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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2011 IEEE International Symposium on Antennas and Propagation - Proceedings
Pages2879-2881
Number of pages3
DOIs
StatePublished - Nov 1 2011
Event2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011 - Spokane, WA, United States
Duration: Jul 3 2011Jul 8 2011

Other

Other2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011
CountryUnited States
CitySpokane, WA
Period7/3/117/8/11

Fingerprint

Electrostatics
Nanosystems
Geometry
Invariance
Lighting

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Zeng, Y., & Werner, D. H. (2011). A geometry-mode study on two-dimensional conformal transformations in electrostatics. In 2011 IEEE International Symposium on Antennas and Propagation - Proceedings (pp. 2879-2881). [5997128] https://doi.org/10.1109/APS.2011.5997128
Zeng, Yong ; Werner, Douglas Henry. / A geometry-mode study on two-dimensional conformal transformations in electrostatics. 2011 IEEE International Symposium on Antennas and Propagation - Proceedings. 2011. pp. 2879-2881
@inproceedings{51e9474feea1403c915a97c1e8ead12c,
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",
month = "11",
day = "1",
doi = "10.1109/APS.2011.5997128",
language = "English (US)",
isbn = "9781424495634",
pages = "2879--2881",
booktitle = "2011 IEEE International Symposium on Antennas and Propagation - Proceedings",

}

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, 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.

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

TY - GEN

T1 - A geometry-mode study on two-dimensional conformal transformations in electrostatics

AU - Zeng, Yong

AU - Werner, Douglas Henry

PY - 2011/11/1

Y1 - 2011/11/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=80054968211&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80054968211&partnerID=8YFLogxK

U2 - 10.1109/APS.2011.5997128

DO - 10.1109/APS.2011.5997128

M3 - Conference contribution

AN - SCOPUS:80054968211

SN - 9781424495634

SP - 2879

EP - 2881

BT - 2011 IEEE International Symposium on Antennas and Propagation - Proceedings

ER -

Zeng Y, Werner DH. A geometry-mode study on two-dimensional conformal transformations in electrostatics. In 2011 IEEE International Symposium on Antennas and Propagation - Proceedings. 2011. p. 2879-2881. 5997128 https://doi.org/10.1109/APS.2011.5997128