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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. 6, Iss. 12 — Dec. 1, 1989
  • pp: 1869–1883

Rigorous formulation of scattering and guidance by dielectric grating waveguides: general case of oblique incidence

S. T. Peng  »View Author Affiliations


JOSA A, Vol. 6, Issue 12, pp. 1869-1883 (1989)
http://dx.doi.org/10.1364/JOSAA.6.001869


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Abstract

First a rigorous formulation is presented for the scattering of a uniform plane wave by an infinite dielectric grating waveguide, under the most general condition of oblique incidence. The results are then applied to the analysis of the guidance of waves by the dielectric grating waveguide. By using a simple coordinate rotation, the TE and TM Floquet mode functions determined previously for the special case of principal-plane incidence are combined to treat the general case of oblique incidence. In terms of the coupling between the known Floquet mode functions of both polarizations, the general case of oblique incidence is formulated in an exact fashion, as a three-dimensional boundary-value problem, so that the hybrid nature of waves supported by the structure can be investigated rigorously.

© 1989 Optical Society of America

History
Original Manuscript: April 27, 1989
Manuscript Accepted: July 7, 1989
Published: December 1, 1989

Citation
S. T. Peng, "Rigorous formulation of scattering and guidance by dielectric grating waveguides: general case of oblique incidence," J. Opt. Soc. Am. A 6, 1869-1883 (1989)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-6-12-1869

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