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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 68, Iss. 9 — Sep. 1, 1978
  • pp: 1211–1217

Perfectly blazed reflection gratings with rectangular grooves

James W. Heath and Edward V. Jull  »View Author Affiliations


JOSA, Vol. 68, Issue 9, pp. 1211-1217 (1978)
http://dx.doi.org/10.1364/JOSA.68.001211


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Abstract

For plane electromagnetic wave incidence on a perfectly conducting periodic surface with a rectangular groove profile, the coefficients of the matrices governing the scattered mode amplitudes are given. These matrices decompose when the Bragg condition is satisfied, facilitating computation. Numerical results converge to those of the comb grating as the groove width approaches the period. Data for perfect blazing to the <i>n</i> = -1 spectral order (i.e., all the power is confined to this order) for TE, TM, and arbitrary polarization are given. Perfect blazing with arbitrary polarization for near-grazing incidence is shown to be possible in principle with deep wide grooves. Numerical and experimental results are shown also for narrow groove widths, effective for TM polarization only.

© 1978 Optical Society of America

Citation
James W. Heath and Edward V. Jull, "Perfectly blazed reflection gratings with rectangular grooves," J. Opt. Soc. Am. 68, 1211-1217 (1978)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-68-9-1211


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References

  1. A. Wirgin, "On the theory of scattering from rough lamellar surfaces," Alta. Freq. 38, 327–331 (1969).
  2. A. Wirgin and R. Deleuil, "Theoretical and experimental investigation of a new type of blazed grating," J. Opt. Soc. Am. 59, 1348–1357 (1969).
  3. A. Hessel, J. Shmoys, and D. Y. Tseng, "Bragg-angle blazing of diffraction gratings," J. Opt. Soc. Am. 65, 380–384 (1975).
  4. J. L. Roumiguieres, D. Maystre, and R. Petit, "On the efficiencies of rectangular-groove gratings," J. Opt. Soc. Am. 66, 772–775 (1976).
  5. E. V. Jull, J. W. Heath, and G. R. Ebbeson, "Gratings that diffract all incident energy," J. Opt. Soc. Am. 67, 557–560 (1977).
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  7. G. R. Ebbeson, "TM polarized electromagnetic scattering from fincorrugated periodic surfaces," J. Opt. Soc. Am. 66, 1363–1367 (1976).
  8. J. W. Heath, "Scattering by a conducting periodic surface with a rectangular groove profile," M.A.Sc. Thesis, University of British Columbia (1977).
  9. E. V. Jull and G. R. Ebbeson, "The reduction of interference from large reflecting surfaces," IEEE Trans. Antennas Prop. AP-25, 565–570 (1977).
  10. P. Facq, "Application des matrices de Toeplitz a la théorie de la diffraction par les structures cylindriques périodiques limitées," D.Sc. Thesis, University of Limoges (1977).

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