Canonical Quantization of Electromagnetic Field in the Presence of Nonlinear Anisotropic Magnetodielectric Medium with Spatial-Temporal Dispersion

被引：0
作者：
M. Amooshahi
机构：
[1] University of Isfahan,Faculty of Science
来源：
International Journal of Theoretical Physics | 2016年 / 55卷
关键词：
Canonical quantization; Nonlinear magnetodielectric medium; Coupling tensor; Susceptibility tensor; Constitutive relation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Modeling a nonlinear anisotropic magnetodielectric medium with spatial-temporal dispersion by two continuum collections of three dimensional harmonic oscillators, a fully canonical quantization of the electromagnetic field is demonstrated in the presence of such a medium. Some coupling tensors of various ranks are introduced that couple the magnetodielectric medium with the electromagnetic field. The polarization and magnetization fields of the medium are defined in terms of the coupling tensors and the oscillators modeling the medium. The electric and magnetic susceptibility tensors of the medium are obtained in terms of the coupling tensors. It is shown that the electric field satisfy an integral equation in frequency domain. The integral equation is solved by an iteration method and the electric field is found up to an arbitrary accuracy.
引用
收藏
页码：3761 / 3776
页数：15
相关论文
共 34 条
  • [1] Casimir HBG(1948)General theory of Van der waals forces Proc. K. Ned. Akad. Wet. 51 793-176
  • [2] Casimir H(1948)undefined Phys. Rev. A 73 360-1986
  • [3] Polder D(1961)undefined Phys.-Uspekhi 4 153-undefined
  • [4] Dzyaloshinskii IEe(2005)undefined Phys. Rev. A 71 013814-undefined
  • [5] Lifshitz E(2004)undefined Phys. Rev. A 70 062110-undefined
  • [6] Pitaevskii LP(1999)undefined Phys. Rev. A 60 3421-undefined
  • [7] Raabe C(2003)undefined J. Chem. Phys. Vol 119 2-undefined
  • [8] Welsch DG(2005)undefined Phys. Rev. Lett. 95 230601-undefined
  • [9] Matloob R(1946)undefined Phys. Rev. 69 681-undefined
  • [10] Matloob R(1987)undefined Phys. Rev. Lett. 58 2059-undefined
1234