A geometry-mode study on two-dimensional conformal transformations in electrostatics

Yong Zeng; Douglas Henry Werner

doi:10.1109/APS.2011.5997128

A geometry-mode study on two-dimensional conformal transformations in electrostatics

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

Abstract

Electrostatic properties of two-dimensional nanosystems can be described by their geometry modes. Moreover these modes and their corresponding eigenvalues are invariant under any conformal transformation. This invariance suggests an efficient way for studying transformed structures. Namely, transforming a geometry is equivalent to modifying the strengths of these invariant eigenmodes excited by external illumination.

Original language	English (US)
Title of host publication	2011 IEEE International Symposium on Antennas and Propagation - Proceedings
Pages	2879-2881
Number of pages	3
DOIs	https://doi.org/10.1109/APS.2011.5997128
State	Published - 2011
Event	2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011 - Spokane, WA, United States Duration: Jul 3 2011 → Jul 8 2011

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)	1522-3965

Other

Other	2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011
Country/Territory	United States
City	Spokane, WA
Period	7/3/11 → 7/8/11

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/APS.2011.5997128

Cite this

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title = "A geometry-mode study on two-dimensional conformal transformations in electrostatics",

abstract = "Electrostatic properties of two-dimensional nanosystems can be described by their geometry modes. Moreover these modes and their corresponding eigenvalues are invariant under any conformal transformation. This invariance suggests an efficient way for studying transformed structures. Namely, transforming a geometry is equivalent to modifying the strengths of these invariant eigenmodes excited by external illumination.",

author = "Yong Zeng and Werner, {Douglas Henry}",

year = "2011",

doi = "10.1109/APS.2011.5997128",

language = "English (US)",

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series = "IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)",

pages = "2879--2881",

booktitle = "2011 IEEE International Symposium on Antennas and Propagation - Proceedings",

note = "2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011 ; Conference date: 03-07-2011 Through 08-07-2011",

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Zeng, Y & Werner, DH 2011, A geometry-mode study on two-dimensional conformal transformations in electrostatics. in 2011 IEEE International Symposium on Antennas and Propagation - Proceedings., 5997128, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), pp. 2879-2881, 2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011, Spokane, WA, United States, 7/3/11. https://doi.org/10.1109/APS.2011.5997128

A geometry-mode study on two-dimensional conformal transformations in electrostatics. / Zeng, Yong; Werner, Douglas Henry.
2011 IEEE International Symposium on Antennas and Propagation - Proceedings. 2011. p. 2879-2881 5997128 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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

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AB - Electrostatic properties of two-dimensional nanosystems can be described by their geometry modes. Moreover these modes and their corresponding eigenvalues are invariant under any conformal transformation. This invariance suggests an efficient way for studying transformed structures. Namely, transforming a geometry is equivalent to modifying the strengths of these invariant eigenmodes excited by external illumination.

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A geometry-mode study on two-dimensional conformal transformations in electrostatics

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