Analytical Model for Regular Dense Arrays of Planar Dipole Scatterers

doi:10.2528/PIER02091601

PIER
Progress In Electromagnetics Research	ISSN: 1070-4698, E-ISSN: 1559-8985

Home > Vol. 38 > pp. 97-110

ANALYTICAL MODEL FOR REGULAR DENSE ARRAYS OF PLANAR DIPOLE SCATTERERS

By A. J. Viitanen, I. Hänninen, and S. A. Tretyakov

Full Article PDF (562 KB)
Abstract:
An analytical boundary condition for modeling the electromagnetic properties of planar regular dense arrays of dipole particles for oblique incidence of plane waves is developed.The regular array is assumed to be dense which means that the dipole particles are close to each other.The interaction between the dipole particles is taken into account by interaction constant.The expression for the interaction constant is written in analytical form and is used for developing a transmission-line model for arrays of planar dipole scatterers.The regular dense array is modeled as a shunt impedance which is different for TM and TE polarizations.

Citation: (See works that cites this article)
A. J. Viitanen, I. Hänninen, and S. A. Tretyakov, "Analytical Model for Regular Dense Arrays of Planar Dipole Scatterers," Progress In Electromagnetics Research, Vol. 38, 97-110, 2002.
doi:10.2528/PIER02091601
http://www.jpier.org/PIER/pier.php?paper=0209161

References:
1. Senior, T. B. and J. L. Volakis, Approximate Boundary Conditions in Electromagnetics, IEE Electromagnetic Waves Series, Vol. 41, 1995.
doi:10.1049/PBEW041E

2. Hoppe, D. J. and Y. Rahmat-Samii, Impedance Boundary Conditions in Electromagnetics, Taylor and Francis, 1995.
doi:10.1201/9781315215365

3. Ott, R. H., R. G. Kouyoumjian, and L. Peters, "Scattering by a two-dimensional periodic array of narrow plates," Radio Science, Vol. 2, No. 11, 1347-1359, 1967.
doi:10.1002/rds19672111347

4. Munk, B. A., R .G. Kouyoumjian, and L. Peters, "Reflection properties of periodic surfaces of loaded dipoles," IEEE Trans. Antennas Propag., Vol. 19, No. 5, 612-617, 1971.
doi:10.1109/TAP.1971.1139995

5. Gross, F. B., "Reflection from an array of conducting plates using classic edge-mode current densities," IEEE Trans. Antennas Propagat., Vol. 43, 1333-1335, November 1995.

6. Maslovski, S. I., "Full-wave interaction field in two-dimensional arrays of dipole scatterers," Int. J. Electron. Commun. (AEU), Vol. 53, No. 3, 135-139, 1999.

7. Collin, R. E., Field Theory of Guided Waves, IEEE Press, N.Y., 1991.

8. Tretyakov, S. A. and A. J. Viitanen, "Electromagnetic properties of periodical arrays with small nonreciprocal inclusions," Journal of Electromagn. Waves Applic., Vol. 14, 1159-1177, 2000.
doi:10.1163/156939300X01094

9. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, 486-487, Dover Publications, Inc., New York, 1972.

10. Yatsenko, V. V., "Diffraction of electromagnetic waves by complex mesh structures and grids of scatterers,", Ph.D. Thesis, St.P etersburg State Technical University, Russian, 2000.