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

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Errata

Jari Turunen, "Form-birefringence limits of Fourier-expansion methods in grating theory: errata," J. Opt. Soc. Am. A 14, 2317-2322 (1997)
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-14-9-2317

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