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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 5 — May. 1, 2008
  • pp: 777–784

Modified form birefringence in periodic multilayer structures including uniaxial anisotropic materials

Yann G. Boucher, Judikaël Le Rouzo, Isabelle Ribet-Mohamed, and Riad Haïdar  »View Author Affiliations

JOSA B, Vol. 25, Issue 5, pp. 777-784 (2008)

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We use transfer matrix formalism to investigate periodic multilayer structures including uniaxial anisotropic materials in the specific case where the optical z axis is normal to the layer interfaces. Having decoupled the problem into two independent states of polarization, we first derive a universal transfer matrix for the unit cell of an arbitrary bilayer (z uniaxial–z uniaxial or z uniaxial–isotropic), and then determine the effective indices in the long-wavelength limit through a homogenization procedure. A graphic representation illustrates the analytical results in terms of generalized filling factors. The procedure is also generalized to n-ary stacks.

© 2008 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(260.2065) Physical optics : Effective medium theory

ToC Category:

Original Manuscript: December 17, 2007
Manuscript Accepted: January 28, 2008
Published: April 25, 2008

Yann G. Boucher, Judikaël Le Rouzo, Isabelle Ribet-Mohamed, and Riad Haïdar, "Modified form birefringence in periodic multilayer structures including uniaxial anisotropic materials," J. Opt. Soc. Am. B 25, 777-784 (2008)

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