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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2013-04-09
An Exact Formulation for the Reflection Coefficient from Anisotropic Multilayer Structures with Arbitrary Backing
By
Maryam Heidary,

    Dr. Maryam Heidary

    Electrical Engineering Department

    Iran University of Science and Technology

    Iran

    Homepage

Ali Abdolali,

    Dr. Ali Abdolali

    Department of Electrical Engineering

    Iran University of Science and Technology

    Iran

    Homepage

Mohammad Mahdi Salary

    Dr. Mohammad Mahdi Salary

    Electrical Engineering Department

    Iran University of Science and Technology

    Iran

    Homepage

Progress In Electromagnetics Research M, Vol. 30, 79-93, 2013
doi:10.2528/PIERM12101504 | Google Scholar

Abstract
This paper is concerned with the theory of wave propagation in biaxial anisotropic media. Consider a multilayered planar structure composed of media with electric and magnetic anisotropy, surrounded by two half spaces. Exat relations for reflection coefficient from this structure can be useful for arriving at the intended applications. In this paper, by matching of transverse field components at the bounderies, we will arrive at exact recursive relations for reflection coefficient of the structure. In the previous works, the magnetic and electric anisotropy were not taken into consideration at the same time, or complex relations were arrived. But using this novel method, those complexities will not appear and both electric and magnetic anisotropy are take into consideration. Moreover, we will not set any limits on the right half-space so the right most half-space may be a PEC, PMC, PEMC, surface impedance, dielectric or a metamaterial. Finally, the last section of the paper confirms the validity of the relations arrived at and as an interesting application; the zero reflection condition will be obtained.
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Citation
Maryam Heidary, Ali Abdolali, and Mohammad Mahdi Salary, "An Exact Formulation for the Reflection Coefficient from Anisotropic Multilayer Structures with Arbitrary Backing," Progress In Electromagnetics Research M, Vol. 30, 79-93, 2013.
doi:10.2528/PIERM12101504
References

1. Qiao, S., G. Zheng, and L. Ran, "Enhancement of evanescent wave in an electrically anisotropic slab with partially negative permittivity tensor," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 10, 1341-1350, 2008.
doi:10.1163/156939308786348965        Google Scholar

2. Wang, M.-Y., J. Xu, J.Wu, B.Wei, H.-L. Li, T. Xu, and D.-B. Ge, "FDTD study on wave propagation in layered structures with biaxial anisotropic metamaterials," Progress In Electromagnetics Research, Vol. 81, 253-265, 2008.
doi:10.2528/PIER07122602        Google Scholar

3. Bass, F. G. and L. Resnick, "The electromagnetic-wave propagation through a stratified inhomogeneous anisotropic medium," Progress In Electromagnetics Research, Vol. 48, 67-83, 2004.
doi:10.2528/PIER03122302        Google Scholar

4. Lindell, I. V., "Decomposition of electromagnetic fields in bi-anisotropic media," Journal of Electromagnetic Waves and Applications, Vol. 11, No. 5, 645-657, 1997.
doi:10.1163/156939397X00882        Google Scholar

5. Kong, J. A., Theory of Electromagnetic Wave, Wiley, New York, 1986.

6. Ren, W., "Contributions to the electromagnetic wave theory of bounded homogeneous anisotropic media," Phys. Rev. E, Vol. 47, No. 1, 664-673, Jan. 1993.
doi:10.1103/PhysRevE.47.664        Google Scholar

7. Cohoon, D. K., "An exact solution of mie type for scattering by a multilayer anisotropic sphere," Journal of Electromagnetic Waves and Applications, Vol. 3, No. 5, 421-448, 1989.
doi:10.1163/156939389X00142        Google Scholar

8. Teitler, S. and B. W. Henvis, "Refraction in stratified anisotropic media," J. Opt. Soc. Am., Vol. 60, 830-834, Jun. 1970.
doi:10.1364/JOSA.60.000830        Google Scholar

9. Berreman, D. W., "Optic in stratified and anisotropic media: 4 x 4 matrix formulation ," J. Opt. Soc. Am., Vol. 62, 502-510, Apr. 1972.
doi:10.1364/JOSA.62.000502        Google Scholar

10. Barkovskii, L. M. and G. N. Borzdov, "Electromagnetic waves in absorbing plane-layered anisotropic and gyrotropic media," J. Appl. Spectrosc., Vol. 23, 985-991, Sep. 1976.        Google Scholar

11. Barkovskii, L. M. and G. N. Borzdov, "Reflection of electromagnetic waves from layerde continuously inhomogeneous anisotropic media: Multiple reflection method," Opt. Spectrosc. (USSR), Vol. 45, 701-705, Oct. 1978.        Google Scholar

12. Graglia, R. D. and P. L. E. Uslenghi, "Electromagnetic scattering from anisotropic materials, part I: General theory," IEEE Transactions on Antennas and Propagation, Vol. 32, 867-869, Aug. 1984.
doi:10.1109/TAP.1984.1143422        Google Scholar

13. Morgan, M. A., et al. "Electromagnetic scattering by stratified inhomogeneous anisotropic media," IEEE Transactions on Antennas and Propagation, Vol. 35, 191-198, Feb. 1987.
doi:10.1109/TAP.1987.1144069        Google Scholar

14. Graglia, R. D., et al. "Reflection and transmission for planar structures of bianisotropic media," Electromagnetics, Vol. 11, No. 2, 193-208, 1991.
doi:10.1080/02726349108908273        Google Scholar

15. Titchener, J. B. and J. R. Willis, "The reflection of electromagnetic waves form stratified anisotropic media," IEEE Transactions on Antennas and Propagation, Vol. 39, 35-40, Jan. 1991.
doi:10.1109/8.64432        Google Scholar

16. Tsalamengas, J. L., "Interaction of electromagnetic waves with general bianisotropic slabs," IEEE Trans. Microwave Therory Tech., Vol. 40, 1870-1879, Oct. 1992.        Google Scholar

17. Lindell, I. V., et al. "Vector transmission-line and circuit theory for bi-isotropic layered structures," Journal of Electromagnetic Waves and Applications, Vol. 7, No. 1, 147-173, 1993.
doi:10.1163/156939393X01119        Google Scholar

18. Yang, H. D., "A spectral recursive transformation method for electromagnetic waves in generalized anisotropic layered media," IEEE Transactions on Antennas and Propagation, Vol. 45, 520-527, Mar. 1997.
doi:10.1109/8.558667        Google Scholar

19. Ning, J. and E. L. Tan, "Hybrid matrix method for stable analysis of electromagnetic waves in stratified bianisotropic media," IEEE Microwave Wireless Comp. Lett., Vol. 18, 653-656, Oct. 2008.
doi:10.1109/LMWC.2008.2003446        Google Scholar

20. Orfanidis, S. J., "Electromagnetic waves and antennas,", Department of Electrical and Computer Engineering, Rutgers University, Jun. 2004.        Google Scholar

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