Skip to main content
Log in

Planar dielectric grating diffraction theories

  • Invited Paper
  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

Various planar dielectric grating diffraction theories are reviewed for the case of a general sinusoidal permittivity planar grating with slanted fringes and plane wave incidence at an arbitrary angle. Exact formulations without approximations (rigorous coupled-wave analysis and rigorous modal analysis) are developed first. Then, using a series of fundamental assumptions, rigorous theory is shown to reduce to the various approximate theories in the appropriate limits. The implications of these fundamental assumptions are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R.R. Aggarwal: Proc. Indian Acad. Sci.31, 417–426 (1950)

    Google Scholar 

  2. P. Phariseau: Proc. Indiana Acad. Sci. A44, 165–170 (1956)

    Google Scholar 

  3. W.R. Klein, B.D. Cook: IEEE Trans. SU14, 123–134 (1967)

    Google Scholar 

  4. H. Kogelnik: Bell Syst. Tech. J.48, 2909–2947 (1969)

    Google Scholar 

  5. G.L. Fillmore, R.F. Tynan: J. Opt. Soc. Am.61, 199–203 (1971)

    Google Scholar 

  6. J.A. Kong: J. Opt. Soc. Am.67, 825–829 (1977)

    Google Scholar 

  7. R. Magnusson, T.K. Gaylord: J. Opt. Soc. Am.67, 1165–1170 (1977)

    Google Scholar 

  8. M.G. Moharam, T.K. Gaylord: J. Opt. Soc. Am.71, 811–818 (1981)

    Google Scholar 

  9. T. Tamir, H.C. Wang, A.A. Oliner: IEEE Trans. MTT-12, 323–335 (1964)

    Google Scholar 

  10. T. Tamir, H.C. Wang: Can. J. Phys.44, 2073–2094 (1966)

    Google Scholar 

  11. T. Tamir: Can. J. Phys.44, 2461–2494 (1966)

    Google Scholar 

  12. C.B. Burckhardt: J. Opt. Soc. Am.56, 1502–1509 (1966)

    Google Scholar 

  13. L. Bergstein, D. Kermisch: Proc. Symp. Mod. Opt.17, 655–680 (1967)

    Google Scholar 

  14. R.S. Chu, T. Tamir: IEEE Trans. MTT-18, 486–504 (1970)

    Google Scholar 

  15. R.S. Chu, T. Tamir: Proc. IEE119, 797–806 (1972)

    Google Scholar 

  16. F.G. Kaspar: J. Opt. Soc. Am.63, 37–45 (1973)

    Google Scholar 

  17. S.T. Peng, T. Tamir, H.L. Bertoni: IEEE Trans. MTT-23, 123–133 (1975)

    Google Scholar 

  18. R.S. Chu, J.A. Kong: IEEE Trans. MTT-25, 18–24 (1977)

    Google Scholar 

  19. P.St.J. Russell: Phys. Rep.71, 209–312 (1981)

    Google Scholar 

  20. L. Solymar, D.J. Cooke:Volume Holography and Volume Gratings (Academic Press, London 1981)

    Google Scholar 

  21. R. Magnusson, T.K. Gaylord: J. Opt. Soc. Am.68, 1777–1779 (1978)

    Google Scholar 

  22. D.A. Watkins:Topics in Electromagnetic Theory (Wiley, New York 1958) p. 2

    Google Scholar 

  23. R.E. Collin:Field Theory of Guided Waves (McGraw-Hill, New York 1960) p. 368

    Google Scholar 

  24. E.g.C.L. Liu, J.W.S. Liu:Linear Systems Analysis (McGraw-Hill, New York 1975)

    Google Scholar 

  25. E.g. program EIGRF from the International Mathematics and Statistics Library (IMSL)

  26. F. Lederer, U. Langbein: Opt. Acta27, 183–200 (1980)

    Google Scholar 

  27. S. Kessler, R. Kowarschik: Opt. Quantum Electron.7, 1–4 (1975)

    Google Scholar 

  28. R. Kowarschik, S. Kessler: Opt. Quantum Electron.7, 399–411 (1975)

    Google Scholar 

  29. R. Kowarschik: Opt. Acta23, 1039–1051 (1976)

    Google Scholar 

  30. T. Jaaskelainen, O. Salminen, R.M.K. Hamalainen: Acta Poly.-Appl. Phys.126, 3–12 (1979)

    Google Scholar 

  31. C.V. Raman, N.S.N. Nath: Proc. Indian Acad. Sci.A3, 119–125 (1936)

    Google Scholar 

  32. C.V. Raman, N.S.N. Nath: Proc. Indian Acad. Sci. A2, 406–412 (1935)

    Google Scholar 

  33. C.V. Raman, N.S.N. Nath: Proc. Indian Acad. Sci. A2, 413–420 (1935)

    Google Scholar 

  34. C.V. Raman, N.S.N. Nath: Proc. Indian Acad. Sci. A3, 75–84 (1936)

    Google Scholar 

  35. C.V. Raman, N.S.N. Nath: Proc. Indian Acad. Sci. A3, 459–465 (1936)

    Google Scholar 

  36. N.S.N. Nath: Proc. Indian Acad. Sci. A8, 499–503 (1938)

    Google Scholar 

  37. N.S.N. Nath: Proc. Indian Acad. Sci. A4, 222–242 (1936)

    Google Scholar 

  38. M.V. Berry:The Diffraction of Light by Ultrasound (Academic Press, London 1966)

    Google Scholar 

  39. P.St.J. Russell, L. Solymar, M.P. Jordan: Proc. ICO11, 635–638 (1978)

    Google Scholar 

  40. M.G. Moharam, T.K. Gaylord, R. Magnusson: J. Opt. Soc. Am.70, 300–304 (1980)

    Google Scholar 

  41. L. Solymar, M.P. Jordan: Microwave Opt. Acoust.1, 89–92 (1977)

    Google Scholar 

  42. R.P. Kenan: IEEE J. QE-14, 924–930 (1978)

    Google Scholar 

  43. M.G. Moharam, T.K. Gaylord, R. Magnusson: J. Opt. Soc. Am.70, 437–442 (1980)

    Google Scholar 

  44. N. Uchida: J. Opt. Soc. Am.63, 280–287 (1973)

    Google Scholar 

  45. U. Killat: Opt. Commun.21, 110–111 (1977)

    Google Scholar 

  46. M.P. Owen, L. Solymar: Opt. Commun.34, 321–326 (1980)

    Google Scholar 

  47. M.G. Moharam, T.K. Gaylord, R. Magnusson: Opt. Commun.32, 19–23 (1980)

    Google Scholar 

  48. F.H. Sanders: Can. J. Phys.14, 158–171 (1936)

    Google Scholar 

  49. M.G. Moharam, T.K. Gaylord, R. Magnusson: Opt. Commun.32, 14–18 (1980)

    Google Scholar 

  50. K.L. Zankel, E.A. Hiedemann: J. Acoust. Soc. Am.31, 44–54 (1959)

    Google Scholar 

  51. R. Magnusson, T.K. Gaylord: J. Opt. Soc. Am.68, 806–809 (1978)

    Google Scholar 

  52. R. Magnusson, T.K. Gaylord: Opt. Commun.25, 129–132 (1978).

    Google Scholar 

  53. J.W. Goodman:Introduction to Fourier Optics (McGraw-Hill, New York 1968)

    Google Scholar 

  54. W.T. Cathey:Optical Information Processing and Holography (Wiley, New York 1974)

    Google Scholar 

  55. H.M. Smith:Principles of Holography (Wiley, New York 1969)

    Google Scholar 

  56. R.J. Collier, C.B. Burckhardt, L.H. Lin:Optical Holography (Academic Press, New York 1971)

    Google Scholar 

  57. R. Magnusson, T.K. Gaylord: Opt. Commun.28, 1–3 (1979)

    Google Scholar 

  58. M.G. Moharam, T.K. Gaylord: J. Opt. Soc. Am.72, 187–190 (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gaylord, T.K., Moharam, M.G. Planar dielectric grating diffraction theories. Appl. Phys. B 28, 1–14 (1982). https://doi.org/10.1007/BF00693885

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00693885

PACS

Navigation