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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 16 — Aug. 1, 2011
  • pp: 15119–15126

General conformal transformation method based on Schwarz-Christoffel approach

Linlong Tang, Jinchan Yin, Guishan Yuan, Jinglei Du, Hongtao Gao, Xiaochun Dong, Yueguang Lu, and Chunlei Du  »View Author Affiliations

Optics Express, Vol. 19, Issue 16, pp. 15119-15126 (2011)

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A general conformal transformation method (CTM) is proposed to construct the conformal mapping between two irregular geometries. In order to find the material parameters corresponding to the conformal transformation between two irregular geometries, two polygons are utilized to approximate the two irregular geometries, and an intermediate geometry is used to connect the mapping relations between the two polygons. Based on these manipulations, the approximate material parameters for TE and TM waves are finally obtained by calculating the Schwarz-Christoffel (SC) mappings. To demonstrate the validity of the method, a phase modulator and a plane focal surface Luneburg lens are designed and simulated by the finite element method. The results show that the conformal transformation can be expanded to the cases that the transformed objects are with irregular geometries.

© 2011 OSA

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(230.0230) Optical devices : Optical devices
(260.2110) Physical optics : Electromagnetic optics
(260.2710) Physical optics : Inhomogeneous optical media

ToC Category:
Physical Optics

Original Manuscript: May 10, 2011
Revised Manuscript: June 24, 2011
Manuscript Accepted: June 26, 2011
Published: July 21, 2011

Linlong Tang, Jinchan Yin, Guishan Yuan, Jinglei Du, Hongtao Gao, Xiaochun Dong, Yueguang Lu, and Chunlei Du, "General conformal transformation method based on Schwarz-Christoffel approach," Opt. Express 19, 15119-15126 (2011)

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