Computation of complex band structures and transmission spectra of 2-d photonic crystals using a layer-kkr method

K. M. Leung; Y. Qiu

doi:10.1080/02726349908908646

Computation of complex band structures and transmission spectra of 2-d photonic crystals using a layer-kkr method

K. M. Leung, Y. Qiu

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

Abstract

The photonic band structures of 2-D photonic crystals consisting of cylindrical dielectric rods on a square and on a triangular lattice are computed by a layer-KKR method. The matrices involved in the present method are substantially smaller than those required for the plane-wave method. Unlike the KKR method, a root searching procedure is not needed. In addition, with this method, the attenuation lengths for frequencies within the forbidden bands are computed together with the band structure. Reflection and transmission characteristics of crystals of finite thicknesses, as well as defective and composite crystals, are also computed.

Original language	English (US)
Pages (from-to)	305-319
Number of pages	15
Journal	Electromagnetics
Volume	19
Issue number	3
DOIs	https://doi.org/10.1080/02726349908908646
State	Published - 1999

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Radiation
Electrical and Electronic Engineering

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title = "Computation of complex band structures and transmission spectra of 2-d photonic crystals using a layer-kkr method",

abstract = "The photonic band structures of 2-D photonic crystals consisting of cylindrical dielectric rods on a square and on a triangular lattice are computed by a layer-KKR method. The matrices involved in the present method are substantially smaller than those required for the plane-wave method. Unlike the KKR method, a root searching procedure is not needed. In addition, with this method, the attenuation lengths for frequencies within the forbidden bands are computed together with the band structure. Reflection and transmission characteristics of crystals of finite thicknesses, as well as defective and composite crystals, are also computed.",

author = "Leung, {K. M.} and Y. Qiu",

note = "Funding Information: ACKNOWLEDGMENTS:- One of the authors (KML) wants to thank Prof. Nathan Marcuvitz for making him aware of the work which appeared in the 1956 memorandum. Partial support of this research has been provided by the ARO under Grant No. DAAH0496-1-0389.",

year = "1999",

doi = "10.1080/02726349908908646",

language = "English (US)",

volume = "19",

pages = "305--319",

journal = "Electromagnetics",

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publisher = "Taylor and Francis Ltd.",

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T1 - Computation of complex band structures and transmission spectra of 2-d photonic crystals using a layer-kkr method

AU - Leung, K. M.

AU - Qiu, Y.

N1 - Funding Information: ACKNOWLEDGMENTS:- One of the authors (KML) wants to thank Prof. Nathan Marcuvitz for making him aware of the work which appeared in the 1956 memorandum. Partial support of this research has been provided by the ARO under Grant No. DAAH0496-1-0389.

PY - 1999

Y1 - 1999

N2 - The photonic band structures of 2-D photonic crystals consisting of cylindrical dielectric rods on a square and on a triangular lattice are computed by a layer-KKR method. The matrices involved in the present method are substantially smaller than those required for the plane-wave method. Unlike the KKR method, a root searching procedure is not needed. In addition, with this method, the attenuation lengths for frequencies within the forbidden bands are computed together with the band structure. Reflection and transmission characteristics of crystals of finite thicknesses, as well as defective and composite crystals, are also computed.

AB - The photonic band structures of 2-D photonic crystals consisting of cylindrical dielectric rods on a square and on a triangular lattice are computed by a layer-KKR method. The matrices involved in the present method are substantially smaller than those required for the plane-wave method. Unlike the KKR method, a root searching procedure is not needed. In addition, with this method, the attenuation lengths for frequencies within the forbidden bands are computed together with the band structure. Reflection and transmission characteristics of crystals of finite thicknesses, as well as defective and composite crystals, are also computed.

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JO - Electromagnetics

JF - Electromagnetics

IS - 3

ER -

Computation of complex band structures and transmission spectra of 2-d photonic crystals using a layer-kkr method

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