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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 28, Iss. 5 — May. 1, 2011
  • pp: 1037–1042

Designing feasible optical devices via conformal mapping

Kan Yao and Xunya Jiang  »View Author Affiliations

JOSA B, Vol. 28, Issue 5, pp. 1037-1042 (2011)

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Transformation optics have developed rapidly in recent years as a novel method to control the propagation of electromagnetic waves or light rays, while conformal mapping is a powerful tool used for decades solving problems in fields. In this paper, following the similarity of both methods on manipulating coordinate meshes, we design transformation optical devices with the help of applications of conformal mapping, e.g., steady state heat transfer and electrostatics. We propose an isotropic optical lens, which transforms a radiating line source into a directional antenna, and both full-wave simulations and geometric interpretations are presented. We also give an alternative derivation of the isotropic waveguide bends, which shows a clear picture from the viewpoint of transformation. All the refractive indices we obtain are larger than one, implying feasibility and broadband property. Using the analog between different physical problems may provide a simple way to design feasible optical devices.

© 2011 Optical Society of America

OCIS Codes
(110.2760) Imaging systems : Gradient-index lenses
(230.7370) Optical devices : Waveguides
(160.3918) Materials : Metamaterials
(080.5692) Geometric optics : Ray trajectories in inhomogeneous media
(260.2710) Physical optics : Inhomogeneous optical media

ToC Category:
Optical Devices

Original Manuscript: January 25, 2011
Manuscript Accepted: February 21, 2011
Published: April 12, 2011

Kan Yao and Xunya Jiang, "Designing feasible optical devices via conformal mapping," J. Opt. Soc. Am. B 28, 1037-1042 (2011)

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