Temporal analog of Bragg gratings

Recently, scalar coupled-wave theory has been employed to analyze a medium with periodic time-varying permittivity, providing simple expressions and, consequently, straightforward insights into the parametric amplification mechanism. Here, we combine such an approach with the Möbius transformation m...

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Bibliographic Details
Published in:Optics letters 2023-09, Vol.48 (17), p.4500-4503
Main Authors: Koufidis, Stefanos Fr, Koutserimpas, Theodoros T., McCall, Martin W.
Format: Article
Language:English
Subjects:
Apodization
Bragg gratings
Geometric transformation
Optical measuring instruments
Permittivity
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Summary:Recently, scalar coupled-wave theory has been employed to analyze a medium with periodic time-varying permittivity, providing simple expressions and, consequently, straightforward insights into the parametric amplification mechanism. Here, we combine such an approach with the Möbius transformation method to investigate the dispersion and optical response of a finite “time-slab” of the aforementioned medium. We demonstrate the temporal analog of a Bragg grating, discuss the differences with its spatial counterpart, and examine nontrivial scenarios of the permittivity’s time-modulation, such as chirping and apodization. Furthermore, we propose a highly selective and, moreover, single-spatial-interface optical sensor, based on phase delineation.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.499359