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What is the Temporal Analog of Reflection and Refraction of Optical Beams?
Author(s) -
Brent W. Plansinis,
William R. Donaldson,
Govind P. Agrawal
Publication year - 2015
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.115.183901
Subject(s) - refraction , reflection (computer programming) , optics , physics , refractive index , pulse (music) , dispersion (optics) , boundary (topology) , boundary value problem , total internal reflection , total external reflection , mathematical analysis , mathematics , quantum mechanics , detector , computer science , programming language
It is shown numerically and analytically that when an optical pulse approaches a moving temporal boundary across which the refractive index changes, it undergoes a temporal equivalent of reflection and refraction of optical beams at a spatial boundary. The main difference is that the role of angles is played by changes in the frequency. The frequency dependence of the dispersion of the material in which the pulse is propagating plays a fundamental role in determining the frequency shifts experienced by the reflected and refracted pulses. Our analytic expressions for these frequency shifts allow us to find the condition under which an analog of total internal reflection may occur at the temporal boundary.

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