Propagation of polarized photons through a cavity with an anisotropic metamaterial

Abstract

We present a theoretical study of the propagation properties of polarized photons passing through the cavity with an anisotropic metamaterial. We find that the resonant peaks of transmission appear for photons polarized in a certain direction corresponding to a negative element of the permittivity tensor. This indicates the potential for applying such cavity structures as filters for photons with certain polarizations. The resonant peak of transmission for photons having a given frequency can be achieved by adjusting the thicknesses of the air and metamaterial. If the frequency of the incident photons and the thickness of the metamaterial are fixed, the cavity structure can be used as a photon switch controlled by the thickness of the air. The effect of the absorption is considered, and the result shows that the transmission peak always appears, even for metamaterials with large absorption. Finally, the polarization manipulation of such structures is explored.

Keywords

anisotropic metamaterial / polarized photon / cavity structure

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(18), 4184 (2000)

[2] J. B. Pendry, Negative refraction makes a perfect lens, Phys. Rev. Lett. 85(18), 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(11), 115111 (2004)

[4] J. Li, L. Zhou, C. T. Chan, and P. Sheng, Photonic band gap from a stack of positive and negative index materials, Phys. Rev. Lett. 90(8), 083901 (2003)

[5] D. R. Smith and D. Schurig, Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors, Phys. Rev. Lett. 90(7), 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(11), 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(6), 066602 (2007)

[8] L. Hu and S. T. Chui, Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials, Phys. Rev. B 66(8), 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(6), 063908 (2007)

[10] J. Hao and L. Zhou, Electromagnetic wave scatterings by anisotropic metamaterials: Generalized 4×4 transfermatrix method, Phys. Rev. B 77(9), 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(8), 081908 (2014)

[13] Y. Dong and X. Cui, Quantum optical correlation through metamaterials, Front. Phys. 7(5), 513 (2012)

[14] Y. Dong and X. Zhang, Quantum-optical input–output relations and entanglement distillation by anisotropic planar multilayers, J. Opt. 13(3), 035401 (2011)

[15] Y. Dong and C. Liu, Electromagnetic field quantization and input-output relation for anisotropic magnetodielectric metamaterial, Chin. Phys. B 24(6), 064206 (2015)

[16] Y. Dong and X. Zhang, Unusual entanglement transformation properties of the quantum radiation through one-dimensional random system containing left-handedmaterials, Opt. Express 16(21), 16950 (2008)

[17] D. Zhao, H. Gong, Y. Yang, Q. Li, and M. Qiu, Realization of an extraordinary transmission window for a seamless Ag film based on metal-insulator-metal structures, Appl. Phys. Lett. 102(20), 201109 (2013)

[18] W. Wang, D. Zhao, Y. Chen, H. Gong, X. Chen, S. Dai, Y. Yang, Q. Li, and M. Qiu, Grating-assisted enhanced optical transmission through a seamless gold film, Opt. Express 22(5), 5416 (2014)

[19] Q. Li, T. Wang, Y. Su, M. Yan, and M. Qiu, Coupled mode theory analysis of mode-splitting in coupled cavity system, Opt. Express 18(8), 8367 (2010)

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Higher Education Press and Springer-Verlag Berlin Heidelberg