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A study of periodic gratings in planar dielectric waveguides
Periodic gratings in waveguides act as frequency selective mirrors making them
very useful as spectral filters for wavelength division multiplexing applications and as end
mirrors for narrow linewidth lasers. A study of the spectral characteristics of both single
and double gratings in planar dielectric waveguides is presented.
The analysis of light propagation in a planar dielectric waveguide with sinusoidal
boundary perturbations is carried out using coupled-mode theory. Power reflection and
transmission coefficients are calculated for single gratings as well as two gratings of the
same period and depth but arbitrary lengths and separated by a specified distance.
The spectral response is examined for several cases. The influence of grating
period, depth, and length in the single-grating case as well as separation of the gratings in
the case of a double grating is investigated. Numerical results for example cases are
presented. The results of this study are valuable for designing grating devices which are
becoming increasingly attractive to broadband fiber-optic communication systems.