Abstract

A general coupled-wave formalism describing the multiwave diffraction properties of thick gratings is presented. The analysis is applicable to refractive-index-modulated and/or absorption-modulated gratings of any modulation strength. The gratings may be slanted, nonuniform with thickness, nonsinusoidal, and lossy. The incident wave (of arbitrary polarization) may be at any angle of incidence including all Bragg angles. Example multiwave diffraction efficiency characteristics are calculated for some representative grating thicknesses and refractive-index modulations for sinusoidal, square-wave, and sawtooth gratings.

© 1977 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. C. B. Burckhardt, "Diffraction of a plane wave at a sinusoidally stratified dielectric grating," J. Opt. Soc. Am. 56, 1502–1509 (1966).
  2. R. S. Chu and T. Tamir, "Guided-wave theory of light diffraction by acoustic microwaves," IEEE Trans. Microwave Theory Tech. MTT-18, 486–504 (1970).
  3. H. Kogolnilk, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1969).
  4. F. G. Kaspar, "Diffraction by thick, periodically stratified gratings with complex dielectric constant," J. Opt. Soc. Am. 63, 37–45 (1973).
  5. R. Alferness, "Analysis of propagation at the second-order Bragg angle of a thick holographic grating," J. Opt. Soc. Am. 66, 353–362 (1976).
  6. R. Alferness, "Analysis of optical propagation in thick holographic gratings," Appl. Phys. 7, 29–33 (1975).
  7. G. L. Fillmore and R. F. Tynan, "Sensitometric characteristics of hardened dichromated-gelatin films," J. Opt. Soc. Am. 61, 199–203 (1971).
  8. S. F. Su and T. K. Gaylord, "Calculation of arbitrary-order diffraction efficiencies of thick gratings with arbitrary grating shape," J. Opt. Soc. Am. 65, 59–64 (1975).
  9. D. Kermisch, "Nonuniform sinusoidally modulated dielectric gratings," J. Opt. Soc. Am. 59, 1409–1414 (1969).
  10. N. Uchida, "Calculation of diffraction efficiency in hologram gratings attenuated along the direction perpendicular to the grating vector," J. Opt. Soc. Am. 63, 280–287 (1973).
  11. W. R. Klein and B. D. Cook, "Unified approach to ultrasonic light diffraction," IEEE Trans. Sonics Ultrasonics SU-14, 123–134 (1967).
  12. H. Kogelnik, "Bragg diffraction in hologram gratings with multiple internal reflections," J. Opt. Soc. Am. 57, 431–433 (1967).
  13. B. L. Booth, "Photopolymer material for holography," Appl. Opt. 14, 593–601 (1975).
  14. L. Bergstein and D. Kermisch, "Image storage and reconstruction in volume holography," Proc. Symp. Modern Opt. 17, 655–680 (1967).
  15. y. Ninomiya, "Recording characteristics of volume holograms," J. Opt. Soc. Am. 63, 1124–1130 (1973).
  16. R. Magnusson and T. K. Gaylord, "Use of dynamic theory to describe experimental results from volume holography," J. Appl. Phys. 47, 190–199 (1976).
  17. D. W. Vahey, "A nonlinear coupled-wave theory of holographic storage in ferroelectric materials," J. Appl. Phys. 46, 3510–3515 (1975).
  18. S. F. Su and T. K. Gaylord, "Unified approach to the formation of phase holograms in ferroelectric crystals," J. Appl. Phys. 46, 5208–5213 (1975).
  19. J. E. Bjorkholm and C. V. Shank, "Higher-order distributed feedback oscillators," Appl. Phys. Lett. 20, 306–308 (1972).
  20. V. E. Wood, N. F. Hartman, C. M. Verber, and R. P. Kenan, "Holographic formation of gratings in optical waveguiding layers, " J. Appl. Phys. 46, 1214–1215 (1975).

1976 (2)

R. Magnusson and T. K. Gaylord, "Use of dynamic theory to describe experimental results from volume holography," J. Appl. Phys. 47, 190–199 (1976).

R. Alferness, "Analysis of propagation at the second-order Bragg angle of a thick holographic grating," J. Opt. Soc. Am. 66, 353–362 (1976).

1975 (6)

S. F. Su and T. K. Gaylord, "Calculation of arbitrary-order diffraction efficiencies of thick gratings with arbitrary grating shape," J. Opt. Soc. Am. 65, 59–64 (1975).

D. W. Vahey, "A nonlinear coupled-wave theory of holographic storage in ferroelectric materials," J. Appl. Phys. 46, 3510–3515 (1975).

S. F. Su and T. K. Gaylord, "Unified approach to the formation of phase holograms in ferroelectric crystals," J. Appl. Phys. 46, 5208–5213 (1975).

R. Alferness, "Analysis of optical propagation in thick holographic gratings," Appl. Phys. 7, 29–33 (1975).

V. E. Wood, N. F. Hartman, C. M. Verber, and R. P. Kenan, "Holographic formation of gratings in optical waveguiding layers, " J. Appl. Phys. 46, 1214–1215 (1975).

B. L. Booth, "Photopolymer material for holography," Appl. Opt. 14, 593–601 (1975).

1973 (3)

1972 (1)

J. E. Bjorkholm and C. V. Shank, "Higher-order distributed feedback oscillators," Appl. Phys. Lett. 20, 306–308 (1972).

1971 (1)

1970 (1)

R. S. Chu and T. Tamir, "Guided-wave theory of light diffraction by acoustic microwaves," IEEE Trans. Microwave Theory Tech. MTT-18, 486–504 (1970).

1969 (2)

H. Kogolnilk, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1969).

D. Kermisch, "Nonuniform sinusoidally modulated dielectric gratings," J. Opt. Soc. Am. 59, 1409–1414 (1969).

1967 (3)

L. Bergstein and D. Kermisch, "Image storage and reconstruction in volume holography," Proc. Symp. Modern Opt. 17, 655–680 (1967).

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

H. Kogelnik, "Bragg diffraction in hologram gratings with multiple internal reflections," J. Opt. Soc. Am. 57, 431–433 (1967).

1966 (1)

Alferness, R.

R. Alferness, "Analysis of propagation at the second-order Bragg angle of a thick holographic grating," J. Opt. Soc. Am. 66, 353–362 (1976).

R. Alferness, "Analysis of optical propagation in thick holographic gratings," Appl. Phys. 7, 29–33 (1975).

Bergstein, L.

L. Bergstein and D. Kermisch, "Image storage and reconstruction in volume holography," Proc. Symp. Modern Opt. 17, 655–680 (1967).

Bjorkholm, J. E.

J. E. Bjorkholm and C. V. Shank, "Higher-order distributed feedback oscillators," Appl. Phys. Lett. 20, 306–308 (1972).

Booth, B. L.

Burckhardt, C. B.

Chu, R. S.

R. S. Chu and T. Tamir, "Guided-wave theory of light diffraction by acoustic microwaves," IEEE Trans. Microwave Theory Tech. MTT-18, 486–504 (1970).

Cook, B. D.

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

Fillmore, G. L.

Gaylord, T. K.

R. Magnusson and T. K. Gaylord, "Use of dynamic theory to describe experimental results from volume holography," J. Appl. Phys. 47, 190–199 (1976).

S. F. Su and T. K. Gaylord, "Unified approach to the formation of phase holograms in ferroelectric crystals," J. Appl. Phys. 46, 5208–5213 (1975).

S. F. Su and T. K. Gaylord, "Calculation of arbitrary-order diffraction efficiencies of thick gratings with arbitrary grating shape," J. Opt. Soc. Am. 65, 59–64 (1975).

Hartman, N. F.

V. E. Wood, N. F. Hartman, C. M. Verber, and R. P. Kenan, "Holographic formation of gratings in optical waveguiding layers, " J. Appl. Phys. 46, 1214–1215 (1975).

Kaspar, F. G.

Kenan, R. P.

V. E. Wood, N. F. Hartman, C. M. Verber, and R. P. Kenan, "Holographic formation of gratings in optical waveguiding layers, " J. Appl. Phys. 46, 1214–1215 (1975).

Kermisch, D.

D. Kermisch, "Nonuniform sinusoidally modulated dielectric gratings," J. Opt. Soc. Am. 59, 1409–1414 (1969).

L. Bergstein and D. Kermisch, "Image storage and reconstruction in volume holography," Proc. Symp. Modern Opt. 17, 655–680 (1967).

Klein, W. R.

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

Kogelnik, H.

Kogolnilk, H.

H. Kogolnilk, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1969).

Magnusson, R.

R. Magnusson and T. K. Gaylord, "Use of dynamic theory to describe experimental results from volume holography," J. Appl. Phys. 47, 190–199 (1976).

Ninomiya, y.

Shank, C. V.

J. E. Bjorkholm and C. V. Shank, "Higher-order distributed feedback oscillators," Appl. Phys. Lett. 20, 306–308 (1972).

Su, S. F.

S. F. Su and T. K. Gaylord, "Unified approach to the formation of phase holograms in ferroelectric crystals," J. Appl. Phys. 46, 5208–5213 (1975).

S. F. Su and T. K. Gaylord, "Calculation of arbitrary-order diffraction efficiencies of thick gratings with arbitrary grating shape," J. Opt. Soc. Am. 65, 59–64 (1975).

Tamir, T.

R. S. Chu and T. Tamir, "Guided-wave theory of light diffraction by acoustic microwaves," IEEE Trans. Microwave Theory Tech. MTT-18, 486–504 (1970).

Tynan, R. F.

Uchida, N.

Vahey, D. W.

D. W. Vahey, "A nonlinear coupled-wave theory of holographic storage in ferroelectric materials," J. Appl. Phys. 46, 3510–3515 (1975).

Verber, C. M.

V. E. Wood, N. F. Hartman, C. M. Verber, and R. P. Kenan, "Holographic formation of gratings in optical waveguiding layers, " J. Appl. Phys. 46, 1214–1215 (1975).

Wood, V. E.

V. E. Wood, N. F. Hartman, C. M. Verber, and R. P. Kenan, "Holographic formation of gratings in optical waveguiding layers, " J. Appl. Phys. 46, 1214–1215 (1975).

Appl. Opt. (1)

Appl. Phys. (1)

R. Alferness, "Analysis of optical propagation in thick holographic gratings," Appl. Phys. 7, 29–33 (1975).

Appl. Phys. Lett. (1)

J. E. Bjorkholm and C. V. Shank, "Higher-order distributed feedback oscillators," Appl. Phys. Lett. 20, 306–308 (1972).

Bell Syst. Tech. J. (1)

H. Kogolnilk, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1969).

IEEE Trans. Microwave Theory Tech. (1)

R. S. Chu and T. Tamir, "Guided-wave theory of light diffraction by acoustic microwaves," IEEE Trans. Microwave Theory Tech. MTT-18, 486–504 (1970).

IEEE Trans. Sonics Ultrasonics (1)

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

J. Appl. Phys. (4)

R. Magnusson and T. K. Gaylord, "Use of dynamic theory to describe experimental results from volume holography," J. Appl. Phys. 47, 190–199 (1976).

D. W. Vahey, "A nonlinear coupled-wave theory of holographic storage in ferroelectric materials," J. Appl. Phys. 46, 3510–3515 (1975).

S. F. Su and T. K. Gaylord, "Unified approach to the formation of phase holograms in ferroelectric crystals," J. Appl. Phys. 46, 5208–5213 (1975).

V. E. Wood, N. F. Hartman, C. M. Verber, and R. P. Kenan, "Holographic formation of gratings in optical waveguiding layers, " J. Appl. Phys. 46, 1214–1215 (1975).

J. Opt. Soc. Am. (9)

Proc. Symp. Modern Opt. (1)

L. Bergstein and D. Kermisch, "Image storage and reconstruction in volume holography," Proc. Symp. Modern Opt. 17, 655–680 (1967).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.