volume | PIER Journals

Abstract

An analytic solution to the problem of plane wave scattering by an achiral multilayered sphere in a host chiral medium is obtained in this paper. By applying the radiation-to-scattering transform, the scattering problem can be considered as the specific radiation problems where the radiated source equivalent to the electromagnetic plane wave is located at infinity. The volumetric currents which generate right circular polarization (RCP) and left circular polarization (LCP) plane waves,resp ectively, are found. An integral equation consisting the volumetric current distributions and the dyadic Green's functions is formulated to obtain both the equivalent incident wave fields and the scattered fields. Two-layered lossless and lossy dielectric spheres and a conducting sphere with a dielectric coated layer buried in an infinitely extended host chiral medium are considered and the expressions for the scattered fields in far-zone are found in explicit analytic form. The characteristics of scattered fields are illustrated and discussed in terms of the circular polarization degree and linear polarization degree against different chiral admittances and sizes.

1. Jaggard, D. L., A. R. Mickelson, and C. H. Papas, "On electromagnetic waves in chiral media," Appl. Phys., Vol. 18, 211-216, 1978.
doi:10.1007/BF00934418 Google Scholar

2. Silverman, M. P., "Reflection and refraction at the surface of a chiral medium," J. Opt. Soc. Am. A, Vol. 3, 830-837, 1986.
doi:10.1364/JOSAA.3.000830 Google Scholar

3. Vegni, L., R. Cicchetti, and and P. Capece, "Spectral dyadic Green’s function formulation for planar integrated structures," IEEE Trans. Antennas Propagat., Vol. 36, No. 8, 1057-1065, 1988.
doi:10.1109/8.7217 Google Scholar

4. Engheta, N. and P. Pelet, "Mo des in chirowaveguides," Opt. Lett., Vol. 14, 593-595, 1990. Google Scholar

5. Engheta , N. and M. W. Kowarz, "An tenna radiation in the presence of a chiral sphere," J. Appl. Phys., Vol. 67, No. 2, 639-647, 1990.
doi:10.1063/1.345766 Google Scholar

6. Wei, R., "Dyadic Green’s functions and dipole radiations in layered chiral media," J. Appl. Phys., Vol. 75, No. 1, 30-35, Jan. 1994.
doi:10.1063/1.355850 Google Scholar

7. Ali, S. M., T. M. Habashy, and and J. A. Kong, "Spectral-domain dyadic Green’s function in layered chiral media," J. Opt. Soc. Am. A, Vol. 9, No. 3, 413-423, March 1992.
doi:10.1364/JOSAA.9.000413 Google Scholar

8. Bassiri, S., C. H. Papas, and and N. Engheta, "Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab," J. Opt. Soc. Am. A, Vol. 5, 1450-1459, 1988.
doi:10.1364/JOSAA.5.001450 Google Scholar

9. Lakhtakia, A., V. V. Varadan, and and V. K. Varadan, "Field equations,Huygens’s principle,in tegral equations,and theorems for radiation and scattering of electromagnetic waves in isotropic chiral media," J. Opt. Soc. Am. A, Vol. 5, 175-184, 1988.
doi:10.1364/JOSAA.5.000175 Google Scholar

10. Li, L.-W., P . S. Kooi, M.-S. Leong, and and T.-S. Yeo, "A general expression of dyadic Green’s function in radially multilayered chiral media," IEEE Trans. Antennas Propagat., Vol. 43, No. 3, 232-238, March 1995.
doi:10.1109/8.371991 Google Scholar

11. Li, L.-W., D. You, M.-S. Leong, and and J. A. Kong, "Electromagnetic scattering by an inhomogeneous chiral sphere of nonlinear varying permittivity: A discrete analysis using multilayered model," Progress In Electromagnetics Research, Vol. 23, 1999. Google Scholar

12. Bohren, C. F., "Light scattering by an optically active sphere," Chem. Phys. Lett., Vol. 29, 458-462, 1974.
doi:10.1016/0009-2614(74)85144-4 Google Scholar

13. Lakhtakia, A., V. K. Varadan, and and V. V. Varadan, "Scattering and absorption characteristics of lossy dielectric, chiral non-spherical ," Appl. Opt., Vol. 24, 4146-4154, 1985.
doi:10.1364/AO.24.004146 Google Scholar

14. Rojas, R. G., "In tegral equations for the scattering by a three dimensional inhomogeneous chiral body," J. Electromagn. Waves Applic., Vol. 6, No. 5/6, 733-750, 1992. Google Scholar

15. Bohren, C. F., "Scattering of electromagnetic waves by an optically active cylinder," J. Colloid Interface Sci., Vol. 66, 101-109, 1974. Google Scholar

16. Kluskens, M. S. and E. H. Newman, "Scattering by a multilayer chiral cylinder," IEEE Trans. Antennas Propagat., Vol. 39, 91-96, 1991.
doi:10.1109/8.64441 Google Scholar

17. Graglia, R. D., P . L. E. Uslenghi, and and C. L. Yu, "Electromagnetic oblique scattering by a cylinder coated with chiral layers and anisotropic jump-immittance sheets," J. Electromagn. Waves Applic., Vol. 6, No. 5/6, 695-719, 1992. Google Scholar

18. Chen, Z., W. Hong, and and W. Zhang, "Electromagnetic scattering from a chiral cylinder-general case," IEEE Trans. Antrnnas Propag., Vol. 44, No. 7, 912-917, 1996.
doi:10.1109/8.504296 Google Scholar

19. Bohren, C. F., "Scattering of electromagnetic waves by an optically active spherical shell," J. Chem. Phys., Vol. 62, 1566-1571, 1975.
doi:10.1063/1.430622 Google Scholar

20. Cooray, M. F. and I. R. Ciric, "Wave scattering by a chiral spheroid," J. Opt. Soc. Am. A, Vol. 10, No. 6, 1197-203, June 1993.
doi:10.1364/JOSAA.10.001197 Google Scholar

21. Lindell, I. V. and M. P. Silverman, "Plane-w ave scattering from a nonchiral object in a chiral environment," J. Opt. Soc. Am. A, Vol. 14, No. 1, 79-90, Jan. 1997.
doi:10.1364/JOSAA.14.000079 Google Scholar

22. Godlevskaya, A. N. and V. N. Kapshai, "Scattering of electromagnetic waves on spherically symmetrical particles in a naturally gyrotropic medium," Optics and Spectroscopy, Vol. 68, No. 1, 69-72, Jan. 1990. Google Scholar

23. Afonin, A. A., A. N. Godlevskaya,V. N. Kapshai,S. P. Kurlovich, and A. N. Serdyokov, "Scattering of electromagnetic waves by a two-layer spherical particle in a naturally gyrotropic medium," Optics and Spectroscopy, Vol. 69, No. 2, 242-245, Feb. 1990. Google Scholar

24. Lakhtakia, A., Beltrami Fields in Chiral Media, World Scientific, 1994.

25. Li, L.-W., D. You, M.-S. Leong, T.-S. Yeo, and and J. A. Kong, "Electromagnetic scattering by multilayered chiral-media structures: A scattering-to-radiation transform," Progress In Electromagnetics Research, Vol. 26, 2000. Google Scholar

26. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media, Artech House, Boston, 1994.

27. Bassiri, S., N. Engheta, and and C. H. Papas, "Dyadic Green’s function and dipole radiation in chiral media," Alta Freq., Vol. 55, 83-88, 1986. Google Scholar

28. Wolfram, S., Mathematica, 4th Ed., Cam bridge University Press, 1999.

29. Li, L.-W., T.-S. Yeo,P . S. Kooi, and M.-S. Leong, "An efficient calculational approach to evaluation of microwave specific attenuation," Accepted by IEEE Trans. Antennas Propagat., December 1999. Google Scholar

30. Ishimaru, A., "Wave Propagation and Scattering in Random Media," Academic Press, Vol. 1 & 2, 1978. Google Scholar

Dr. L.-W. Li

Dr. M.-S. Leong

Dr. T. S. Yeo

Dr. J. A. Kong