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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. 15, Iss. 2 — Feb. 1, 1998
  • pp: 473–479

Four-wave coupled-mode theory of obliquely incident plane waves on waveguide diffraction gratings

N. Izhaky and A. Hardy  »View Author Affiliations


JOSA A, Vol. 15, Issue 2, pp. 473-479 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000473


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Abstract

Diffraction of plane waves, obliquely incident on a (waveguide) grating with infinitely long grooves, is analyzed with the four-wave coupled-mode theory (CMT). Unlike the ordinary analysis that considers only coupling between pairs (i.e., TE+↔TE, TE+↔TM, TM+↔TE, or TM+↔TM), the simultaneous interaction among these waves is properly accounted for. The field variation along the grating and the impulse response representation of the grating (reflectivity and transmission as functions of the plane-wave incidence angle) are calculated. Significant differences between the ordinary (two-wave) CMT and the four-wave CMT are observed over a wide range of incident angles.

© 1998 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(050.1950) Diffraction and gratings : Diffraction gratings
(230.7370) Optical devices : Waveguides
(300.2570) Spectroscopy : Four-wave mixing

Citation
N. Izhaky and A. Hardy, "Four-wave coupled-mode theory of obliquely incident plane waves on waveguide diffraction gratings," J. Opt. Soc. Am. A 15, 473-479 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-2-473

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