Journal of Electrical and Electronic Engineering

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Propagation of Photon in Multilayer Anisotropic Metamaterials

Received: 09 November 2016    Accepted:     Published: 10 November 2016
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Abstract

We present a theoretical study of the propagation properties of polarized photons transmitting through a multilayer cavity with anisotropic metamaterials. We find that there are the resonant peaks of transmission appearing for photons polarized in a certain direction transmitting through the cavity with the anisotropic metamaterials having negative elements of the permittivity tensor. The resonant peak of transmission for photons can be achieved by adjusting the thicknesses of the cavity. The frequency of the resonant peak moves to the lower frequency as the thickness of the cavity which is the air in our designed structure increasing for a three layer cavity. The result also shows that we can adjust the resonant peak through changing the layer number. Increasing the layer number the more resonant peaks appear. The three layer system has one resonant peak. The five layer system has two resonant peaks and the seven layer system has three resonant peaks. The cavity number which also is the number of the air layer decides the resonant peaks. Increasing the cavity thickness the space of the resonant peaks will decrease. For a three layer cavity, the resonant peak will appear to a certain cavity thickness when we keep the frequency of the input photon as a constant. As the frequency of the input photon becomes bigger the thickness of the cavity corresponding to the resonant peak becomes smaller. At the same time the resonant peak becomes sharp. The result shows that the transmission is almost invariant with the changing of the thickness of the anisotropic metamaterials. This means the resonant peak is insensitive to the thickness of the anisotropic metamaterials. So the thickness of the cavity (air) is important to the design of the cavity structure. These conclusions will give us some instructions to the design of the cavity structure with the anisotropic metamaterials. The cavity structures with the anisotropic metamaterials have the potential for applying such as filters for photons with certain polarizations.

DOI 10.11648/j.jeee.20160405.15
Published in Journal of Electrical and Electronic Engineering (Volume 4, Issue 5, October 2016)
Page(s) 114-119
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Anisotropic Metamaterial, Multilayer, Cavity, Resonant Transmission, Polarized Photon

References
[1] D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Composite Medium with Simultaneously Negative Permeability and Permittivity, Phys. Rev. Lett. 84 4184 (2000)
[2] J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys. Rev. Lett. 85 3966 (2000)
[3] L. F. Shen, S. L. He and S. S. Xiao, Stability and quality factor of a one-dimensional subwavelength cavity resonator containing a left-handed material, Phys. Rev. B 69 115111 (2004)
[4] J. Li, L. Zhou, C. T. Chan, P. Sheng, Photonic Band Gap from a Stack of Positive and Negative Index Materials, Phys. Rev. Lett. 90 083901 (2003)
[5] D. R. Smith and D. Schurig, Electromagnetic Wave Propagation in Media with Indefinite Permittivity and Permeability Tensors, Phys. Rev. Lett. 90 077405 (2003)
[6] L. Zhou, C. T. Chan, and P. Sheng, Anisotropy and oblique total transmission at a planar negative-index interface, Phys. Rev. B 68 115424 (2003)
[7] S. Sun, X. Huang, and L. Zhou, Two-dimensional complete photonic gaps from layered periodic structures containing anisotropic left-handed metamaterials, Phys. Rev. E 75 066602 (2007)
[8] L. Hu and S. T. Chui, Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials, Phys. Rev. B 66 085108 (2002)
[9] J. Hao, Y. Yuan., L. Ran, T. Jiang, J. A. Kong, C. T. Chan and L. Zhou, Manipulating Electromagnetic Wave Polarizations by Anisotropic Metamaterials, Phys. Rev. Lett. 99 063908 (2007)
[10] J. Hao and L. Zhou, Electromagnetic wave scatterings by anisotropic metamaterials: Generalized 4×4 transfer-matrix method, Phys. Rev. B 77 094201 (2008)
[11] J. Hao, M. Qiu and L. Zhou, Manipulate light polarizations with metamaterials: From microwave to visible, Front. Phys. 5(3), 291 (2010)
[12] H. F. Ma, W. X. Tang, Q. Cheng and T. J. Cui, A single metamaterial plate as bandpass filter, transparent wall, and polarization converter controlled by polarizations Appl. Phys. Lett. 105 081908 (2014)
[13] Y. Dong, X. Cui, Quantum optical correlation through metamaterials, Front. Phys. 7 (5), 513 (2012)
[14] Y. Dong, X. Zhang, Quantum-optical input–output relations and entanglement distillation by anisotropic planar multilayers, J. Opt. 13 035401 (2011)
[15] Y. Dong, C. Liu, Electromagnetic field quantization and input-output relation for anisotropic magnetodielectric metamaterial, Chin. Phys. B 24 064206 (2015)
[16] Y. Dong, J. You, Propagation of polarized photons through a cavity with an anisotropic metamaterial, Front. Phys. 11, 114206 (2016)
Author Information
  • School of Electrical and Electronic Engineering, North China Electric Power University, Beijing, China

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    Yunxia Dong. (2016). Propagation of Photon in Multilayer Anisotropic Metamaterials. Journal of Electrical and Electronic Engineering, 4(5), 114-119. https://doi.org/10.11648/j.jeee.20160405.15

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    ACS Style

    Yunxia Dong. Propagation of Photon in Multilayer Anisotropic Metamaterials. J. Electr. Electron. Eng. 2016, 4(5), 114-119. doi: 10.11648/j.jeee.20160405.15

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    AMA Style

    Yunxia Dong. Propagation of Photon in Multilayer Anisotropic Metamaterials. J Electr Electron Eng. 2016;4(5):114-119. doi: 10.11648/j.jeee.20160405.15

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  • @article{10.11648/j.jeee.20160405.15,
      author = {Yunxia Dong},
      title = {Propagation of Photon in Multilayer Anisotropic Metamaterials},
      journal = {Journal of Electrical and Electronic Engineering},
      volume = {4},
      number = {5},
      pages = {114-119},
      doi = {10.11648/j.jeee.20160405.15},
      url = {https://doi.org/10.11648/j.jeee.20160405.15},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.jeee.20160405.15},
      abstract = {We present a theoretical study of the propagation properties of polarized photons transmitting through a multilayer cavity with anisotropic metamaterials. We find that there are the resonant peaks of transmission appearing for photons polarized in a certain direction transmitting through the cavity with the anisotropic metamaterials having negative elements of the permittivity tensor. The resonant peak of transmission for photons can be achieved by adjusting the thicknesses of the cavity. The frequency of the resonant peak moves to the lower frequency as the thickness of the cavity which is the air in our designed structure increasing for a three layer cavity. The result also shows that we can adjust the resonant peak through changing the layer number. Increasing the layer number the more resonant peaks appear. The three layer system has one resonant peak. The five layer system has two resonant peaks and the seven layer system has three resonant peaks. The cavity number which also is the number of the air layer decides the resonant peaks. Increasing the cavity thickness the space of the resonant peaks will decrease. For a three layer cavity, the resonant peak will appear to a certain cavity thickness when we keep the frequency of the input photon as a constant. As the frequency of the input photon becomes bigger the thickness of the cavity corresponding to the resonant peak becomes smaller. At the same time the resonant peak becomes sharp. The result shows that the transmission is almost invariant with the changing of the thickness of the anisotropic metamaterials. This means the resonant peak is insensitive to the thickness of the anisotropic metamaterials. So the thickness of the cavity (air) is important to the design of the cavity structure. These conclusions will give us some instructions to the design of the cavity structure with the anisotropic metamaterials. The cavity structures with the anisotropic metamaterials have the potential for applying such as filters for photons with certain polarizations.},
     year = {2016}
    }
    

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  • TY  - JOUR
    T1  - Propagation of Photon in Multilayer Anisotropic Metamaterials
    AU  - Yunxia Dong
    Y1  - 2016/11/10
    PY  - 2016
    N1  - https://doi.org/10.11648/j.jeee.20160405.15
    DO  - 10.11648/j.jeee.20160405.15
    T2  - Journal of Electrical and Electronic Engineering
    JF  - Journal of Electrical and Electronic Engineering
    JO  - Journal of Electrical and Electronic Engineering
    SP  - 114
    EP  - 119
    PB  - Science Publishing Group
    SN  - 2329-1605
    UR  - https://doi.org/10.11648/j.jeee.20160405.15
    AB  - We present a theoretical study of the propagation properties of polarized photons transmitting through a multilayer cavity with anisotropic metamaterials. We find that there are the resonant peaks of transmission appearing for photons polarized in a certain direction transmitting through the cavity with the anisotropic metamaterials having negative elements of the permittivity tensor. The resonant peak of transmission for photons can be achieved by adjusting the thicknesses of the cavity. The frequency of the resonant peak moves to the lower frequency as the thickness of the cavity which is the air in our designed structure increasing for a three layer cavity. The result also shows that we can adjust the resonant peak through changing the layer number. Increasing the layer number the more resonant peaks appear. The three layer system has one resonant peak. The five layer system has two resonant peaks and the seven layer system has three resonant peaks. The cavity number which also is the number of the air layer decides the resonant peaks. Increasing the cavity thickness the space of the resonant peaks will decrease. For a three layer cavity, the resonant peak will appear to a certain cavity thickness when we keep the frequency of the input photon as a constant. As the frequency of the input photon becomes bigger the thickness of the cavity corresponding to the resonant peak becomes smaller. At the same time the resonant peak becomes sharp. The result shows that the transmission is almost invariant with the changing of the thickness of the anisotropic metamaterials. This means the resonant peak is insensitive to the thickness of the anisotropic metamaterials. So the thickness of the cavity (air) is important to the design of the cavity structure. These conclusions will give us some instructions to the design of the cavity structure with the anisotropic metamaterials. The cavity structures with the anisotropic metamaterials have the potential for applying such as filters for photons with certain polarizations.
    VL  - 4
    IS  - 5
    ER  - 

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