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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. 13, Iss. 5 — May. 1, 1996
  • pp: 1013–1018

Form-birefringence limits of Fourier-expansion methods in grating theory

Jari Turunen  »View Author Affiliations


JOSA A, Vol. 13, Issue 5, pp. 1013-1018 (1996)
http://dx.doi.org/10.1364/JOSAA.13.001013


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Abstract

Standard formulations of rigorous Fourier-expansion analysis methods of lamellar gratings reduce, irrespective of the state of polarization, to the TE result of the lowest-order theory of form birefringence when only the zeroth-order terms are retained in the field and permittivity expansions. A reformulation is presented that reduces to the correct form-birefringence result also in the TM case. Expressions are given for the effective relative permittivities eff of a subwavelength-period grating with an arbitrary relative-permittivity profile r(x): the lowest-order approximation for eff is given by the zeroth-order Fourier coefficient of r(x) in TE polarization and of 1/r(x) in TM polarization.

© 1996 Optical Society of America

History
Original Manuscript: July 14, 1995
Revised Manuscript: October 23, 1995
Manuscript Accepted: October 30, 1995
Published: May 1, 1996

Citation
Jari Turunen, "Form-birefringence limits of Fourier-expansion methods in grating theory," J. Opt. Soc. Am. A 13, 1013-1018 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-5-1013


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