Electric Dyadic Green's Functions for Modeling Resonance and Coupling Effects in Waveguide-Based Aperture-Coupled Patch Arrays

Authors

  • Alexander B. Yakovlev Department of Electrical Engineering, The University of Mississippi, University, MS 38677-1848
  • Sean Ortizq Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC 27695-7914
  • Mete Ozkar Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC 27695-7914
  • Amir Mortazawi Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109
  • Michael B. Steer Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC 27695-7914

Keywords:

Electric Dyadic Green's Functions for Modeling Resonance and Coupling Effects in Waveguide-Based Aperture-Coupled Patch Arrays

Abstract

An efficient technique for the rapid development of electric Green's dyadics of a transversely layered, terminated rectangular waveguide is presented with application to waveguide-based aperture-coupled patch arrays. This technique uses a partial eigenfunction expansion resulting in a Sturm-Liouville problem for one-dimensional characteristic Green's functions in the waveguiding direction. In this representation, the one-dimensional characteristic Green's functions provide physical insight into resonance and surface wave effects occurring in overmoded layered waveguide transitions. Particularly, this is related to the correlation between transverse resonances in the waveguide cross-section and surface waves associated with a grounded dielectric slab waveguide. This is demonstrated for the examples of aperture-coupled patch arrays in the N-port waveguide transition, although the analysis is applicable to other waveguide-based antenna structures, which allow for the propagation of surface waves.

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References

A. B. Yakovlev, A. I. Khalil, C. W. Hicks, A. Mortazawi,

and M. B. Steer, “The generalized scattering matrix of

closely spaced strip and slot layers in waveguide,” IEEE

Trans. Microwave Theory Tech., Vol. 48, pp. 126–137, Jan.

A. B. Yakovlev, S. Ortiz, M. Ozkar, A. Mortazawi, and

M. B. Steer, “A Waveguide-based aperture-coupled patch

amplifier array — Full-wave system analysis and experi-

mental validation,” IEEE Trans. Microwave Theory Tech.,

Vol. 48, pp. 2692–2699, Dec. 2000.

P. M. Morse and H. Feshbach, Methods of Theoretical

Physics. McGraw-Hill, New York, 1953.

C.-T. Tai, Dyadic Green Functions in Electromagnetic

Theory. IEEE Press, New Jersey, 1993.

R. E. Collin, Field Theory of Guided Waves. IEEE Press,

New Jersey, 1991.

L. W. Li, P.-S. Kooi, M.-S. Leong, T.-S. Yeo, and S.-L. Ho,

“On the eigenfunction expansion of electromagnetic dyadic

Green’s functions in rectangular cavities and waveguides,”

IEEE Trans. Microwave Theory Tech., Vol. 43, No. 3,

pp. 700–702, 1995.

C.-T. Tai and P. Rozenfeld, “Different representations of

dyadic Green’s functions for a rectangular cavity,” IEEE

Trans. Microwave Theory Tech., Vol. 24, No. 9, pp. 597–

, 1976.

P. H. Pathak, “On the eigenfunction expansion of electro-

magnetic dyadic Green’s functions,” IEEE Trans. Anten-

nas Propagation, Vol. 31, No. 6, pp. 837–846, Nov. 1983.

L. W. Li, P.-S. Kooi, M.-S. Leong, and T.-S. Yeo, “Full-

wave analysis of antenna radiation in a rectangular waveg-

uide with discontinuity: Part I – Dyadic Green’s function,”

Proc. of ICCS Conf., Singapore, Vol. 2, pp. 459–463, 1994.

ACES JOURNAL, VOL. 17, NO. 2, JULY 2002132

H. Jin, W. Lin, and Y. Lin, “Dyadic Green’s functions for

rectangular waveguide filled with longitudinally multilay-

ered isotropic dielectric and their application,” IEE Proc.-

Microwave Antennas Propagat., Vol. 141, No. 6, pp. 504–

, 1994.

L. W. Li, P.-S. Kooi, M.-S. Leong, T.-S. Yeo, and S.-L. Ho,

“Input impedance of a probe-excited semi-infinite rectan-

gular waveguide with arbitrary multilayered loads: Part I –

Dyadic Green’s functions,” IEEE Trans. Microwave The-

ory Tech., Vol. 43, No. 7, pp. 1559–1566, 1995.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering

of Waves. IEEE Press, New Jersey, 1994.

F. E. Borgnis and C. H. Papas, Electromagnetic Waveg-

uides and Resonators. Handbuch Der Physik, XVI.

Springer-Verlag, Berlin, 1958.

J. Schwinger and D. S. Saxon, Discontinuities in Waveg-

uides. Gordon and Breach Science Publishers, New York,

Y. Rahmat-Samii, “On the question of computation of the

dyadic Green’s function at the source region in waveg-

uides and cavities,” IEEE Trans. Microwave Theory Tech.,

Vol. 23, No. 9, pp. 762–765, 1975.

I. G. Prokhoda, S. G. Dmitryuk, and V. M. Morozov,

Tensor Green’s Functions with Applications in Microwave

Electrodynamics. Dniepropetrovsk: Dniepropetrovsk State

University, Ukraine, 1985 (In Russian).

S. G. Dmitryuk and I. V. Petrusenko, “The numerical

analytical method of solving three-dimensional diffraction

problems in the complex geometry domain,” Mathemati-

cal Methods in EM Theory Int. Conf., Kharkov, Ukraine,

pp. 75–78, 1994.

I. V. Petrusenko and S. G. Dmitryuk, “The method of

partial overlapping regions for analysis the waveguide dis-

continuity and antenna problems,” URSI EM Theory Int.

Symp., St.-Petersburg, Russia, pp. 52–54, 1995.

A. B. Gnilenko, A. B. Yakovlev, and I. V. Petrusenko,

“Generalised approach to modelling shielded printed-

circuit transmission lines,” IEE Proc.-Microwave Antennas

Propagat., Vol. 144, No. 2, pp. 103–110, 1997.

A. B. Gnilenko and A. B. Yakovlev, “Electric dyadic Green

functions for applications to shielded multilayered trans-

mission line problems,” IEE Proc.-Microwave Antennas

Propagat., Vol. 146, No. 2, pp. 111–118, 1999.

A. B. Yakovlev, S. Ortiz, M. Ozkar, A. Mortazawi, and

M. B. Steer, “Electromagnetic modeling and experimen-

tal verification of a complete waveguide-based aperture-

coupled patch amplifier array,” IEEE Int. Microwave

Symp. Dig., pp. 801–804, June 2000.

A. I. Nosich, “Radiation conditions, limiting absorption

principle, and general relations in open waveguide scatter-

ing,” J. Electromagn. Waves Applications, Vol. 8, No. 3,

pp. 329–353, 1994.

S. Ortiz, M. Ozkar, A.B. Yakovlev, M.B. Steer, and A. Mor-

tazawi, “Fault tolerance analysis and measurement of a

spatial power amplifier,” IEEE Int. Microwave Symp. Dig.,

pp. 1827–1830, May 2001.

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Published

2022-07-09

How to Cite

[1]
A. B. . Yakovlev, S. . Ortizq, M. . Ozkar, A. . Mortazawi, and M. B. . Steer, “Electric Dyadic Green’s Functions for Modeling Resonance and Coupling Effects in Waveguide-Based Aperture-Coupled Patch Arrays”, ACES Journal, vol. 17, no. 2, pp. 123–133, Jul. 2022.

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