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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 13 — May. 1, 2000
  • pp: 2071–2077

Anisotropic incoherent reflection model for spectroscopic ellipsometry of a thick semitransparent anisotropic substrate

Razvigor Ossikovski, Morten Kildemo, Michel Stchakovsky, and Marcus Mooney  »View Author Affiliations


Applied Optics, Vol. 39, Issue 13, pp. 2071-2077 (2000)
http://dx.doi.org/10.1364/AO.39.002071


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Abstract

An anisotropic incoherent reflection model for the Mueller matrix elements of an optically thick uniaxial anisotropic semitransparent substrate with its anisotropy axis along its surface normal is developed. The Mueller matrix elements are measured by phase-modulated spectroscopic ellipsometry (SE) and compared with incoherent reflection model simulations. In the case of a sapphire substrate the oscillations observed are accurately modeled, and, in addition, the oscillating degree of polarization is correctly predicted. A straightforward generalization of the optical model, in the case of an arbitrary stack of layers containing a thick anisotropic semitransparent substrate, is also proposed and experimentally validated. The model is further applied to study the anisotropic dielectric function of a semi-insulating 4H-SiC wafer. An approximation based on a simple variation in the optical transition element is proposed to model the SiC birefringence. In conclusion, SE is shown to be a powerful alternative for investigating and predicting the behavior of optically thick birefringent materials.

© 2000 Optical Society of America

OCIS Codes
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(160.4760) Materials : Optical properties
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(310.6860) Thin films : Thin films, optical properties

History
Original Manuscript: August 30, 1999
Revised Manuscript: December 8, 1999
Published: May 1, 2000

Citation
Razvigor Ossikovski, Morten Kildemo, Michel Stchakovsky, and Marcus Mooney, "Anisotropic incoherent reflection model for spectroscopic ellipsometry of a thick semitransparent anisotropic substrate," Appl. Opt. 39, 2071-2077 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-13-2071


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