Abstract

Uniaxial crystals may become biaxial in an external field. The general and exact law of double refraction on the boundary of an isotropic medium and a biaxial crystal lead to an unwieldy set of involved formulas. Rotations of the principal axes of the optical permittivity tensor in the crystal subjected to the field lead to further difficulties in ray and wave tracing. Therefore, we propose a calculus in which the directions of refracted rays and waves in an unperturbed uniaxial crystal are taken as the first approximation, and then small perturbations of rays and waves due to the applied field are considered. Our approach is based on Huygens's principle and a generalized form of Fresnel's ray equation. As an example, the method is applied to the electro-optic modulation of ray and wave directions in a BaTiO3 crystal of 4mm symmetry.

© 2008 Optical Society of America

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2008 (1)

2007 (1)

2006 (1)

2005 (1)

2004 (1)

M. Izdebski, W. Kucharczyk, and R. E. Raab, “On relationships between electro-optic coefficients for impermeability and nonlinear electric susceptibilities,” J. Opt. A 6, 421-424 (2004).

2002 (3)

2000 (1)

C.-L. Lin and J.-J. Wu, “Abnormal total external refraction for waves propagating from an isotropic medium to an anisotropic medium,” Chin. J. Phys. (Taipei) 38, 24-35 (2000).

1998 (1)

1997 (1)

1991 (1)

J. D. Trolinger, R. A. Chipman, and D. K. Wilson, “Polarization ray tracing in birefringent media,” Opt. Eng. 30, 461-466(1991).

1990 (1)

1986 (1)

1983 (1)

1975 (1)

1965 (1)

1962 (1)

Avendaño-Alejo, M.

Beyerle, G.

Boyain y Goitia, A. R.

Chipman, R. A.

J. D. Trolinger, R. A. Chipman, and D. K. Wilson, “Polarization ray tracing in birefringent media,” Opt. Eng. 30, 461-466(1991).

Cojocaru, E.

Echarri, R. M.

Izdebski, M.

Johnson, A. R.

Kaminow, I. P.

I. P. Kaminow, An Introduction to Electrooptic Devices (Academic, 1974).

Kucharczyk, W.

Liang, Q.-T.

Lin, C.-L.

C.-L. Lin and J.-J. Wu, “Abnormal total external refraction for waves propagating from an isotropic medium to an anisotropic medium,” Chin. J. Phys. (Taipei) 38, 24-35 (2000).

McDermid, I. S.

Melnichuk, M.

Pockels, F. C. A.

F. C. A. Pockels, Lehrbuch der Kristalloptik (B. G. Teubner, 1904).

Raab, R. E.

M. Izdebski, W. Kucharczyk, and R. E. Raab, “On relationships between electro-optic coefficients for impermeability and nonlinear electric susceptibilities,” J. Opt. A 6, 421-424 (2004).

M. Izdebski, W. Kucharczyk, and R. E. Raab, “Analysis of accuracy of measurement of quadratic-electro optic coefficients in uniaxial crystals: a case study of KDP,” J. Opt. Soc. Am. A 19, 1417-1421 (2002).
[CrossRef]

Shaskolskaya, M. P.

Yu. I.Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics, English transl. (Mir, 1982).

Simon, M. C.

Sirotin, Yu. I.

Yu. I.Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics, English transl. (Mir, 1982).

Stavroudis, O. N.

Swindell, W.

Trolinger, J. D.

J. D. Trolinger, R. A. Chipman, and D. K. Wilson, “Polarization ray tracing in birefringent media,” Opt. Eng. 30, 461-466(1991).

Weingart, J. M.

Wilson, D. K.

J. D. Trolinger, R. A. Chipman, and D. K. Wilson, “Polarization ray tracing in birefringent media,” Opt. Eng. 30, 461-466(1991).

Wood, L. T.

Wu, J.-J.

C.-L. Lin and J.-J. Wu, “Abnormal total external refraction for waves propagating from an isotropic medium to an anisotropic medium,” Chin. J. Phys. (Taipei) 38, 24-35 (2000).

Yariv, A.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

Yeh, P.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

Appl. Opt. (7)

Chin. J. Phys. (Taipei) (1)

C.-L. Lin and J.-J. Wu, “Abnormal total external refraction for waves propagating from an isotropic medium to an anisotropic medium,” Chin. J. Phys. (Taipei) 38, 24-35 (2000).

J. Opt. A (1)

M. Izdebski, W. Kucharczyk, and R. E. Raab, “On relationships between electro-optic coefficients for impermeability and nonlinear electric susceptibilities,” J. Opt. A 6, 421-424 (2004).

J. Opt. Soc. Am. (2)

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

J. Opt. Soc. Am. B (1)

Opt. Eng. (1)

J. D. Trolinger, R. A. Chipman, and D. K. Wilson, “Polarization ray tracing in birefringent media,” Opt. Eng. 30, 461-466(1991).

Other (4)

F. C. A. Pockels, Lehrbuch der Kristalloptik (B. G. Teubner, 1904).

Yu. I.Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics, English transl. (Mir, 1982).

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

I. P. Kaminow, An Introduction to Electrooptic Devices (Academic, 1974).

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