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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. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3564–3572

Analytical investigation of one-dimensional magnetoelectric photonic crystals. The 2 × 2 matrix approach

K. A. Vytovtov and Yu. S. Tarasenko  »View Author Affiliations


JOSA A, Vol. 24, Issue 11, pp. 3564-3572 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003564


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Abstract

The wave behavior within a one-dimensional magnetoelectric photonic crystal is studied. A very simple, accurate analytical method of investigating the wave transmission along an arbitrary direction is developed. The method is based on the 2 × 2 translation matrix instead of the well-known 4 × 4 matrices. The TE- and TM-wave decomposition of a total wave in a one-dimensional magnetoelectric stack is presented in an accurate analytical form, to our knowledge for the first time, and the physical interpretation of the translation matrix determinant is given, also as far as we know for the first time.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.3870) General : Mathematics
(080.2730) Geometric optics : Matrix methods in paraxial optics
(210.3820) Optical data storage : Magneto-optical materials
(260.1180) Physical optics : Crystal optics
(260.2110) Physical optics : Electromagnetic optics
(350.7420) Other areas of optics : Waves

ToC Category:
Physical Optics

History
Original Manuscript: July 26, 2007
Revised Manuscript: September 19, 2007
Manuscript Accepted: September 20, 2007
Published: October 23, 2007

Citation
K. A. Vytovtov and Yu. S. Tarasenko, "Analytical investigation of one-dimensional magnetoelectric photonic crystals. The 2×2 matrix approach," J. Opt. Soc. Am. A 24, 3564-3572 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-11-3564

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