Analytical treatment of two-dimensional photonic crystals with rectangular geometry

Inna Nusinsky; Amos A. Hardy

doi:10.1109/EEEI.2008.4736620

Analytical treatment of two-dimensional photonic crystals with rectangular geometry

Inna Nusinsky^*, Amos A. Hardy

^*Corresponding author for this work

Department of Electrical Engineering - Physical Eng.

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

The dispersion relation for two-dimensional photonic crystals with rectangular geometry is analyzed, using analytical techniques. Both E-polarization and H- polarization are considered. By comparing with accurate numerical calculations, we show that the presented approach, with its derived expressions, can be used as a good approximation for various photonic crystals with a wide range of parameters. The degenerate bands, anti-crossing effect and band gap creation can be analyzed, using the presented method. This approach provides not only a fast way for photonic crystal calculations, but also can be employed for investigating various physical effects, as well as for the design and analysis of new photonic crystal devices.

Original language	English
Title of host publication	2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008
Pages	679-683
Number of pages	5
DOIs	https://doi.org/10.1109/EEEI.2008.4736620
State	Published - 2008
Event	2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008 - Eilat, Israel Duration: 3 Dec 2008 → 5 Dec 2008

Publication series

Name	IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings

Conference

Conference	2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008
Country/Territory	Israel
City	Eilat
Period	3/12/08 → 5/12/08

Keywords

Optical components
Optical propagation
Optical propagation in nonhomogeneous media
Optics

Access to Document

10.1109/EEEI.2008.4736620

Cite this

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title = "Analytical treatment of two-dimensional photonic crystals with rectangular geometry",

abstract = "The dispersion relation for two-dimensional photonic crystals with rectangular geometry is analyzed, using analytical techniques. Both E-polarization and H- polarization are considered. By comparing with accurate numerical calculations, we show that the presented approach, with its derived expressions, can be used as a good approximation for various photonic crystals with a wide range of parameters. The degenerate bands, anti-crossing effect and band gap creation can be analyzed, using the presented method. This approach provides not only a fast way for photonic crystal calculations, but also can be employed for investigating various physical effects, as well as for the design and analysis of new photonic crystal devices.",

keywords = "Optical components, Optical propagation, Optical propagation in nonhomogeneous media, Optics",

author = "Inna Nusinsky and Hardy, \{Amos A.\}",

year = "2008",

doi = "10.1109/EEEI.2008.4736620",

language = "אנגלית",

isbn = "9781424424825",

series = "IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings",

pages = "679--683",

booktitle = "2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008",

note = "2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008 ; Conference date: 03-12-2008 Through 05-12-2008",

}

Nusinsky, I & Hardy, AA 2008, Analytical treatment of two-dimensional photonic crystals with rectangular geometry. in 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008., 4736620, IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings, pp. 679-683, 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008, Eilat, Israel, 3/12/08. https://doi.org/10.1109/EEEI.2008.4736620

Analytical treatment of two-dimensional photonic crystals with rectangular geometry. / Nusinsky, Inna; Hardy, Amos A.
2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008. 2008. p. 679-683 4736620 (IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Hardy, Amos A.

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AB - The dispersion relation for two-dimensional photonic crystals with rectangular geometry is analyzed, using analytical techniques. Both E-polarization and H- polarization are considered. By comparing with accurate numerical calculations, we show that the presented approach, with its derived expressions, can be used as a good approximation for various photonic crystals with a wide range of parameters. The degenerate bands, anti-crossing effect and band gap creation can be analyzed, using the presented method. This approach provides not only a fast way for photonic crystal calculations, but also can be employed for investigating various physical effects, as well as for the design and analysis of new photonic crystal devices.

KW - Optical components

KW - Optical propagation

KW - Optical propagation in nonhomogeneous media

KW - Optics

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T2 - 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008

Y2 - 3 December 2008 through 5 December 2008

ER -

Analytical treatment of two-dimensional photonic crystals with rectangular geometry

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Keywords

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