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Applied Optics

Applied Optics


  • Vol. 41, Iss. 4 — Feb. 1, 2002
  • pp: 747–755

Omnidirectional reflection from finite periodic and Fibonacci quasi-periodic multilayers of alternating isotropic and birefringent thin films

E. Cojocaru  »View Author Affiliations

Applied Optics, Vol. 41, Issue 4, pp. 747-755 (2002)

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Omnidirectional reflection from periodic and Fibonacci quasi-periodic multilayers that are embedded in an isotropic medium is further analyzed. Besides the isotropic structures, birefringent structures are considered that comprise uniaxial layers in the principal-axis system, alternating with isotropic layers so that the refractive index of isotropic layers is equal to the principal extraordinary refractive index of the uniaxial layers. The transfer-matrix method is applied, and the same formalism is used for both the isotropic and the uniaxial media in the principal-axis system. Simple and original relations are obtained for the invariant of the one-dimensional Fibonacci sequences at oblique incidence. Numerical examples are given comparatively for the isotropic and the birefringent structures in the case of periodic and Fibonacci quasi-periodic sequences at different values of the refractive indices.

© 2002 Optical Society of America

OCIS Codes
(160.5470) Materials : Polymers
(230.4170) Optical devices : Multilayers
(240.7040) Optics at surfaces : Tunneling
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(310.0310) Thin films : Thin films

Original Manuscript: March 23, 2001
Revised Manuscript: July 20, 2001
Published: February 1, 2002

E. Cojocaru, "Omnidirectional reflection from finite periodic and Fibonacci quasi-periodic multilayers of alternating isotropic and birefringent thin films," Appl. Opt. 41, 747-755 (2002)

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