1D Photonic Crystals with a Sawtooth Refractive Index

2013/03/09 by G. V. Morozov, Morozov, G. V., D. W. L. Sprung +4
Physics and Astronomy · #FOS: Physical sciences #Optics (physics.optics) #Photonic Crystals and Applications #physics.optics

paper · pdf · doi:10.48550/arxiv.1303.2267

8 pages, 8 figures

arxiv created 2013/03/09 · openalex publication_date 2013/03/09 · arxiv updated 2013/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Exact analytical results (in terms of Bessel functions) for the bandgaps, reflectance, and transmittance of one-dimensional photonic crystals with a sawtooth refractive index profile on the period are derived for the first time. This extends a group of exactly solvable models of periodic refractive indices. The asymptotic approximations of the above exact results have been also obtained.

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