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Exact analytical and approximate analyses of Bragg reflectors with nonrectangular index profiles.

Authors
  • Adams, D M
  • Makino, T
  • Simmons, J G
Type
Published Article
Journal
Optics letters
Publication Date
Dec 15, 1992
Volume
17
Issue
24
Pages
1734–1736
Identifiers
PMID: 19798299
Source
Medline
License
Unknown

Abstract

Exact reflectivity spectra for sawtooth gratings are obtained by an analytical transfer matrix and are compared with approximate spectra obtained from the first-order coupled-wave method and from transfer matrix calculations based on representations of the sawtooth by piecewise constant segments. We find that the discrepancy between the exact spectra and the spectra obtained from approximate calculations is most evident for long or short gratings and increases with the depth of the index modulation in the grating.

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