One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential

G. V. Morozov; D. W. L. Sprung; J. Martorell

doi:10.1088/1367-2630/15/10/103009

One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential

G. V. Morozov, D. W. L. Sprung, J. Martorell

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

Exact analytical results expressed 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, to our knowledge for the first time. This extends the set of exactly solvable models with periodic refractive indices. Asymptotic approximations to the above exact results have been also obtained.

Original language	English
Article number	103009
Journal	New Journal of Physics
Volume	15
DOIs	https://doi.org/10.1088/1367-2630/15/10/103009
Publication status	Published - 8 Oct 2013

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10.1088/1367-2630/15/10/103009Licence: CC BY

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title = "One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential",

abstract = "Exact analytical results expressed 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, to our knowledge for the first time. This extends the set of exactly solvable models with periodic refractive indices. Asymptotic approximations to the above exact results have been also obtained.",

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AU - Morozov, G. V.

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AU - Martorell, J.

PY - 2013/10/8

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N2 - Exact analytical results expressed 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, to our knowledge for the first time. This extends the set of exactly solvable models with periodic refractive indices. Asymptotic approximations to the above exact results have been also obtained.

AB - Exact analytical results expressed 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, to our knowledge for the first time. This extends the set of exactly solvable models with periodic refractive indices. Asymptotic approximations to the above exact results have been also obtained.

U2 - 10.1088/1367-2630/15/10/103009

DO - 10.1088/1367-2630/15/10/103009

M3 - Article

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VL - 15

JO - New Journal of Physics

JF - New Journal of Physics

M1 - 103009

ER -

One-dimensional photonic crystals with a sawtooth refractive index: another exactly solvable potential

Abstract

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