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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 18, Iss. 21 — Nov. 1, 1979
  • pp: 3620–3626

Second- and higher-order waveguide grating filters. 1: Theory

A. Basu and J. M. Ballantyne  »View Author Affiliations


Applied Optics, Vol. 18, Issue 21, pp. 3620-3626 (1979)
http://dx.doi.org/10.1364/AO.18.003620


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Abstract

A study of second- and higher-order waveguide grating filters is considerably complicated by the fact that the coupling between the guided waves and the radiated waves has to be taken into account. In this paper, we review the theoretical calculations of the spectral response of these grating filters that have been reported by several authors and present a new approach based on the use of the Green’s functions of the waveguide structure. Excellent agreement is found between the results of our method of calculation and the results of other, more rigorous but much more complicated, methods. The Green’s function method is thus a reasonably simple but fairly accurate method for calculating the spectral response of grating filters.

© 1979 Optical Society of America

History
Original Manuscript: June 1, 1979
Published: November 1, 1979

Citation
A. Basu and J. M. Ballantyne, "Second- and higher-order waveguide grating filters. 1: Theory," Appl. Opt. 18, 3620-3626 (1979)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-18-21-3620

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