Theoretical analysis of Fresnel reflection and transmission in the presence of gain media
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Fresnel Reflection & Transmission ...
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Final Accepted Manuscript
Affiliation
College of Optical Sciences, The University of ArizonaIssue Date
2021-08-09
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Springer Science and Business Media LLCCitation
Mansuripur, M., & Jakobsen, P. K. (2021). Theoretical analysis of Fresnel reflection and transmission in the presence of gain media. Optical Review.Journal
Optical ReviewRights
© The Optical Society of Japan 2021.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
When a monochromatic electromagnetic plane-wave arrives at the flat interface between its transparent host (i.e., the incidence medium) and an amplifying (or gainy) second medium, the incident beam splits into a reflected wave and a transmitted wave. In general, there is a sign ambiguity in connection with the k-vector of the transmitted beam, which requires at the outset that one decide whether the transmitted beam should grow or decay as it recedes from the interface. The question has been posed and addressed most prominently in the context of incidence at large angles from a dielectric medium of high refractive index onto a gain medium of lower refractive index. Here, the relevant sign of the transmitted k-vector determines whether the evanescent-like waves within the gain medium exponentially grow or decay away from the interface. We examine this and related problems in a more general setting, where the incident beam is taken to be a finite-duration wavepacket whose footprint in the interfacial plane has a finite width. Cases of reflection from and transmission through a gainy slab of finite-thickness as well as those associated with a semi-infinite gain medium will be considered. The broadness of the spatiotemporal spectrum of our incident wavepacket demands that we develop a general strategy for deciding the signs of all the k-vectors that enter the gain medium. Such a strategy emerges from a consideration of the causality constraint that is naturally imposed on both the reflected and transmitted wavepackets. © 2021, The Optical Society of Japan.Note
12 month embargo; published: 09 August 2021ISSN
1340-6000EISSN
1349-9432Version
Final accepted manuscriptae974a485f413a2113503eed53cd6c53
10.1007/s10043-021-00690-4