Abstract

We demonstrate that the beam-propagation method can be employed to calculate the electric-field amplitude inside and outside a grating structure excited by an arbitrary incident field. We establish the accuracy of the method by comparing our results for constant-period gratings with results obtained from other theoretical methods. Subsequently, we analyze thick-focusing gratings with the beam-propagation method.

© 1982 Optical Society of America

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  1. L. Thylén and D. Yevick, "Beam-propagation method in anisotropic media," Appl. Opt. (to be published).
  2. J. A. Fleck, J. R. Morris, and M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. 10, 129–160 (1976).
  3. M. D. Feit and J. A. Fleck, "Light propagation in graded-index optical fibers," Appl. Opt. 17, 3990–3998 (1978).
  4. D. Marcuse, Light Transmission Optics (Van Nostrand Reinholt, New York, 1972), pp. 61–72.
  5. M. G. Moharam and L. Young, "Criterion for Bragg and Raman—Nath diffraction regimes," Appl. Opt. 17, 1757–1759 (1978).
  6. H. Kogelnik, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909–2947 (1969).
  7. D. Yevick and L. Thylén, "A numerical analysis of grating structures," presented at the International School of Quantum Electronics Course on Integrated Optics, Erice, Italy, August 1981.
  8. L. Thylén and L. Stensland, "Lensless integrated optics spectrum analyzer," IEEE J. Quantum Electron. QE-18, 381–385 (1982).
  9. J. Van Roey and P. Lagasse, "Coupled wave analysis of obliquely incident waves in thin film gratings," Appl. Opt. 20, 423–429 (1981).

1982 (1)

L. Thylén and L. Stensland, "Lensless integrated optics spectrum analyzer," IEEE J. Quantum Electron. QE-18, 381–385 (1982).

1981 (1)

1978 (2)

1976 (1)

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. 10, 129–160 (1976).

1969 (1)

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

Feit, M. D.

M. D. Feit and J. A. Fleck, "Light propagation in graded-index optical fibers," Appl. Opt. 17, 3990–3998 (1978).

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. 10, 129–160 (1976).

Fleck, J. A.

M. D. Feit and J. A. Fleck, "Light propagation in graded-index optical fibers," Appl. Opt. 17, 3990–3998 (1978).

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. 10, 129–160 (1976).

Kogelnik, H.

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

Lagasse, P.

Marcuse, D.

D. Marcuse, Light Transmission Optics (Van Nostrand Reinholt, New York, 1972), pp. 61–72.

Moharam, M. G.

Morris, J. R.

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. 10, 129–160 (1976).

Stensland, L.

L. Thylén and L. Stensland, "Lensless integrated optics spectrum analyzer," IEEE J. Quantum Electron. QE-18, 381–385 (1982).

Thylén, L.

L. Thylén and L. Stensland, "Lensless integrated optics spectrum analyzer," IEEE J. Quantum Electron. QE-18, 381–385 (1982).

D. Yevick and L. Thylén, "A numerical analysis of grating structures," presented at the International School of Quantum Electronics Course on Integrated Optics, Erice, Italy, August 1981.

L. Thylén and D. Yevick, "Beam-propagation method in anisotropic media," Appl. Opt. (to be published).

Van Roey, J.

Yevick, D.

D. Yevick and L. Thylén, "A numerical analysis of grating structures," presented at the International School of Quantum Electronics Course on Integrated Optics, Erice, Italy, August 1981.

L. Thylén and D. Yevick, "Beam-propagation method in anisotropic media," Appl. Opt. (to be published).

Young, L.

Appl. Opt. (3)

Appl. Phys. (1)

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. 10, 129–160 (1976).

Bell Syst. Tech. J. (1)

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

IEEE J. Quantum Electron. (1)

L. Thylén and L. Stensland, "Lensless integrated optics spectrum analyzer," IEEE J. Quantum Electron. QE-18, 381–385 (1982).

Other (3)

L. Thylén and D. Yevick, "Beam-propagation method in anisotropic media," Appl. Opt. (to be published).

D. Yevick and L. Thylén, "A numerical analysis of grating structures," presented at the International School of Quantum Electronics Course on Integrated Optics, Erice, Italy, August 1981.

D. Marcuse, Light Transmission Optics (Van Nostrand Reinholt, New York, 1972), pp. 61–72.

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