Abstract

Perturbation theory for the plane-wave eigenvector equation of crystal optics is developed. General expressions for the refractive-index changes that result from a general homogeneous dielectric perturbation are found for isotropic solids, uniaxial crystals, and biaxial crystals. The expressions may be applied directly to the electro-optic effect for any direction of light propagation, for either state of light polarization, and for any direction of electric-field application. They are also useful for the photoelastic effect when the elastic perturbation is homogeneous.

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  1. I. P. Kaminow and E. H. Turner, in Handbook of Lasers, edited by R. J. Pressley (Chemical Rubber Co., Cleveland, 1971), p. 447.
  2. B. V. Gisin, Kristallografiya 16, 151 (1971) [Sov. Phys. -Crystallography 16, 118 (1971)]; Kristallografiya 16, 638 (1971) [Sov. Phys. -Crystallography 16, 547 (1971)]; Kvantovaya Elektronika 1, 136 (1971) [Sov. J. Quantum Electron. 1, 686 (1972)].
  3. D. Kalymnios, Electronics Lett. 6, 804 (1970).
  4. I. P. Kaminow and E. H. Turner, Appl. Opt. 5, 1612 (1956).
  5. M. Lax and D. F. Nelson, Phys. Rev. B 4, 3694 (1971).
  6. D. F. Nelson and E. H. Turner, J. Appl. Phys. 39, 3337 (1968).
  7. D. F. Nelson, M. Lax, and P. D. Lazay, Proceedings of the IUTAM Symposium on the Photoelastic Effect and Its Applications (Brussels, 1973).
  8. D. F. Nelson and M. Lax, Phys. Rev. Lett. 24, 379 (1970).
  9. D. F. Nelson and P. D. Lazay, Phys. Rev. Lett. 17, 1187 (1970).
  10. D. F. Nelson and M. Lax, Phys. Rev. B 3, 2778 (1971).
  11. J. Chapelle and L. Taurel, C. R. Acad. Sci. (Paris) 240, 743 (1955).
  12. We ignore the special degenerate case when propagation occurs exactly along the optic axes. Such directions are of little interest for use in optical modulators because in biaxial crystals conical refraction occurs.
  13. M. Mason and W. Weaver, The Electromagnetic Field (Dover, New York, 1929), p. 153.

Chapelle, J.

J. Chapelle and L. Taurel, C. R. Acad. Sci. (Paris) 240, 743 (1955).

Gisin, B. V.

B. V. Gisin, Kristallografiya 16, 151 (1971) [Sov. Phys. -Crystallography 16, 118 (1971)]; Kristallografiya 16, 638 (1971) [Sov. Phys. -Crystallography 16, 547 (1971)]; Kvantovaya Elektronika 1, 136 (1971) [Sov. J. Quantum Electron. 1, 686 (1972)].

Kalymnios, D.

D. Kalymnios, Electronics Lett. 6, 804 (1970).

Kaminow, I. P.

I. P. Kaminow and E. H. Turner, in Handbook of Lasers, edited by R. J. Pressley (Chemical Rubber Co., Cleveland, 1971), p. 447.

I. P. Kaminow and E. H. Turner, Appl. Opt. 5, 1612 (1956).

Lax, M.

D. F. Nelson and M. Lax, Phys. Rev. Lett. 24, 379 (1970).

D. F. Nelson, M. Lax, and P. D. Lazay, Proceedings of the IUTAM Symposium on the Photoelastic Effect and Its Applications (Brussels, 1973).

M. Lax and D. F. Nelson, Phys. Rev. B 4, 3694 (1971).

D. F. Nelson and M. Lax, Phys. Rev. B 3, 2778 (1971).

Lazay, P. D.

D. F. Nelson and P. D. Lazay, Phys. Rev. Lett. 17, 1187 (1970).

D. F. Nelson, M. Lax, and P. D. Lazay, Proceedings of the IUTAM Symposium on the Photoelastic Effect and Its Applications (Brussels, 1973).

Mason, M.

M. Mason and W. Weaver, The Electromagnetic Field (Dover, New York, 1929), p. 153.

Nelson, D. F.

D. F. Nelson and E. H. Turner, J. Appl. Phys. 39, 3337 (1968).

D. F. Nelson and M. Lax, Phys. Rev. B 3, 2778 (1971).

D. F. Nelson and P. D. Lazay, Phys. Rev. Lett. 17, 1187 (1970).

M. Lax and D. F. Nelson, Phys. Rev. B 4, 3694 (1971).

D. F. Nelson, M. Lax, and P. D. Lazay, Proceedings of the IUTAM Symposium on the Photoelastic Effect and Its Applications (Brussels, 1973).

D. F. Nelson and M. Lax, Phys. Rev. Lett. 24, 379 (1970).

Taurel, L.

J. Chapelle and L. Taurel, C. R. Acad. Sci. (Paris) 240, 743 (1955).

Turner, E. H.

I. P. Kaminow and E. H. Turner, Appl. Opt. 5, 1612 (1956).

I. P. Kaminow and E. H. Turner, in Handbook of Lasers, edited by R. J. Pressley (Chemical Rubber Co., Cleveland, 1971), p. 447.

D. F. Nelson and E. H. Turner, J. Appl. Phys. 39, 3337 (1968).

Weaver, W.

M. Mason and W. Weaver, The Electromagnetic Field (Dover, New York, 1929), p. 153.

Other (13)

I. P. Kaminow and E. H. Turner, in Handbook of Lasers, edited by R. J. Pressley (Chemical Rubber Co., Cleveland, 1971), p. 447.

B. V. Gisin, Kristallografiya 16, 151 (1971) [Sov. Phys. -Crystallography 16, 118 (1971)]; Kristallografiya 16, 638 (1971) [Sov. Phys. -Crystallography 16, 547 (1971)]; Kvantovaya Elektronika 1, 136 (1971) [Sov. J. Quantum Electron. 1, 686 (1972)].

D. Kalymnios, Electronics Lett. 6, 804 (1970).

I. P. Kaminow and E. H. Turner, Appl. Opt. 5, 1612 (1956).

M. Lax and D. F. Nelson, Phys. Rev. B 4, 3694 (1971).

D. F. Nelson and E. H. Turner, J. Appl. Phys. 39, 3337 (1968).

D. F. Nelson, M. Lax, and P. D. Lazay, Proceedings of the IUTAM Symposium on the Photoelastic Effect and Its Applications (Brussels, 1973).

D. F. Nelson and M. Lax, Phys. Rev. Lett. 24, 379 (1970).

D. F. Nelson and P. D. Lazay, Phys. Rev. Lett. 17, 1187 (1970).

D. F. Nelson and M. Lax, Phys. Rev. B 3, 2778 (1971).

J. Chapelle and L. Taurel, C. R. Acad. Sci. (Paris) 240, 743 (1955).

We ignore the special degenerate case when propagation occurs exactly along the optic axes. Such directions are of little interest for use in optical modulators because in biaxial crystals conical refraction occurs.

M. Mason and W. Weaver, The Electromagnetic Field (Dover, New York, 1929), p. 153.

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