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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1989–1993

Infinite guided modes in a planar waveguide with a biaxially anisotropic metamaterial

Qiang Cheng and Tie Jun Cui  »View Author Affiliations


JOSA A, Vol. 23, Issue 8, pp. 1989-1993 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001989


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Abstract

We investigate in detail the guided modes in a two-layered planar waveguide where one layer is filled with an ordinary right-handed material (RHM) and the other is filled with a biaxially anisotropic metamaterial. We show that the mode properties are closely dependent on the spatial dispersion relation of the anisotropic medium. When the dispersion equation for the anisotropic medium becomes a two-sheet or a one-sheet hyperbola type, an infinite number of guided modes can be supported simultaneously in the waveguide, which is completely different from the cases of RHM and isotropic metamaterial. We also investigate the mode distributions of the planar waveguide in the lossy case, where we discover that the dominant mode in the waveguide is a forward wave while the higher-order modes are backward waves under the two-sheet hyperbolic dispersion. Numerical results validate our theoretical analysis.

© 2006 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(310.2790) Thin films : Guided waves

ToC Category:
Physical Optics

History
Original Manuscript: October 25, 2005
Revised Manuscript: January 2, 2006
Manuscript Accepted: February 18, 2006

Citation
Qiang Cheng and Tie Jun Cui, "Infinite guided modes in a planar waveguide with a biaxially anisotropic metamaterial," J. Opt. Soc. Am. A 23, 1989-1993 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-8-1989

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