polarisation Diversity", IEEE
Trans. Antennas Propagat., Vol. AP-29, No. 1, pp. 118-123, Jan. 1981.
[5] M. P. Purchine et J. T. Aberle, "A Tunable L-Band Circular Microstrip
Patch Antenna", Microwave Journal, pp. 80, 84, 87 et 88, Oct. 1994.
[6] D. M. Pozar, "Microstrip Antennas ", Proc. IEEE, Vol. 80, No. 1, pp. 79-
81, Jan. 1992.
[7] N. G. Alexopoulos, "Integrated-circuit structures on anisotropic
substrate," IEEE Trans. Microwave Theory Tech.. vol. MTT-33, pp.
847-881, Oct. 1985.
[8] D. M. Pozar, "Radiation and scattering from a microstrip patch on a
uniaxial substrate", IEEE Trans. Antennas Propagar. vol. AP-35, pp.
613-621, June 1987.
[9] Kin-Lu Wong, Jeen-Sheen Row, Chih-Wen Kuo, and Kuang-Chih
Huang "Resonance of a Rectangular Microstrip Patch on a Uniaxial
Substrate". IEEE Trans. Microwave Theory and Techniques, vol. 41, pp.
698-701, April 1993.
[10] W. C. Chew and Q. Liu, ÔÇÿÔÇÿCorrection to ÔÇÿÔÇÿResonance frequency of a
rectangular microstrip patch-- -- IEEE Trans. Antennas Propagat., vol.
36, pp. 1827, Dec. 1988.
[11] F. Bouttout, F. Benabdelaziz, T. Fortaki and D. Khedrouche, ÔÇÿÔÇÿResonant
frequency and bandwidth of a superstrate-loaded rectangular patch on a
uniaxial anisotropic substrate,-- Communications in Numerical Methods
in Engineering (John Wiley & Sons), vol. 16, issue : 7, pp. 459-473, July
2000.
[12] Filiberto Bilotti and Lucio Vegni, "Chiral Cover Effects on Microstrip
Antennas", IEEE Transactions On Antennas And Propagation, vol. 51,
no. 10, October 2003. pp2891.
[13] T. Itoh, ÔÇÿÔÇÿSpectral domain immitance approach for dispersion
characteristics of generalized printed transmission lines,-- IEEE Trans.
Microwave Theory Tech., vol. MTT-28, pp. 733-736, July 1980.
[14] N. K. Das and D. M. Pozar, ÔÇÿÔÇÿA generalized spectral-domain Green-s
function for multilayer dielectric substrates with application to
multilayer transmission lines,-- IEEE Trans. Microwave Theory Tech.,
vol. MTT-35, pp. 326-335, March 1987.
[15] F. L. Mesa, R. Marques, and M. Horno, "A general algorithm for
computing the bidimensional spectral Green-s dyad in multilayered
complex bianisotropic media: The equivalent boundary method", IEEE
Tran. Microwave Theory Tech., vol. 39, pp. 1640-1649, 1991.
[16] P. Bernardi and R. Cicchetti, "Dyadic Green-s function for conductorbacked
layered structures excited by arbitrary tridimensional sources",
IEEE Trans. Microwave Theory Tech., vol. 42, pp. 1474-1483, 1994.
[17] A. Dreher, ÔÇÿ"A new approach to dyadic Green-s function in spectral
domain" IEEE Trans. Antennas Propagat., vol. 43, pp. 1297-1302, Nov.
1995.
[18] K. W. WHITES, CHUNG C. Y., "Composite uniaxial bianisotropic
chiral materials characterization: Comparison of predicted and measured
scattering", Journal of electromagnetic waves and applications, vol. 11,
pp. 371-394, 1997.
[19] G. Busse, J. Reinert, and, A. F. Jacob, "Waveguide Characterization of
Chiral Material: Experiments" IEEE Transactions on Microwave Theory
And Techniques, vol. 47, pp. 297-301, 1999.
[20] V. Dmitriev; "Tables Of The Second Rank Constitutive Tensors For
Linear Homogeneous Media Described By The Point Magnetic Groups
Of Symmetry"; Progress In Electromagnetics Research, PIER 28, 43-95,
2000
[21] D. M. Pozar, ÔÇÿÔÇÿGeneral relations for a phased array of printed antennas
derived from infinite current sheets,-- IEEE Trans. Antennas Propagat.,
vol. AP-33, pp. 498-504, May. 1985.
[22] W. P. Harokopus, L. P. B. Katehi, W. Y. Ali-Ahmed, and G. M. Rebiez,
ÔÇÿÔÇÿSurface wave excitation from open microstrip discontinuities,-- IEEE
Trans. Microwave Theory Tech., vol. 39, pp. 1098-1107, July. 1991.
[1] Constantine A. Balanis, "Antenna Theory: Analysis and Design", 2iéme
Edition, pp. 722-783, John Wiley & Sons, Inc., New York, 1997.
[2] G. A. Deschamps, "Microstrip Microwave Antennas",present to the third
Symposium over the resonators, 1953.
[3] W. F. Richards, Y. T. Lo et D. D. Harrison, "An Improved Theory of
Microstrip Antennas with Applications", IEEE Trans. Antennas
Propagat., Vol. AP-29, No. 1, pp. 38-46, Jan. 1981.
[4] D. H. Schaubert, F. G. Farrar, A. Sindoris, and S. T. Hayes, "Microstrip
Antennas with Frequency Agility and Polarisation Diversity", IEEE
Trans. Antennas Propagat., Vol. AP-29, No. 1, pp. 118-123, Jan. 1981.
[5] M. P. Purchine et J. T. Aberle, "A Tunable L-Band Circular Microstrip
Patch Antenna", Microwave Journal, pp. 80, 84, 87 et 88, Oct. 1994.
[6] D. M. Pozar, "Microstrip Antennas ", Proc. IEEE, Vol. 80, No. 1, pp. 79-
81, Jan. 1992.
[7] N. G. Alexopoulos, "Integrated-circuit structures on anisotropic
substrate," IEEE Trans. Microwave Theory Tech.. vol. MTT-33, pp.
847-881, Oct. 1985.
[8] D. M. Pozar, "Radiation and scattering from a microstrip patch on a
uniaxial substrate", IEEE Trans. Antennas Propagar. vol. AP-35, pp.
613-621, June 1987.
[9] Kin-Lu Wong, Jeen-Sheen Row, Chih-Wen Kuo, and Kuang-Chih
Huang "Resonance of a Rectangular Microstrip Patch on a Uniaxial
Substrate". IEEE Trans. Microwave Theory and Techniques, vol. 41, pp.
698-701, April 1993.
[10] W. C. Chew and Q. Liu, ÔÇÿÔÇÿCorrection to ÔÇÿÔÇÿResonance frequency of a
rectangular microstrip patch-- -- IEEE Trans. Antennas Propagat., vol.
36, pp. 1827, Dec. 1988.
[11] F. Bouttout, F. Benabdelaziz, T. Fortaki and D. Khedrouche, ÔÇÿÔÇÿResonant
frequency and bandwidth of a superstrate-loaded rectangular patch on a
uniaxial anisotropic substrate,-- Communications in Numerical Methods
in Engineering (John Wiley & Sons), vol. 16, issue : 7, pp. 459-473, July
2000.
[12] Filiberto Bilotti and Lucio Vegni, "Chiral Cover Effects on Microstrip
Antennas", IEEE Transactions On Antennas And Propagation, vol. 51,
no. 10, October 2003. pp2891.
[13] T. Itoh, ÔÇÿÔÇÿSpectral domain immitance approach for dispersion
characteristics of generalized printed transmission lines,-- IEEE Trans.
Microwave Theory Tech., vol. MTT-28, pp. 733-736, July 1980.
[14] N. K. Das and D. M. Pozar, ÔÇÿÔÇÿA generalized spectral-domain Green-s
function for multilayer dielectric substrates with application to
multilayer transmission lines,-- IEEE Trans. Microwave Theory Tech.,
vol. MTT-35, pp. 326-335, March 1987.
[15] F. L. Mesa, R. Marques, and M. Horno, "A general algorithm for
computing the bidimensional spectral Green-s dyad in multilayered
complex bianisotropic media: The equivalent boundary method", IEEE
Tran. Microwave Theory Tech., vol. 39, pp. 1640-1649, 1991.
[16] P. Bernardi and R. Cicchetti, "Dyadic Green-s function for conductorbacked
layered structures excited by arbitrary tridimensional sources",
IEEE Trans. Microwave Theory Tech., vol. 42, pp. 1474-1483, 1994.
[17] A. Dreher, ÔÇÿ"A new approach to dyadic Green-s function in spectral
domain" IEEE Trans. Antennas Propagat., vol. 43, pp. 1297-1302, Nov.
1995.
[18] K. W. WHITES, CHUNG C. Y., "Composite uniaxial bianisotropic
chiral materials characterization: Comparison of predicted and measured
scattering", Journal of electromagnetic waves and applications, vol. 11,
pp. 371-394, 1997.
[19] G. Busse, J. Reinert, and, A. F. Jacob, "Waveguide Characterization of
Chiral Material: Experiments" IEEE Transactions on Microwave Theory
And Techniques, vol. 47, pp. 297-301, 1999.
[20] V. Dmitriev; "Tables Of The Second Rank Constitutive Tensors For
Linear Homogeneous Media Described By The Point Magnetic Groups
Of Symmetry"; Progress In Electromagnetics Research, PIER 28, 43-95,
2000
[21] D. M. Pozar, ÔÇÿÔÇÿGeneral relations for a phased array of printed antennas
derived from infinite current sheets,-- IEEE Trans. Antennas Propagat.,
vol. AP-33, pp. 498-504, May. 1985.
[22] W. P. Harokopus, L. P. B. Katehi, W. Y. Ali-Ahmed, and G. M. Rebiez,
ÔÇÿÔÇÿSurface wave excitation from open microstrip discontinuities,-- IEEE
Trans. Microwave Theory Tech., vol. 39, pp. 1098-1107, July. 1991.
@article{"International Journal of Electrical, Electronic and Communication Sciences:51420", author = "Zebiri Chemseddine and Benabdelaziz Fatiha", title = "Asymptotic Approach for Rectangular Microstrip Patch antenna With Magnetic Anisotropy and Chiral Substrate", abstract = "The effect of a chiral bianisotropic substrate on the
complex resonant frequency of a rectangular microstrip resonator has
been studied on the basis of the integral equation formulation. The
analysis is based on numerical resolution of the integral equation
using Galerkin procedure for moment method in the spectral domain.
This work aim first to study the effect of the chirality of a
bianisotopic substrate upon the resonant frequency and the half
power bandwidth, second the effect of a magnetic anisotropy via an
asymptotic approach for very weak substrate upon the resonant
frequency and the half power bandwidth has been investigated. The
obtained results are compared with previously published work [11-9],
they were in good agreement.", keywords = "Microstrip antenna, bianisotropic media, resonant
frequency, moment method.", volume = "2", number = "9", pages = "1776-7", }
