Abstract

The grating thickness limit lFP between the Raman–Nath and the Bragg diffraction regimes is calculated for an index grating placed in an asymmetric Fabry–Perot resonator with a totally reflecting back mirror and compared with that which was obtained for the same grating with no cavity lM. Owing to the increase of the effective interaction length inside the Fabry–Perot cavity, the stronger the front mirror reflectivity R1 of the cavity, the smaller the thickness above which the whole diffracted intensity can be concentrated into one unique diffracted beam: lFP=[(1−√R1)/(1+√R1)]lM/2.

© 2002 Optical Society of America

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  1. R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, Orlando, Fla., 1971).
  2. Y. Ding, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Time-domain image processing using dynamic holography,” IEEE J. Sel. Top. Quantum Electron. 4, 332–341 (1998).
  3. M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Bragg regime diffraction by phase gratings,” Opt. Commun. 32, 14–18 (1980).
  4. M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Raman–Nath regime diffraction by phase gratings,” Opt. Commun. 32, 19–23 (1980).
  5. R. Magnusson and T. K. Gaylord, “Analysis of multiwave diffraction of thick gratings,” J. Opt. Soc. Am. 67, 1165–1170 (1977).
  6. T. K. Gaylord and M. G. Moharam, “Thin and thick gratings: terminology clarification,” Appl. Opt. 20, 3271–3273 (1981).
  7. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 9, pp. 354–358.
  8. S. Mallick, “Effets d’paisseur dans les reseaux,” presented at Ecole d’t d’Optolectronique Cargèse, France, summer 1990.
  9. L. Menez, I. Zaquine, A. Maruani, and R. Frey, “Intracavity Bragg gratings,” J. Opt. Soc. Am. B 16, 1849–1855 (1999).
  10. J. H. Collet, R. Buhleier, and J. O. White, “Enhanced diffraction of light in GaAs microcavities,” J. Opt. Soc. Am. B 12, 2439–2444 (1995).
  11. K. M. Kwolek, M. R. Melloch, D. D. Nolte, and G. A. Brost, “Photorefractive asymmetric Fabry–Perot quantum wells: transverse-field geometry,” Appl. Phys. Lett. 67, 736–738 (1995).
  12. D. D. Nolte, K. M. Kwolek, C. Lenox, and B. Streetman, “Dynamic holography in a broad-area optically pumped vertical GaAs microcavity,” J. Opt. Soc. Am. B 18, 257–263 (2001).
  13. L. A. Pipes, Applied Mathematics for Engineers and Physicists (McGraw-Hill, New York, 1958), Chap. 4, pp. 101–102.
  14. M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1970), Chap. 12, pp. 604–607.
  15. D. D. Nolte, D. H. Olson, G. E. Doran, W. H. Knox, and A. M. Glass, “Resonant photodiffractive effect in semi-insulating multiple quantum wells,” J. Opt. Soc. Am. B 7, 2217–2225 (1990).
  16. Q. Wang, R. M. Brubaker, D. D. Nolte, and M. R. Melloch, “Photorefractive quantum wells: transverse Franz–Keldysh geometry,” J. Opt. Soc. Am. B 9, 1626–1641 (1992).

2001 (1)

1999 (1)

1998 (1)

Y. Ding, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Time-domain image processing using dynamic holography,” IEEE J. Sel. Top. Quantum Electron. 4, 332–341 (1998).

1995 (2)

K. M. Kwolek, M. R. Melloch, D. D. Nolte, and G. A. Brost, “Photorefractive asymmetric Fabry–Perot quantum wells: transverse-field geometry,” Appl. Phys. Lett. 67, 736–738 (1995).

J. H. Collet, R. Buhleier, and J. O. White, “Enhanced diffraction of light in GaAs microcavities,” J. Opt. Soc. Am. B 12, 2439–2444 (1995).

1992 (1)

1990 (1)

1981 (1)

1980 (2)

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Bragg regime diffraction by phase gratings,” Opt. Commun. 32, 14–18 (1980).

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Raman–Nath regime diffraction by phase gratings,” Opt. Commun. 32, 19–23 (1980).

1977 (1)

Brost, G. A.

K. M. Kwolek, M. R. Melloch, D. D. Nolte, and G. A. Brost, “Photorefractive asymmetric Fabry–Perot quantum wells: transverse-field geometry,” Appl. Phys. Lett. 67, 736–738 (1995).

Brubaker, R. M.

Buhleier, R.

Collet, J. H.

Ding, Y.

Y. Ding, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Time-domain image processing using dynamic holography,” IEEE J. Sel. Top. Quantum Electron. 4, 332–341 (1998).

Doran, G. E.

Frey, R.

Gaylord, T. K.

T. K. Gaylord and M. G. Moharam, “Thin and thick gratings: terminology clarification,” Appl. Opt. 20, 3271–3273 (1981).

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Bragg regime diffraction by phase gratings,” Opt. Commun. 32, 14–18 (1980).

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Raman–Nath regime diffraction by phase gratings,” Opt. Commun. 32, 19–23 (1980).

R. Magnusson and T. K. Gaylord, “Analysis of multiwave diffraction of thick gratings,” J. Opt. Soc. Am. 67, 1165–1170 (1977).

Glass, A. M.

Knox, W. H.

Kwolek, K. M.

D. D. Nolte, K. M. Kwolek, C. Lenox, and B. Streetman, “Dynamic holography in a broad-area optically pumped vertical GaAs microcavity,” J. Opt. Soc. Am. B 18, 257–263 (2001).

K. M. Kwolek, M. R. Melloch, D. D. Nolte, and G. A. Brost, “Photorefractive asymmetric Fabry–Perot quantum wells: transverse-field geometry,” Appl. Phys. Lett. 67, 736–738 (1995).

Lenox, C.

Magnusson, R.

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Bragg regime diffraction by phase gratings,” Opt. Commun. 32, 14–18 (1980).

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Raman–Nath regime diffraction by phase gratings,” Opt. Commun. 32, 19–23 (1980).

R. Magnusson and T. K. Gaylord, “Analysis of multiwave diffraction of thick gratings,” J. Opt. Soc. Am. 67, 1165–1170 (1977).

Maruani, A.

Melloch, M. R.

Y. Ding, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Time-domain image processing using dynamic holography,” IEEE J. Sel. Top. Quantum Electron. 4, 332–341 (1998).

K. M. Kwolek, M. R. Melloch, D. D. Nolte, and G. A. Brost, “Photorefractive asymmetric Fabry–Perot quantum wells: transverse-field geometry,” Appl. Phys. Lett. 67, 736–738 (1995).

Q. Wang, R. M. Brubaker, D. D. Nolte, and M. R. Melloch, “Photorefractive quantum wells: transverse Franz–Keldysh geometry,” J. Opt. Soc. Am. B 9, 1626–1641 (1992).

Menez, L.

Moharam, M. G.

T. K. Gaylord and M. G. Moharam, “Thin and thick gratings: terminology clarification,” Appl. Opt. 20, 3271–3273 (1981).

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Bragg regime diffraction by phase gratings,” Opt. Commun. 32, 14–18 (1980).

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Raman–Nath regime diffraction by phase gratings,” Opt. Commun. 32, 19–23 (1980).

Nolte, D. D.

Olson, D. H.

Streetman, B.

Wang, Q.

Weiner, A. M.

Y. Ding, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Time-domain image processing using dynamic holography,” IEEE J. Sel. Top. Quantum Electron. 4, 332–341 (1998).

White, J. O.

Zaquine, I.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

K. M. Kwolek, M. R. Melloch, D. D. Nolte, and G. A. Brost, “Photorefractive asymmetric Fabry–Perot quantum wells: transverse-field geometry,” Appl. Phys. Lett. 67, 736–738 (1995).

IEEE J. Sel. Top. Quantum Electron. (1)

Y. Ding, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Time-domain image processing using dynamic holography,” IEEE J. Sel. Top. Quantum Electron. 4, 332–341 (1998).

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (5)

Opt. Commun. (2)

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Bragg regime diffraction by phase gratings,” Opt. Commun. 32, 14–18 (1980).

M. G. Moharam, T. K. Gaylord, and R. Magnusson, “Criteria for Raman–Nath regime diffraction by phase gratings,” Opt. Commun. 32, 19–23 (1980).

Other (5)

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 9, pp. 354–358.

S. Mallick, “Effets d’paisseur dans les reseaux,” presented at Ecole d’t d’Optolectronique Cargèse, France, summer 1990.

L. A. Pipes, Applied Mathematics for Engineers and Physicists (McGraw-Hill, New York, 1958), Chap. 4, pp. 101–102.

M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1970), Chap. 12, pp. 604–607.

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, Orlando, Fla., 1971).

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