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 journalArticle

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 languageEnglish
Article number103009
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - 8 Oct 2013

Cite this

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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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One-dimensional photonic crystals with a sawtooth refractive index : another exactly solvable potential. / Morozov, G. V.; Sprung, D. W. L.; Martorell, J.

In: New Journal of Physics, Vol. 15, 103009, 08.10.2013.

Research output: Contribution to journalArticle

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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.

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