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| Progress In Electromagnetics Research | ISSN: 1070-4698, E-ISSN: 1559-8985 |
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INHOMOGENEOUS PLANAR LAYERED CHIRAL MEDIA: ANALYSIS OF WAVE PROPAGATION AND SCATTERING USING TAYLOR'S SERIES EXPANSIONBy D. Zarifi, A. Abdolali, M. Soleimani, and V. NayyeriAbstract: In this paper, an analytic frequency domain method based on Taylor's series expansion approach is introduced to analyze inhomogeneous planar layered chiral media for an arbitrary linear combination of TM and TE polarizations. In the presented method, electromagnetic parameters of inhomogeneous chiral media and also the electric and magnetic fields are expressed using Taylor's series expansion. Finally, the validity of the method is verified considering some special types of homogeneous and inhomogeneous chiral media and comparison of the obtained results from the presented method with the exact solutions.
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2. Engheta, N. and A. R. Mickelson, "Transition radiation caused by a chiral plate," IEEE Trans. Antennas Propagat., Vol. 30, 1213-1216, 1982. 3. Bassiri, S., C. H. Papas, and N. Engheta, "Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab," J. Opt. Soc. Am., Vol. 5, 1450-1459, 1988. 4. Rojas, R. G., "Integral equations for the scattering by a three dimensional inhomogeneous chiral body," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 5--6, 733-750, 1992.
5. Graglia, R. D., P. L. E. Uslenghi, and C. L. Yu, "Electromagnetic oblique scattering by a cylinder coated with chiral layers and anisotropic jump-immittance sheets," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 5--6, 695-719, 1992.
6. Chen, Z., W. Hong, and W. Zhang, "Electromagnetic scattering from a chiral cylinder-general case," IEEE Trans. Antennas Propagat., Vol. 44, No. 7, 912-917, 1996. 7. Lindell, I. V. and A. H. Sihvola, "Quasi-static analysis of scattering from a chiral sphere," Journal of Electromagnetic Waves and Applications, Vol. 4, No. 12, 1223-1231, 1990. 8. He, S., M. Norgen, and S. Strom, "Wave propagation in a stratified chiral slab with multiple discontinuities: Oblique incidence," Progress In Electromagnetics Research, Vol. 9, 137-156, 1994.
9. Al Sharkawy, M. H., A. Z. Elsherbeni, and S. F. Mahmoud, "Electromagnetic scattering from parallel chiral cylinders of circular cross sections using an iterative procedure," Progress In Electromagnetics Research, Vol. 47, 87-110, 2004. 10. Li, L. W., Y. Dan, M. S. Leong, and J. A. Kong, "Electromagnetic scattering by an inhomogeneous chiral sphere of varying permittivity: A discrete analysis using multilayered model," Progress In Electromagnetics Research, Vol. 23, 239-263, 1999. 11. Li, L.-W., D. You, M.-S. Leong, T.-S. Yeo, and J. A. Kong, "Electromagnetic scattering by multilayered chiral-media structures: A scattering-to-radiation transform," Progress In Electromagnetics Research, Vol. 26, 249-291, 2000. 12. Wang, D. X., E. K. N. Yung, R. S. Chen, and P. Y. Lau, "An efficient volume integral equation solution to EM scattering by complex bodies with inhomogeneous bi-isotropy," IEEE Trans. Antennas Propagat., Vol. 55, No. 7, 1970-1980, 2007. 13. Bao, J., D.Wang, and E. K. N. Yang, "Electromagnetic scattering from an arbitrary shaped bi-isotropic body of revolution," IEEE Trans. Antennas Propagat., Vol. 58, No. 5, 1689-1698, 2010. 14. Shi, Y. and C. H. Chan, "Solution to electromagnetic scattering by bi-isotropic media using multilevel Green's function interpolation method," Progress In Electromagnetics Research, Vol. 97, 259-274, 2009. 15. Worasawate, D., J. R. Mautz, and E. Arvas, "Electromagnetic scattering from an arbitrarily shaped three-dimensional homogeneous chiral body," IEEE Trans. Antennas Propagat., Vol. 51, No. 5, 1077-1084, 2003. 16. Varadan, V. K., V. V. Varadan, and A. Lakhtakia, "On the possibility of designing antireflection coatings using chiral materials," J. Wave-Mater. Interact., Vol. 2, No. 1, 1987.
17. Sharma, R. and N. Balakrishnan, "Scattering of electromagnetic waves from chirally coated cylinders," Smart Mater. Struct., Vol. 7, 512-521, 1998. 18. Wang, D. X., P. Y. Lau, E. K. N. Yung, and R. S. Chen, "Scattering by conducting bodies coated with bi-isotropic materials," IEEE Trans. Antennas Propagat., Vol. 58, No. 8, 2313-2319, 2007. 19. Ding, D.-Z. and R.-S. Chen, "Electromagnetic scattering by conducting BOR coated with chiral media above a lossy half space," Progress In Electromagnetics Research, Vol. 104, 385-401, 2010. 20. Yung, E. K. N. and B. J. Hu, "Scattering by conducting sphere coated with chiral media," Microwave Opt. Tech. Lett., Vol. 35, No. 4, 288-293, 2002. 21. Tretyakov, S., I. Nefedov, A. Sihvola, S. Maslovski, and C. Simovski, "Waves and energy in chiral nihility," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 5, 695-706, 2003. 22. Naqvi, Q. A., "Fractional dual solutions in grounded chiral nihility slab and their effect on outside field," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 5--6, 773-784, 2009. 23. Dong, J., "Exotic characteristics of power propagation in the chiral nihility fiber," Progress In Electromagnetics Research, Vol. 99, 163-178, 2009. 24. Tuz, V. R. and C.-W. Qiu, "Semi-infinite chiral nihility photonics: Parametric dependence, wave tunneling and rejection," Progress In Electromagnetics Research, Vol. 103, 139-152, 2010. 25. Dong, J., J. Li, and F.-Q. Yang, "Guided modes in the four-layer slab waveguide containing chiral nihility core," Progress In Electromagnetics Research, Vol. 112, 241-255, 2011.
26. Naqvi, A., A. Hussain, and Q. A. Naqvi, "Waves in fractional dual planar waveguides containing chiral nihility metamaterial," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 11--12, 1575-1586, 2010. 27. Illahi, A. and Q. A. Naqvi, "Study of focusing of electromagnetic waves reflected by a PEMC backed chiral nihility reflector using Maslov's method," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 7, 863-873, 2009. 28. Qamar, S. R., A. Naqvi, A. A. Syed, and Q. A. Naqvi, "Radiation characteristics of elementary sources located in unbounded chiral nihility metamaterial," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 5--6, 713-722, 2011. 29. Baqir, M. A., A. A. Syed, and Q. A. Naqvi, "Electromagnetic Fields in a circular waveguide containing chiral nihility metamaterial," Progress In Electromagnetics Research M, Vol. 16, 85-93, 2011.
30. Li, J., F.-Q. Yang, and J. Dong, "Design and simulation of L-shaped chiral negative refractive index structure," Progress In Electromagnetics Research, Vol. 116, 395-408, 2011.
31. Zarifi, D., H. Oraizi, and M. Soleimani, "Improved performance of circularly polarized antenna using semi-planar chiral metamaterial covers," Progress In Electromagnetics Research, Vol. 123, 337-354, 2012. 32. Zarifi, D., M. Soleimani, and V. Nayyeri, "A novel dual-band chiral metamaterial structure with giant optical activity and negative refractive index," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 2--3, 251-263, 2012.
33. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-isotropic Media, Artech House, Boston, 1994.
34. Lindell, I. V., A. H. Sihvola, A. J. Viitanen, and S. A. Tretyakov, "Geometrical optics in inhomogeneous chiral media with applications to polarization correction of inhomogeneous microwave lens antennas," Journal of Electromagnetic Waves and Applications, Vol. 4, No. 6, 533-548, 1990.
35. Viitanen, A. J. and I. V. Lindell, "Chiral slab polarization transformer for aperture antennas," IEEE Trans. Antennas Propagat., Vol. 46, No. 9, 1395-1397, 1998. 36. Richmond, J. H., "Transmission through inhomogeneous plane layers," IEEE Trans. Antennas Propagat., 300-305, May 1962.
37. Richmond, J. H., "Propagation of surface waves on an inhomogeneous plane layer," IEEE Trans. Antennas Propagat., 554-558, Nov. 1962.
38. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, New York, 1990.
39. Urbani, F., L. Vegni, and A. Toscano, "Inhomogeneous layered planar structures: An analysis of the reflection coefficients," IEEE Trans. Magn., 2771-2774, Sep. 1998. 40. Vegni, L. and A. Toscano, "Full-wave analysis of planar stratified with inhomogeneous layers," IEEE Trans. Antennas Propagat., Vol. 48, No. 4, 631-633, Apr. 2000. 41. Toscano, A., L. Vegni, and F. Bilotti, "A new efficient method of analysis for inhomogeneous media shields and filters," IEEE Trans. Electromagn. Compat., Vol. 43, No. 3, 394-399, Aug. 2001. 42. Rojas, J. A. M., J. Alpuente, J. PiƱeiro, and R. Sanchez-Montero, "Rigorous full vectorial analysis of electromagnetic wave propagation in 1D inhomogeneous media," Progress In Electromagnetics Research, Vol. 63, 89-105, 2006. 43. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using finite difference method," Progress In Electromagnetics Research, Vol. 59, 187-198, 2006.
44. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using Taylor's series expansion," IEEE Trans. Antennas Propagat., Vol. 54, No. 1, 130-135, Jan. 2006. 45. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using fourier series expansion," IEEE Trans. Antennas Propagat., Vol. 55, No. 2, 489-493, Feb. 2007. 46. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using the method of moments," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 14, 1925-1937, 2007. 47. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using equivalent sources method," Progress In Electromagnetics Research, Vol. 72, 61-73, 2007. 48. Khalaj-Amirhosseini, M., "To analyze inhomogeneous planar layers by cascading thin linear layers," Progress In Electromagnetics Research B, Vol. 3, 95-104, 2008. |