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

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

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 model...

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Veröffentlicht in:New journal of physics 2013-10, Vol.15 (10), p.103009-19
Hauptverfasser: Morozov, G V, Sprung, D W L, Martorell, J
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Asymptotic properties
Mathematical analysis
Photonic band gaps
Photonic crystals
Reflectivity
Refractive index
Refractivity
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Zusammenfassung: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.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/15/10/103009