Temporal reflection and refraction of optical pulses inside a dispersive medium: an analytic approach

Temporal reflection and refraction of optical pulses inside a dispersive medium: an analytic approach
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DOI:
10.1364/josab.416058
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发表时间:
2021-02
期刊:
Journal of the Optical Society of America B
影响因子:
--
通讯作者:
Junchi Zhang;W. Donaldson;G. Agrawal
Junchi Zhang;W. Donaldson;G. Agrawal
中科院分区:
其他
文献类型:
--
作者:
Junchi Zhang;W. Donaldson;G. Agrawal

文献摘要

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我们开发了一种分析方法,在色散介质内的时间边界处的光的反射,并推导出频率依赖的反射和透射系数的表达式。使用解析结果,我们研究了光脉冲的时间反射,并表明我们的结果完全同意与以前使用的数值方法。我们的方法提供了近似的解析表达式的反射和透射脉冲的电场。尽管发射脉冲的宽度被修改,但反射脉冲是入射脉冲的镜像版本。当入射光谱的一部分位于全内反射区域时,反射和透射脉冲都发生了相当大的畸变。
We develop an analytic approach for reflection of light at a temporal boundary inside a dispersive medium and derive frequency-dependent expressions for the reflection and transmission coefficients. Using the analytic results, we study the temporal reflection of an optical pulse and show that our results agree fully with a numerical approach used earlier. Our approach provides approximate analytic expressions for the electric fields of the reflected and transmitted pulses. Whereas the width of the transmitted pulse is modified, the reflected pulse is a mirrored version of the incident pulse. When a part of the incident spectrum lies in the region of total internal reflection, both the reflected and transmitted pulses are distorted considerably.