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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

  • Vol. 18, Iss. 12 — Dec. 1, 2001
  • pp: 3119–3129

Reflection and refraction of an arbitrary electromagnetic wave at a plane interface separating an isotropic and a biaxial medium

Jakob J. Stamnes and Glen S. Sithambaranathan  »View Author Affiliations


JOSA A, Vol. 18, Issue 12, pp. 3119-3129 (2001)
http://dx.doi.org/10.1364/JOSAA.18.003119


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Abstract

Exact solutions are obtained for the reflected and transmitted fields resulting when an arbitrary electromagnetic field is incident on a plane interface separating an isotropic medium and a biaxially anisotropic medium in which one of the principal axes is along the interface normal. From our exact solutions for the reflected fields resulting when a plane TE or TM wave is incident on the plane interface, it can be inferred that the reflected field contains both a TE and a TM component. This gives a change in polarization that can be utilized to determine the properties of the biaxial medium. The time-harmonic solution for the reflected field is in the form of two quadruple integrals, one of which is a superposition of plane waves polarized perpendicular to the plane of incidence and the other a superposition of plane waves polarized parallel to the plane of incidence. The time-harmonic solution for the transmitted field is also in the form of two quadruple integrals. Each of these is a superposition of extraordinary plane waves with displacement vectors that are perpendicular to the direction of phase propagation.

© 2001 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: January 10, 2001
Revised Manuscript: April 16, 2001
Manuscript Accepted: May 7, 2001
Published: December 1, 2001

Citation
Jakob J. Stamnes and Glen S. Sithambaranathan, "Reflection and refraction of an arbitrary electromagnetic wave at a plane interface separating an isotropic and a biaxial medium," J. Opt. Soc. Am. A 18, 3119-3129 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-12-3119


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