volume | PIER Journals

Abstract

An analytical method based on combination of Fourier transform and Taylor's series expansion is presented for analyzing interaction of electromagnetic cylindrical waves with inhomogeneous planar media. In the proposed method, constitutive parameters and Fourier transformed electric and magnetic fields of the inhomogeneous layer are expressed using Taylor's series expansion. Then, the unknown coefficients of the fields are obtained based on Maxwell's equations and boundary conditions. The validity of the method is verified by considering some special types of inhomogeneous media and comparing the obtained results by this method with those of other reported methods. The results show that when Fourier transform is combined with Taylor's series expansion, a powerful and quick approach is provided for solving such problems.

1. 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 Google Scholar

2. Zhou, B., H. Li, X. Zou, and T.-J. Cui, "Broadband and high-gain planar vivaldi antennas based on inhomogeneous anisotropic zero-index metamaterials," Progress In Electromagnetics Research, Vol. 120, 235-247, 2011. Google Scholar

3. Khalaj-Amirhosseini, M., "Use of dielectric inhomogeneous planar layers as optimum microwave absorbers," IET Microwaves, Antennas & Propagation, Vol. 4, No. 12, 2228-2233, 2010.
doi:10.1049/iet-map.2010.0014 Google Scholar

4. Richmond, J. H., "Transmission through inhomogeneous plane layers," IRE Trans. Antennas Propag., 300-305, May 1962.
doi:10.1109/TAP.1962.1137877 Google Scholar

5. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, New York, 1990.

6. Khalaj-Amirhosseini, M., "Analysis of inhomogeneous planar layers using Taylor's series expansion," IEEE Trans. Antennas Propag., Vol. 54, No. 1, 130-135, 2006.
doi:10.1109/TAP.2005.861577 Google Scholar

7. Zarifi, D., 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 Google Scholar

8. Nayyeri, V., D. Zarifi, and M. Soleimani, "Electromagnetic scattering from inhomogeneous planar layered media using notation of propagators," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 7, 875-884, 2012.
doi:10.1080/09205071.2012.710359 Google Scholar

9. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using Fourier series expansion," IEEE Trans. Antennas Propag., Vol. 55, No. 2, 489-493, Feb. 2007.
doi:10.1109/TAP.2006.889923 Google Scholar

10. Zarifi, D., H. Oraizi, and M. Soleimani, "Electromagnetic scattering from inhomogeneous planar layered chiral media using the finite difference method," Journal of Electromagnetic Waves and Applications, Vol. 27, No. 5, 582-590, 2013.
doi:10.1080/09205071.2013.757198 Google Scholar

11. Vegni, L. and A. Toscano, "Full-wave analysis of planar stratified with inhomogeneous layers," IEEE Trans. Antennas Propag., Vol. 48, No. 4, 631-633, Apr. 2000.
doi:10.1109/8.843679 Google Scholar

12. Dumin, O. M., O. O. Dumina, and V. A. Katrich, "Evolution of transient electromagnetic fields in radially inhomogeneous nonstationary medium," Progress In Electromagnetics Research, Vol. 103, 403-418, 2010.
doi:10.2528/PIER10011909 Google Scholar

13. Khodapanah, E. and S. Nikmehr, "A higher order analysis of a class of inhomogeneously filled conducting waveguides," Progress In Electromagnetics Research, Vol. 118, 223-241, 2011.
doi:10.2528/PIER11040902 Google Scholar

14. Attardo, E. A., T. Isernia, and G. Vecchi, "Field synthesis in inhomogeneous media: Joint control of polarization, uniformity and SAR in MRI B1-field," Progress In Electromagnetics Research, Vol. 118, 355-377, 2011.
doi:10.2528/PIER11051910 Google Scholar

15. Brandao Faria, J. A. M., "A circuit approach for the electromagnetic analysis of inhomogeneous cylindrical structures," Progress In Electromagnetics Research B, Vol. 30, 223-238, 2011. Google Scholar

16. Song, K., X. Zhou, and Y. Fan, "Electromagnetic scattering from a multilayered surface with lossy inhomogeneous dielectric profiles for remote sensing of snow," Progress In Electromagnetics Research M, Vol. 25, 197-209, 2012. Google Scholar

17. Kurrant, D. J. and E. C. Fear, "Extraction of internal spatial features of inhomogeneous dielectric objects using near-field reflection data," Progress In Electromagnetics Research, Vol. 122, 197-221, 2012.
doi:10.2528/PIER11092105 Google Scholar

18. Kong, J. A., "Electromagnetic wave interaction with stratified negative isotropic media," Progress In Electromagnetics Research, Vol. 35, 1-52, 2002.
doi:10.2528/PIER01082101 Google Scholar

19. Ahmed, S. and Q. A. Naqvi, "Directive EM radiation of a line source in the presence of a coated nihility cylinder," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 5-6, 761-771, 2009.
doi:10.1163/156939309788019886 Google Scholar

20. Ahmed, S. and Q. A. Naqvi, "Directive EM radiation of a line source in the presence of a coated PEMC circular cylinder," Progress In Electromagnetics Research, Vol. 92, 91-102, 2009.
doi:10.2528/PIER09030503 Google Scholar

21. 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 Google Scholar

22. Balanis, C., Advanced Engineering Electromagnetics, Wiley, New York, 1989.

Dr. Seyed Ehsan Hosseininejad

Dr. Ali Abdolali

Professor Nader Komjani

Dr. Davoud Zarifi