论文标题
线性，均质和各向同性介质中电磁波的分散
Dispersion of electromagnetic waves in linear, homogeneous, and isotropic media
论文作者
论文摘要
电磁波包装在线性，均质和各向同性介质变化中繁殖时，其包膜在时空中的不同点处具有不同速度的传播。通常，波包可以描述为具有不同频率ω和不同传播矢量k的平面波的叠加。尽管K-向量的角度扩散会产生衍射效应，但通常与光学分散体相关的是宿主介质的折射率的频率依赖性。当波背包的光谱分布仅限于狭窄的频率频段时，当K-矢量的扩散不太宽时，在某些情况下，有可能在某些情况下获得分析性表达式，以在随着时间的推移随着时间的流逝而演变。本文是对基础物理假设和数学论点进行系统描述的尝试，导致在存在衍射性以及（时间上）分散效应的情况下窄带电磁波包的某些知名特性。
An electromagnetic wave-packet propagating in a linear, homogeneous, and isotropic medium changes shape while its envelope travels with different velocities at different points in spacetime. In general, a wave-packet can be described as a superposition of plane-waves having different frequencies ω and different propagation vectors k. While the angular spread of the k-vectors gives rise to diffractive effects, it is the frequency-dependence of the refractive index of the host medium that is commonly associated with optical dispersion. When the spectral distribution of the wave-packet is confined to a narrow band of frequencies, and also when the spread of the k-vectors is not too broad, it is possible, under certain circumstances, to obtain analytical expressions for the local and/or global trajectory of the packet's envelope as it evolves in time. This paper is an attempt at a systematic description of the underlying physical assumptions and mathematical arguments leading to certain well-known properties of narrowband electromagnetic wave-packets in the presence of diffractive as well as (temporally) dispersive effects.
