Floquet-Bloch analysis of analytically solvable Hill equations with continuous potentials

Stuart Caffrey; G. V. Morozov; D. MacBeath; Donald W. L. Sprung

doi:10.1364/JOSAB.33.001190

Floquet-Bloch analysis of analytically solvable Hill equations with continuous potentials

Stuart Caffrey
, G. V. Morozov
, D. MacBeath
, Donald W. L. Sprung

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

6 Citations (Scopus)

279 Downloads (Pure)

Abstract

Exact analytical solutions of two Hill’s equations that have continuously differentiable coefficients are obtained in terms of the Floquet–Bloch fundamental system. New features of the band structures of those equations are reported and investigated.

Original language	English
Pages (from-to)	1190-1196
Number of pages	7
Journal	Journal of the Optical Society of America B
Volume	33
Issue number	6
DOIs	https://doi.org/10.1364/JOSAB.33.001190
Publication status	Published - 19 May 2016

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2016 04 20 Caffrey et al Floquet-Bloch acceptedAccepted author manuscript, 725 KB

Gregory Morozov
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title = "Floquet-Bloch analysis of analytically solvable Hill equations with continuous potentials",

abstract = "Exact analytical solutions of two Hill{\textquoteright}s equations that have continuously differentiable coefficients are obtained in terms of the Floquet–Bloch fundamental system. New features of the band structures of those equations are reported and investigated.",

author = "Stuart Caffrey and Morozov, \{G. V.\} and D. MacBeath and Sprung, \{Donald W. L.\}",

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T1 - Floquet-Bloch analysis of analytically solvable Hill equations with continuous potentials

AU - Caffrey, Stuart

AU - Morozov, G. V.

AU - MacBeath, D.

AU - Sprung, Donald W. L.

PY - 2016/5/19

Y1 - 2016/5/19

N2 - Exact analytical solutions of two Hill’s equations that have continuously differentiable coefficients are obtained in terms of the Floquet–Bloch fundamental system. New features of the band structures of those equations are reported and investigated.

AB - Exact analytical solutions of two Hill’s equations that have continuously differentiable coefficients are obtained in terms of the Floquet–Bloch fundamental system. New features of the band structures of those equations are reported and investigated.

U2 - 10.1364/JOSAB.33.001190

DO - 10.1364/JOSAB.33.001190

M3 - Article

VL - 33

SP - 1190

EP - 1196

JO - Journal of the Optical Society of America B

JF - Journal of the Optical Society of America B

IS - 6

ER -

Floquet-Bloch analysis of analytically solvable Hill equations with continuous potentials

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Gregory Morozov

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