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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. 9, Iss. 9 — Sep. 1, 1992
  • pp: 1586–1591

Diffraction by volume gratings: approximate solution in terms of boundary diffraction coefficients

J. T. Sheridan and L. Solymar  »View Author Affiliations


JOSA A, Vol. 9, Issue 9, pp. 1586-1591 (1992)
http://dx.doi.org/10.1364/JOSAA.9.001586


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Abstract

An approximate analytic method is presented that permits the calculation of all the output waves, both backward and forward traveling, for slanted, transmission-type volume gratings replayed at the Bragg angle and perfectly index matched to their surroundings. The predictions of the resulting analytic expressions are compared with numerical results produced by using the rigorous coupled-wave method and found to be accurate over a large range of parameters to the first order of the permittivity variation of the volume grating, all second-order terms being assumed negligible.

© 1992 Optical Society of America

History
Original Manuscript: July 17, 1991
Revised Manuscript: February 14, 1992
Manuscript Accepted: March 13, 1992
Published: September 1, 1992

Citation
J. T. Sheridan and L. Solymar, "Diffraction by volume gratings: approximate solution in terms of boundary diffraction coefficients," J. Opt. Soc. Am. A 9, 1586-1591 (1992)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-9-9-1586


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References

  1. R. R. A. Syms, Practical Volume Holography (Clarendon, Oxford, 1990).
  2. A. Ramsbottom, “Characteristics and properties of powered reflection holographic optical elements,” Opto-electronics 5, 606–614 (1990).
  3. J. T. Sheridan, L. Solymar, “Boundary diffraction coefficients for calculating spurious beams produced by volume gratings,”IEE Electr. Lett. 26, 1840–1841 (1990). [CrossRef]
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  8. M. V. Vasnetsov, M. S. Soskin, V. B. Taranenko, “Grazing diffraction by volume phase gratings,” Opt. Acta 32, 891–899 (1985). [CrossRef]
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