Electromagnetic-field quantization in inhomogeneous and dispersive one-dimensional systems.
Electromagnetic-field quantization in inhomogeneous and dispersive one-dimensional systems.
复制标题
DOI：
10.1103/physreva.52.1538
复制
发表时间：
1995-08
期刊：
影响因子：
--
通讯作者：
David J. Santos;David J. Santos;Rodney Loudon;Rodney Loudon
中科院分区：
文献类型：
--
作者：
David J. Santos;David J. Santos;Rodney Loudon;Rodney Loudon
电磁场在介电函数随频率和一个空间维度变化的材料中被量子化。假设介电函数具有已知的形式，并且在对于特定应用（例如光信号的传播）重要的频率范围内是真实的。模式函数的一般属性被导出并在量化过程中使用。获得了能量和动量密度以及电流算子的表达式，并且这些表达式满足适当的守恒定律和连续性关系。通过应用均匀电介质和具有清晰界面的两种不同电介质的示例来说明一般形式。
The electromagnetic field is quantized in a material whose dielectric function varies with frequency and one spatial dimension. The dielectric function is assumed to have a known form and to be real over the range of frequencies important for a particular application, for example the propagation of an optical signal. General properties of the mode functions are derived and employed in the quantization procedure. Expressions are obtained for the energy and momentum density and current operators, and these are shown to satisfy the appropriate conservation and continuity relations. The general formalism is illustrated by application to the examples of a homogeneous dielectric and two different dielectrics with a sharp interface.