标题： 电磁场在存在具有时空色散的非线性各向异性磁电介质中的规范量子化 显示英文标题

标题： Canonical quantization of electromagnetic field in the presence of nonlinear anisotropic magnetodielectric medium with spatial-temporal dispersion

摘要： 通过两个连续体的三维谐振子集合来模拟具有时空色散的非线性各向异性磁电介质，展示了在存在这种介质的情况下电磁场的完全规范量子化。 引入了一些不同阶数的耦合张量，这些张量将磁电介质与电磁场耦合。 介质的极化和磁化场是用耦合张量和模拟介质的谐振子来定义的。 介质的电和磁感应张量是用耦合张量来表示的。 证明了电场在频域中满足一个积分方程。 通过迭代方法求解该积分方程，并得到了任意精度的电场。 显示英文摘要

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.