Photonic Band Structure of Dispersive Metamaterials Formulated as a Hermitian Eigenvalue Problem

Aaswath Raman; Shanhui Fan

doi:10.1103/PhysRevLett.104.087401

Photonic Band Structure of Dispersive Metamaterials Formulated as a Hermitian Eigenvalue Problem

Aaswath Raman, Shanhui Fan

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

160 Scopus citations

Abstract

We formulate the photonic band structure calculation of any lossless dispersive photonic crystal and optical metamaterial as a Hermitian eigenvalue problem. We further show that the eigenmodes of such lossless systems provide an orthonormal basis, which can be used to rigorously describe the behavior of lossy dispersive systems in general. © 2010 The American Physical Society.

Original language	English (US)
Journal	Physical Review Letters
Volume	104
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevLett.104.087401
State	Published - Feb 26 2010
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported by the Center for Advanced Molecular Photovoltaics (CAMP) ( Grant No. KUSC1-015-21), made by King Abdullah University of Science and Technology (KAUST), and by DOE Grant No. DE-FG02-07ER46426.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1103/PhysRevLett.104.087401

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title = "Photonic Band Structure of Dispersive Metamaterials Formulated as a Hermitian Eigenvalue Problem",

abstract = "We formulate the photonic band structure calculation of any lossless dispersive photonic crystal and optical metamaterial as a Hermitian eigenvalue problem. We further show that the eigenmodes of such lossless systems provide an orthonormal basis, which can be used to rigorously describe the behavior of lossy dispersive systems in general. {\textcopyright} 2010 The American Physical Society.",

author = "Aaswath Raman and Shanhui Fan",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported by the Center for Advanced Molecular Photovoltaics (CAMP) ( Grant No. KUSC1-015-21), made by King Abdullah University of Science and Technology (KAUST), and by DOE Grant No. DE-FG02-07ER46426. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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AU - Fan, Shanhui

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N2 - We formulate the photonic band structure calculation of any lossless dispersive photonic crystal and optical metamaterial as a Hermitian eigenvalue problem. We further show that the eigenmodes of such lossless systems provide an orthonormal basis, which can be used to rigorously describe the behavior of lossy dispersive systems in general. © 2010 The American Physical Society.

AB - We formulate the photonic band structure calculation of any lossless dispersive photonic crystal and optical metamaterial as a Hermitian eigenvalue problem. We further show that the eigenmodes of such lossless systems provide an orthonormal basis, which can be used to rigorously describe the behavior of lossy dispersive systems in general. © 2010 The American Physical Society.

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JO - Physical Review Letters

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Photonic Band Structure of Dispersive Metamaterials Formulated as a Hermitian Eigenvalue Problem

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