1D Photonic Crystals with a Sawtooth Refractive Index
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2013
- DOI:
- 10.48550/arXiv.1303.2267
- arXiv:
- arXiv:1303.2267
- Bibcode:
- 2013arXiv1303.2267M
- Keywords:
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- Physics - Optics
- E-Print:
- 8 pages, 8 figures