عنوان مقاله [English]
We study quantum nature of metamaterials in the presence of electromagnetic field. Starting from a Lagrangian, the electromagnetic field is canonically quantized in the presence of the metamaterials. The equations of motion for the canonical variables are solved using Laplace technique. In the large-time limit, the vector potential operator is found and expressed in terms of the medium operators. In a global thermal state, finite temperature two-point correlation functions of the electromagnetic field are calculated. The electromagnetic energy flux and energy density and absorbed energy in metamaterials are obtained by considering the special case of thermal equilibrium and using Noether's theorem.
Y.X. Dong, J.J. You,Propagation of polarized photons through a cavity with an anisotropic metamaterial, Frontiers of Physics 11 6 (2016) 114208 (1-7).
 V.M. Shalaev, W. Cai, et. Al, Negative index of refraction in optical metamaterials, Optics Letters 30 (2005) 3356-3358.
 S. Fleming, Metamaterialhyperlens demonstration of propagation without diffraction, American Journal of Physics 85 (2017) 173-177.
 M. Khorasaninejad, W.T. Chen, R.C. Devlin, et. al, Metalenses at visible wavelengths: Diffraction-limited focusing and subwavelength resolution imaging, Science 352 (2016) 1190-1194.
 J.T. Costa, M.G. Silveirinha, Poynting vector in negative-index metamaterials, Physical. Review B 83 (2011) 165120 (1-8).
 S.M. Wang, S.Y. Mu, C. Zhu, Y.X. Gong, P. Xu, H. Liu, T. Li, S.N. Zhu, X. Zhang, Hong-Ou-Mandel interference mediated by the magnetic plasmon waves in a three-dimensional optical metamaterial, Optical. Express 20 (2012) 5213-5218.
 Y.X. Dong, J.J. You, Propagation of polarized photons through a cavity with an anisotropic metamaterial, Frontiers of Physics 11 (2016) 114208 (1-7).
 Y.X. Dong, L. Chun-Ying. "Electromagnetic field quantization and input–output relation for anisotropic magneto dielectric metamaterial." Chinese Physics B 246 (2015): 064206 (1-7).
 J.D. Jackson, Classical Electrodynamics, New York, Wiley, (1998).
 F. Kheirandish, E. Amooghorban, Finite-temperature Cherenkov radiation in the presence of a magnetodielectric medium, Physical. Review A 82 (2010) 042901(1-14).
 T.G Philbin,Casimir effect from macroscopic quantum electrodynamics, New Journal of Physics 13 (2011) 063026 (1-21).
 M. Jafari, F. Kheirandish, Hamiltonian of mean force and a damped harmonic oscillator in an anisotropic medium, laser physics 27 (2017) 015201 (1-5).
 R. Matloob, Electromagnetic field quantization in an absorbing medium, Physical. Reviwe A 60 (1999) 50-55.