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首页> 外文期刊>Journal of the Optical Society of America, B. Optical Physics >Transmission and reflection of normally incident, pulsed electromagnetic plane waves upon a Lorentz half-space
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Transmission and reflection of normally incident, pulsed electromagnetic plane waves upon a Lorentz half-space

机译：在Lorentz半空间上传输和反射法向入射的脉冲电磁平面波

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摘要

One-dimensional propagation of a normally incident, pulsed electromagnetic plane wave upon an isotropic, spatially homogeneous, Lorentz half-space is investigated analytically. fourier integral representations of the time-dependent reflected and transmitted fields are obtained for an arbitrary incident pulse, and detailed examinations of these fields are made when the incident field is a finite-cycle-sine function. The inversion integral for the time-dependent reflected field is expressed in terms of the pole contribution and branch-cut integrals, whereas the uniform asymptotic methodology of Oughstun and Sherman [J. Opt. Soc. Am. A 6, 1394 (1989)] is applied to the transmitted field. Only the contribution from the distant saddle points to the transmitted field is studied in detail. An example is provided that shows that the effects of including the reflection and transmission coefficients may not be ignored when microwave or optical pulses are launched across the interface. Specifically, for Brillouin's choice of the medium's physical parameters, the reflected field has a peak value that is 21% of the incident field's amplitude and that corresponds th a 21% decrease in the main signal (pole contribution) of the transmitted field when the transmission coefficient is unity. This study extends past analytical formulations of the one-dimensional problem by conducting an in-depth analysis of the reflected field for a normally incident finite-cycle-sine wave and by addressing how inclusion of frequency-dependent transmission and reflection coefficients affects the fields. In particular, situations for which the effect of the frequency-dependent transmission and reflection coefficients is significant are discussed. Finally, the analysis of the reflected field should be useful for diagnostic purposes.
机译：解析地研究了垂直入射的电磁平面波在各向同性，空间均匀的洛伦兹半空间上的一维传播。对于任意入射脉冲，获得了随时间变化的反射和透射场的傅立叶积分表示，并且当入射场是有限周期正弦函数时，将对这些场进行详细检查。随时间变化的反射场的反演积分用极点贡献和切分积分表示，而Oughstun和Sherman的统一渐近方法[J．选择。 Soc。上午。 6，1394（1989）]被应用于发射场。仅详细研究了从远距离鞍点到透射场的贡献。提供了一个示例，该示例显示当跨界面发射微波或光脉冲时，可能会忽略包括反射系数和透射系数的影响。具体而言，对于布里渊选择介质的物理参数，反射场的峰值为入射场幅度的21％，对应于传输时传输场的主信号（极点贡献）下降21％系数是统一的。这项研究通过对法向入射的有限周期正弦波的反射场进行深入分析，并解决包括频率相关的传输和反射系数对场的影响，扩展了过去一维问题的分析公式。特别地，讨论了频率相关的透射和反射系数的影响显着的情况。最后，对反射场的分析应有助于诊断。

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