Statistics – Computation
Scientific paper
Jan 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975josa...65...59s&link_type=abstract
Optical Society of America, Journal, vol. 65, Jan. 1975, p. 59-64.
Statistics
Computation
16
Diffraction Patterns, Gratings (Spectra), Lossless Equipment, Transmission Lines, Bragg Angle, Computer Techniques, Coupled Modes, Fourier Series, Mathematical Models
Scientific paper
A method for calculating arbitrary-order diffraction efficiencies of thick, lossless transmission gratings with arbitrary periodic grating shapes has been developed. A Fourier-series representation of the grating is employed, along with a coupled-mode theory of diffraction. For illustration, numerical values of the diffraction efficiencies at the first three Bragg angles are calculated for sinusoidal, square-wave, triangular, and saw-tooth gratings. Numerical results for the same grating shapes with the same parameters are also calculated for comparison, by extending Burckhardt's numerical method for analyzing thick sinusoidal gratings. The comparison shows that the coupled-mode theory provides results with relative computational ease and results that are in agreement with calculations obtained by extending the more-rigorous Burckhardt theory to nonsinusoidal grating shapes and to higher-order Bragg angles.
Gaylord T. K.
Su F. S.
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