PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 125 > pp. 119-135

INHOMOGENEOUS PLANAR LAYERED CHIRAL MEDIA: ANALYSIS OF WAVE PROPAGATION AND SCATTERING USING TAYLOR'S SERIES EXPANSION

By D. Zarifi, A. Abdolali, M. Soleimani, and V. Nayyeri

Full Article PDF (234 KB)

Abstract:
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.

Citation:
D. Zarifi, A. Abdolali, M. Soleimani, and V. Nayyeri, "Inhomogeneous Planar Layered Chiral Media: Analysis of Wave Propagation and Scattering Using Taylor's Series Expansion," Progress In Electromagnetics Research, Vol. 125, 119-135, 2012.
doi:10.2528/PIER11122804
http://www.jpier.org/PIER/pier.php?paper=11122804

References:
1. Jaggard, D. L., A. R. Mickelson, and C. H. Papas, "On electromagnetic waves in chiral media," Appl. Phys., Vol. 18, 211-216, 1979.
doi:10.1007/BF00934418

2. Engheta, N. and A. R. Mickelson, "Transition radiation caused by a chiral plate," IEEE Trans. Antennas Propagat., Vol. 30, 1213-1216, 1982.
doi:10.1109/TAP.1982.1142941

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.
doi:10.1364/JOSAA.5.001450

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.
doi:10.1109/8.504296

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.
doi:10.1163/156939390X00799

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.
doi:10.2528/PIER03102101

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.
doi:10.2528/PIER98120903

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.
doi:10.2528/PIER99080101

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.
doi:10.1109/TAP.2007.900260

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.
doi:10.1109/TAP.2010.2044313

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.
doi:10.2528/PIER09092001

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.
doi:10.1109/TAP.2003.811501

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.
doi:10.1088/0964-1726/7/4/011

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.
doi:10.1109/TAP.2007.901850

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.
doi:10.2528/PIER10021004

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.
doi:10.1002/mop.10586

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.
doi:10.1163/156939303322226356

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.
doi:10.1163/156939309788019958

23. Dong, J., "Exotic characteristics of power propagation in the chiral nihility fiber," Progress In Electromagnetics Research, Vol. 99, 163-178, 2009.
doi:10.2528/PIER09102801

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.
doi:10.2528/PIER10030706

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.
doi:10.1163/156939310792149614

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.
doi:10.1163/156939309788355216

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.
doi:10.1163/156939311794827294

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.
doi:10.2528/PIER11110506

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.
doi:10.1109/8.719989

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.
doi:10.1109/20.717644

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.
doi:10.1109/8.843679

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.
doi:10.1109/15.942611

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.
doi:10.2528/PIER06042501

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.
doi:10.1109/TAP.2005.861577

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.
doi:10.1109/TAP.2006.889923

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.
doi:10.1163/156939307783152984

47. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using equivalent sources method," Progress In Electromagnetics Research, Vol. 72, 61-73, 2007.
doi:10.2528/PIER07030802

48. Khalaj-Amirhosseini, M., "To analyze inhomogeneous planar layers by cascading thin linear layers," Progress In Electromagnetics Research B, Vol. 3, 95-104, 2008.
doi:10.2528/PIERB07120601


© Copyright 2014 EMW Publishing. All Rights Reserved