Title :
A geometry-mode study on two-dimensional conformal transformations in electrostatics
Author :
Zeng, Yong ; Werner, Douglas H.
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
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.
Keywords :
eigenvalues and eigenfunctions; electrostatics; geometry; eigenvalues; electrostatic properties; geometry modes; invariant eigenmodes; two dimensional conformal transformations; Eigenvalues and eigenfunctions; Electrostatics; Equations; Geometry; Optics; Plasmons; Slabs; Conformal transformation; Geometry mode;
Conference_Titel :
Antennas and Propagation (APSURSI), 2011 IEEE International Symposium on
Conference_Location :
Spokane, WA
Print_ISBN :
978-1-4244-9562-7
DOI :
10.1109/APS.2011.5997128
