Abstract

The descriptions of diffraction by pure reflection gratings (fringes parallel to surfaces) and by reflection gratings with slanted fringes are clarified. The rigorous coupled-wave analysis, the chain-matrix analysis, and the new method presented by Zylberberg and Marom [J. Opt. Soc. Am. 73, 392 (1983)] are compared and their regions of applicability determined. Zylberberg and Marom refer to their method as a coupled-wave analysis, a description that is inconsistent with previous use of this terminology.

© 1983 Optical Society of America

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  1. P. Phariseau, "On the diffraction of light by progressive supersonic waves," Proc. Ind. Acad. Sci. Sect. A 44, 165–170 (1956).
  2. W. R. Klein and B. D. Cook, "Unified approach to ultrasonic light diffraction," IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).
  3. H. Kogelnik, "Coupled-wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1967).
  4. J. A. Kong, "Second-order coupled-mode equations for spatially periodic media," J. Opt. Soc. Am. 67, 825–829 (1977).
  5. M. G. Moharam and T. K. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. 71, 811–818 (1981).
  6. D. Marcuse, "Exact theory of TE-wave scattering from blazed dielectric gratings," Bell Syst. Tech. J. 55, 1295–1317 (1976).
  7. Z. Zylberberg and E. Marom, "Rigorous coupled-wave analysis of pure reflection gratings," J. Opt. Soc. Am. 73, 392–398 (1983).
  8. M. G. Moharam and T. K. Gaylord, "Rigorous coupled-wave analysis of reflection gratings," Appl. Opt. 20, 240–244 (1981).
  9. W. W. Rigrod, "Diffraction efficiency of nonsinusoidal Bragg reflection gratings," J. Opt. Soc. Am. 64, 97–99 (1974); Erratum, J. Opt. Soc. Am. 64, 895 (1974).
  10. M. G. Moharam and T. K. Gaylord, "Chain-matrix analysis of arbitrary-thickness dielectric reflection gratings," J. Opt. Soc. Am. 72, 187–190 (1982).
  11. R. Magnusson and T. K. Gaylord, "Analysis of multiwave diffraction of thick gratings," J. Opt. Soc. Am. 67, 1165–1170 (1977).
  12. C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part I," Proc. Ind. Acad. Sci. Sect. A 2, 406–412 (1935).
  13. C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part II," Proc. Ind. Acad. Sci. Sect. A 2, 413–420 (1935).
  14. C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part III," Proc. Ind. Acad. Sci. Sect. A 3, 75–84 (1936).

1983

1982

1981

1977

1976

D. Marcuse, "Exact theory of TE-wave scattering from blazed dielectric gratings," Bell Syst. Tech. J. 55, 1295–1317 (1976).

1967

W. R. Klein and B. D. Cook, "Unified approach to ultrasonic light diffraction," IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).

H. Kogelnik, "Coupled-wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1967).

1956

P. Phariseau, "On the diffraction of light by progressive supersonic waves," Proc. Ind. Acad. Sci. Sect. A 44, 165–170 (1956).

1936

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part III," Proc. Ind. Acad. Sci. Sect. A 3, 75–84 (1936).

1935

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part I," Proc. Ind. Acad. Sci. Sect. A 2, 406–412 (1935).

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part II," Proc. Ind. Acad. Sci. Sect. A 2, 413–420 (1935).

Cook, B. D.

W. R. Klein and B. D. Cook, "Unified approach to ultrasonic light diffraction," IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).

Gaylord, T. K.

Klein, W. R.

W. R. Klein and B. D. Cook, "Unified approach to ultrasonic light diffraction," IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).

Kogelnik, H.

H. Kogelnik, "Coupled-wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1967).

Kong, J. A.

Magnusson, R.

Marcuse, D.

D. Marcuse, "Exact theory of TE-wave scattering from blazed dielectric gratings," Bell Syst. Tech. J. 55, 1295–1317 (1976).

Marom, E.

Moharam, M. G.

Nath, N. S. N.

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part III," Proc. Ind. Acad. Sci. Sect. A 3, 75–84 (1936).

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part I," Proc. Ind. Acad. Sci. Sect. A 2, 406–412 (1935).

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part II," Proc. Ind. Acad. Sci. Sect. A 2, 413–420 (1935).

Phariseau, P.

P. Phariseau, "On the diffraction of light by progressive supersonic waves," Proc. Ind. Acad. Sci. Sect. A 44, 165–170 (1956).

Raman, C. V.

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part III," Proc. Ind. Acad. Sci. Sect. A 3, 75–84 (1936).

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part II," Proc. Ind. Acad. Sci. Sect. A 2, 413–420 (1935).

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part I," Proc. Ind. Acad. Sci. Sect. A 2, 406–412 (1935).

Rigrod, W. W.

W. W. Rigrod, "Diffraction efficiency of nonsinusoidal Bragg reflection gratings," J. Opt. Soc. Am. 64, 97–99 (1974); Erratum, J. Opt. Soc. Am. 64, 895 (1974).

Zylberberg, Z.

Appl. Opt.

Bell Syst. Tech. J.

D. Marcuse, "Exact theory of TE-wave scattering from blazed dielectric gratings," Bell Syst. Tech. J. 55, 1295–1317 (1976).

H. Kogelnik, "Coupled-wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1967).

IEEE Trans. Sonics Ultrason.

W. R. Klein and B. D. Cook, "Unified approach to ultrasonic light diffraction," IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).

J. Opt. Soc. Am.

Proc. Ind. Acad. Sci. Sect.

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part I," Proc. Ind. Acad. Sci. Sect. A 2, 406–412 (1935).

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part II," Proc. Ind. Acad. Sci. Sect. A 2, 413–420 (1935).

C. V. Raman and N. S. N. Nath, "The diffraction of light by high frequency sound waves: Part III," Proc. Ind. Acad. Sci. Sect. A 3, 75–84 (1936).

P. Phariseau, "On the diffraction of light by progressive supersonic waves," Proc. Ind. Acad. Sci. Sect. A 44, 165–170 (1956).

Other

W. W. Rigrod, "Diffraction efficiency of nonsinusoidal Bragg reflection gratings," J. Opt. Soc. Am. 64, 97–99 (1974); Erratum, J. Opt. Soc. Am. 64, 895 (1974).

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