Floquet multipliers for Bloch waves in absorptive and non-absorptive photonic crystals

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Floquet multipliers are analysed for the Bloch waves representing light propagation in both absorptive and non-absorptive one-dimensional photonic crystals. In particular, the dependence of the multipliers in the complex plane on frequency (wavenumber) of the propagating light is studied. As a result, the ambiguity in assigning a proper multiplier to the direct/backward Bloch wave in the allowed bands of non-absorptive crystals is resolved. The results will serve to clarify the relation between the Bloch wavenumber and the multipliers. This facilitates a proper parameterization of the transfer matrix for absorptive crystals, as well as for the bandgaps of non-absorptive crystals.
Original languageEnglish
Title of host publication16th International Conference on Transparent Optical Networks (ICTON), 2014
PublisherIEEE
Number of pages4
ISBN (Electronic)978-1-4799-5601-2
DOIs
Publication statusPublished - 14 Aug 2014

Publication series

Name
PublisherIEEE
ISSN (Electronic)2161-2064

Fingerprint

multipliers
photonics
crystals
parameterization
ambiguity
propagation

Keywords

  • photonic crystals with absorption
  • Bloch waves
  • Floquet multipliers

Cite this

Morozov, G. V., & Sprung, D. W. L. (2014). Floquet multipliers for Bloch waves in absorptive and non-absorptive photonic crystals. In 16th International Conference on Transparent Optical Networks (ICTON), 2014 [We.D6.2] IEEE. https://doi.org/10.1109/ICTON.2014.6876625
Morozov, G.V. ; Sprung, D.W.L. / Floquet multipliers for Bloch waves in absorptive and non-absorptive photonic crystals. 16th International Conference on Transparent Optical Networks (ICTON), 2014 . IEEE, 2014.
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abstract = "Floquet multipliers are analysed for the Bloch waves representing light propagation in both absorptive and non-absorptive one-dimensional photonic crystals. In particular, the dependence of the multipliers in the complex plane on frequency (wavenumber) of the propagating light is studied. As a result, the ambiguity in assigning a proper multiplier to the direct/backward Bloch wave in the allowed bands of non-absorptive crystals is resolved. The results will serve to clarify the relation between the Bloch wavenumber and the multipliers. This facilitates a proper parameterization of the transfer matrix for absorptive crystals, as well as for the bandgaps of non-absorptive crystals.",
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Morozov, GV & Sprung, DWL 2014, Floquet multipliers for Bloch waves in absorptive and non-absorptive photonic crystals. in 16th International Conference on Transparent Optical Networks (ICTON), 2014 ., We.D6.2, IEEE. https://doi.org/10.1109/ICTON.2014.6876625

Floquet multipliers for Bloch waves in absorptive and non-absorptive photonic crystals. / Morozov, G.V.; Sprung, D.W.L.

16th International Conference on Transparent Optical Networks (ICTON), 2014 . IEEE, 2014. We.D6.2.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Floquet multipliers for Bloch waves in absorptive and non-absorptive photonic crystals

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AU - Sprung, D.W.L.

PY - 2014/8/14

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N2 - Floquet multipliers are analysed for the Bloch waves representing light propagation in both absorptive and non-absorptive one-dimensional photonic crystals. In particular, the dependence of the multipliers in the complex plane on frequency (wavenumber) of the propagating light is studied. As a result, the ambiguity in assigning a proper multiplier to the direct/backward Bloch wave in the allowed bands of non-absorptive crystals is resolved. The results will serve to clarify the relation between the Bloch wavenumber and the multipliers. This facilitates a proper parameterization of the transfer matrix for absorptive crystals, as well as for the bandgaps of non-absorptive crystals.

AB - Floquet multipliers are analysed for the Bloch waves representing light propagation in both absorptive and non-absorptive one-dimensional photonic crystals. In particular, the dependence of the multipliers in the complex plane on frequency (wavenumber) of the propagating light is studied. As a result, the ambiguity in assigning a proper multiplier to the direct/backward Bloch wave in the allowed bands of non-absorptive crystals is resolved. The results will serve to clarify the relation between the Bloch wavenumber and the multipliers. This facilitates a proper parameterization of the transfer matrix for absorptive crystals, as well as for the bandgaps of non-absorptive crystals.

KW - photonic crystals with absorption

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Morozov GV, Sprung DWL. Floquet multipliers for Bloch waves in absorptive and non-absorptive photonic crystals. In 16th International Conference on Transparent Optical Networks (ICTON), 2014 . IEEE. 2014. We.D6.2 https://doi.org/10.1109/ICTON.2014.6876625