Search search
Publication Date
to
Vol. 32
Latest Volume
All Volumes
PIERM 139 PIERM 138 PIERM 137 PIERM 136 PIERM 135 PIERM 134 PIERM 133 PIERM 132 PIERM 131 PIERM 130 PIERM 129 PIERM 128 PIERM 127 PIERM 126 PIERM 125 PIERM 124 PIERM 123 PIERM 122 PIERM 121 PIERM 120 PIERM 119 PIERM 118 PIERM 117 PIERM 116 PIERM 115 PIERM 114 PIERM 113 PIERM 112 PIERM 111 PIERM 110 PIERM 109 PIERM 108 PIERM 107 PIERM 106 PIERM 105 PIERM 104 PIERM 103 PIERM 102 PIERM 101 PIERM 100 PIERM 99 PIERM 98 PIERM 97 PIERM 96 PIERM 95 PIERM 94 PIERM 93 PIERM 92 PIERM 91 PIERM 90 PIERM 89 PIERM 88 PIERM 87 PIERM 86 PIERM 85 PIERM 84 PIERM 83 PIERM 82 PIERM 81 PIERM 80 PIERM 79 PIERM 78 PIERM 77 PIERM 76 PIERM 75 PIERM 74 PIERM 73 PIERM 72 PIERM 71 PIERM 70 PIERM 69 PIERM 68 PIERM 67 PIERM 66 PIERM 65 PIERM 64 PIERM 63 PIERM 62 PIERM 61 PIERM 60 PIERM 59 PIERM 58 PIERM 57 PIERM 56 PIERM 55 PIERM 54 PIERM 53 PIERM 52 PIERM 51 PIERM 50 PIERM 49 PIERM 48 PIERM 47 PIERM 46 PIERM 45 PIERM 44 PIERM 43 PIERM 42 PIERM 41 PIERM 40 PIERM 39 PIERM 38 PIERM 37 PIERM 36 PIERM 35 PIERM 34 PIERM 33 PIERM 32 PIERM 31 PIERM 30 PIERM 29 PIERM 28 PIERM 27 PIERM 26 PIERM 25 PIERM 24 PIERM 23 PIERM 22 PIERM 21 PIERM 20 PIERM 19 PIERM 18 PIERM 17 PIERM 16 PIERM 14 PIERM 13 PIERM 12 PIERM 11 PIERM 10 PIERM 9 PIERM 8 PIERM 7 PIERM 6 PIERM 5 PIERM 4 PIERM 3 PIERM 2 PIERM 1
All Journals
PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2013-07-15
A Duality Between Metamaterials and Conventional Materials in Multilayered Anisotropic Planar Structures
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

Hossein Mirzaei

    Dr. Hossein Mirzaei

    Center of Excellence on Applied Electromagnetic Systems

    University of Tehran

    Iran

    Homepage

Progress In Electromagnetics Research M, Vol. 32, 13-25, 2013
doi:10.2528/PIERM13041107 | Google Scholar

Abstract
Consider a plane wave incident on a multilayered planar anisotropic structure composed of conventional materials and metamaterials and surround by two half-spaces. In this paper, we aim to prove three theorems which indicate a kind of duality in these structures. Assume an arbitrarily polarized plane wave obliquely incident on the structures. Theorem 1: Assume that an arbitrarily polarized plane wave is obliquely incident on the structure. Now each layer is filled with by dual media according to the interchanges DPS ↔ DNG and ENG ↔ MNG. Then, the reflection (R) and transmission (T) coefficients of the structure become the complex conjugates of their counterparts. Consequently, the reflected power and transmitted power from the structure are the same for the two dual cases of anisotropic media. Theorem 2: If the interchanges DPS ↔ DNG and ENG ↔ MNG are made in all the layers except in the half spaces on the two sides of the multilayer structure (which is more realizable), then the reflection coefficients become complex conjugates and the reflected power remains the same. Theorem 3: If the structure is backed by a perfect electric conductor and the media interchanges DPS ↔ DNG and ENG ↔ MNG are made in the layers, then the reflection coefficients of the two dual structures become complex conjugates of each other, and the reflected powers are equal. Independent of wave frequency, the number of layers, their thickness, and the type of polarization, these theorems hold true in case of any change in any of these conditions. In the last section, some examples are provided to verify the validity of the proposed theorems.
Download Full Article (753) View Full Article volume
Citation
Maryam Heidary, Ali Abdolali, Mohammad Mahdi Salary, and Hossein Mirzaei, "A Duality Between Metamaterials and Conventional Materials in Multilayered Anisotropic Planar Structures," Progress In Electromagnetics Research M, Vol. 32, 13-25, 2013.
doi:10.2528/PIERM13041107
References

1. 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

2. 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

3. Barkovskii, L. M. and G. N. Borzdov, "Electromagnetic waves in absorbing plane-layered anisotropic and gyrotropic media," J. Appl. Spectrosc., Vol. 23, 985-991, Sept. 1976.
doi:10.1007/BF00608828        Google Scholar

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

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

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

7. Graglia, R. D., et al. "Reflection and transmission for planar structures of bianisotropic media," Electromagnetics, Vol. 11, 193-208, 1991.
doi:10.1080/02726349108908273        Google Scholar

8. Titchener, J. B. and J. R. Willis, "The reflection of electromagnetic waves from stratified anisotropic media," IEEE Trans. Antennas Propagat., Vol. 39, 35-40, Jan. 1991.
doi:10.1109/8.64432        Google Scholar

9. Tsalamengas, J. L., "Interaction of electromagnetic waves with general bianisotropic slabs," IEEE Trans. Microwave Therory Tech., Vol. 40, 1870-1879, Oct. 1992.
doi:10.1109/22.159623        Google Scholar

10. Lindell, I. V., et al. "Vector Transmission-line and circuit theory for bi-isotropic layered structures," Journal of Electromagnetic Waves and Applications, Vol. 7, 147-173, 1993.
doi:10.1163/156939393X01119        Google Scholar

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

12. 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

13. Kong, J. A., "Theory of Electromagnetic Waves," EMW Publishing, 2005.        Google Scholar

14. Oraizi, H. and A. Abdolali, "Design and optimization of planar multilayer antireflection meta-material coatings at Ku band under circularly polarized oblique plane wave incidence," Progress In Electromagnetics Research C, Vol. 3, 1-18, 2008.
doi:10.2528/PIERC08021906        Google Scholar

15. Ziolkowski, R. W. and E. Heyman, "Wave propagation in media having negative permittivity and permeability," Phys. Rev. E, tat. Phys. Plasmas Fluids Relat., Vol. 64, No. 5, 617-625, 2001.        Google Scholar

16. 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

17. Oraizi, H. and A. Abdolali, "Mathematical formulation for zero reflection from multilayer metamaterial structures and their notable applications," IET Microwaves, Antennas & Propagation, Vol. 3, No. 6, 987-996, Sep. 2009.
doi:10.1049/iet-map.2008.0281        Google Scholar

18. Oraizi, H. and A. Abdolali, "Several theorems for reflection and transmission coefficients of plane wave incidence on planar multilayer metamaterial structures," IET Microwaves, Antennas & Propagation Journal, Vol. 4, No. 11, 1870-1879, Nov. 2010.
doi:10.1049/iet-map.2009.0468        Google Scholar

19. Su, H. L. and K. H. Lin, "Design of an anisotropic quarter-wave polariser without insertion loss caused by mismatch," IEE Proc .--- Microw. Antennas Propag., Vol. 153, No. 3, 253-258, Jun. 2006.
doi:10.1049/ip-map:20045144        Google Scholar

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

21. 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.        Google Scholar

Download Full Article (753) View Full Article volume


The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.