Abstract

The physical properties of the light-propagation equations in a weakly inhomogeneous anisotropic medium derived by the authors are investigated with the help of the Poincaré sphere. Three nondestructive methods of determining a dielectric tensor field having nine unknown components at each point are considered theoretically, which approximately evaluate the tensor at each point by recording two-dimensional projected information involved in transmitted or scattered light in the medium. The first two methods use the measurement of the Stokes parameters, and the other utilizes an analysis to determine a stress tensor in three-dimensional photoelasticity.

© 1981 Optical Society of America

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  1. H. Kubo and R. Nagata, "Determination of dielectric tensor fields in weakly inhomogeneous anisotropic media," J. Opt. Soc. Am. 69, 604–610 (1979).
  2. H. Kubo and R. Nagata, "Equations of light propagation in an inhomogeneous crystal," Opt. Commun. 27, 201–206 (1978).
  3. H. Kubo and R. Nagata, "Stokes parameters representation of the light propagation equations in inhomogeneous anisotropic, optically active media," Opt. Commun. 34, 306–308 (1980).
  4. J. Cernosek, "On the effect of rotating secondary principal stresses in scattered-light photoelasticity," Exp. Mech. 13, 273–279 (1973).
  5. U. Fano, "A Stokes-parameter technique for the treatment of polarization in quantum mechanics," Phys. Rev. 93, 121–123 (1954); E. Wolf, "Coherence properties of partially polarized electromagnetic radiation," Nuovo Cimento 13, 1165–1181 (1959).
  6. R. C. Jones, "A new calculus for the treatment of optical systems. II. Proof of three general equivalence theorems," J. Opt. Soc. Am. 31, 493–499 (1941).
  7. R. W. Schmieder,Stokes-algebra formalism J. Opt. Soc. Am. 59, 297–302 (1969).
  8. H. K. Aben, "Optical phenomena in photoelastic models by the rotation of principal axes," Exp. Mech. 6, 13–22 (1966).
  9. L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity," Exp. Mech. 14, 118–122 (1974).
  10. T. Kihara, H. Kubo, and R. Nagata, "Measurement of 3-D stress distribution by a scattered-light method using depolarized incident light," Appl. Opt. 18, 321–327 (1979).
  11. C. Froehly and R. Desailly, "Polychromatic speckle technique for three dimensional non-destructive photoelasticimetry," Opt. Commun. 21, 258–262 (1977).
  12. H. Takenaka, "A unified formalism for polarized optics by using group theory," Nouv. Rev. Opt. 4, 37–41 (1973).

1980

H. Kubo and R. Nagata, "Stokes parameters representation of the light propagation equations in inhomogeneous anisotropic, optically active media," Opt. Commun. 34, 306–308 (1980).

1979

1978

H. Kubo and R. Nagata, "Equations of light propagation in an inhomogeneous crystal," Opt. Commun. 27, 201–206 (1978).

1977

C. Froehly and R. Desailly, "Polychromatic speckle technique for three dimensional non-destructive photoelasticimetry," Opt. Commun. 21, 258–262 (1977).

1974

L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity," Exp. Mech. 14, 118–122 (1974).

1973

H. Takenaka, "A unified formalism for polarized optics by using group theory," Nouv. Rev. Opt. 4, 37–41 (1973).

J. Cernosek, "On the effect of rotating secondary principal stresses in scattered-light photoelasticity," Exp. Mech. 13, 273–279 (1973).

1969

1966

H. K. Aben, "Optical phenomena in photoelastic models by the rotation of principal axes," Exp. Mech. 6, 13–22 (1966).

1954

U. Fano, "A Stokes-parameter technique for the treatment of polarization in quantum mechanics," Phys. Rev. 93, 121–123 (1954); E. Wolf, "Coherence properties of partially polarized electromagnetic radiation," Nuovo Cimento 13, 1165–1181 (1959).

1941

Aben, H. K.

H. K. Aben, "Optical phenomena in photoelastic models by the rotation of principal axes," Exp. Mech. 6, 13–22 (1966).

Cernosek, J.

J. Cernosek, "On the effect of rotating secondary principal stresses in scattered-light photoelasticity," Exp. Mech. 13, 273–279 (1973).

Desailly, R.

C. Froehly and R. Desailly, "Polychromatic speckle technique for three dimensional non-destructive photoelasticimetry," Opt. Commun. 21, 258–262 (1977).

Fano, U.

U. Fano, "A Stokes-parameter technique for the treatment of polarization in quantum mechanics," Phys. Rev. 93, 121–123 (1954); E. Wolf, "Coherence properties of partially polarized electromagnetic radiation," Nuovo Cimento 13, 1165–1181 (1959).

Froehly, C.

C. Froehly and R. Desailly, "Polychromatic speckle technique for three dimensional non-destructive photoelasticimetry," Opt. Commun. 21, 258–262 (1977).

Jones, R. C.

Kihara, T.

Kubo, H.

H. Kubo and R. Nagata, "Stokes parameters representation of the light propagation equations in inhomogeneous anisotropic, optically active media," Opt. Commun. 34, 306–308 (1980).

T. Kihara, H. Kubo, and R. Nagata, "Measurement of 3-D stress distribution by a scattered-light method using depolarized incident light," Appl. Opt. 18, 321–327 (1979).

H. Kubo and R. Nagata, "Determination of dielectric tensor fields in weakly inhomogeneous anisotropic media," J. Opt. Soc. Am. 69, 604–610 (1979).

H. Kubo and R. Nagata, "Equations of light propagation in an inhomogeneous crystal," Opt. Commun. 27, 201–206 (1978).

Nagata, R.

H. Kubo and R. Nagata, "Stokes parameters representation of the light propagation equations in inhomogeneous anisotropic, optically active media," Opt. Commun. 34, 306–308 (1980).

T. Kihara, H. Kubo, and R. Nagata, "Measurement of 3-D stress distribution by a scattered-light method using depolarized incident light," Appl. Opt. 18, 321–327 (1979).

H. Kubo and R. Nagata, "Determination of dielectric tensor fields in weakly inhomogeneous anisotropic media," J. Opt. Soc. Am. 69, 604–610 (1979).

H. Kubo and R. Nagata, "Equations of light propagation in an inhomogeneous crystal," Opt. Commun. 27, 201–206 (1978).

Sarma, A. V. S. S. S. R.

L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity," Exp. Mech. 14, 118–122 (1974).

Schmieder, R. W.

Srinath, L. S.

L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity," Exp. Mech. 14, 118–122 (1974).

Takenaka, H.

H. Takenaka, "A unified formalism for polarized optics by using group theory," Nouv. Rev. Opt. 4, 37–41 (1973).

Appl. Opt.

Exp. Mech.

J. Cernosek, "On the effect of rotating secondary principal stresses in scattered-light photoelasticity," Exp. Mech. 13, 273–279 (1973).

H. K. Aben, "Optical phenomena in photoelastic models by the rotation of principal axes," Exp. Mech. 6, 13–22 (1966).

L. S. Srinath and A. V. S. S. S. R. Sarma, "Determination of the optically equivalent model in three-dimensional photoelasticity," Exp. Mech. 14, 118–122 (1974).

J. Opt. Soc. Am.

Nouv. Rev. Opt.

H. Takenaka, "A unified formalism for polarized optics by using group theory," Nouv. Rev. Opt. 4, 37–41 (1973).

Opt. Commun.

C. Froehly and R. Desailly, "Polychromatic speckle technique for three dimensional non-destructive photoelasticimetry," Opt. Commun. 21, 258–262 (1977).

H. Kubo and R. Nagata, "Equations of light propagation in an inhomogeneous crystal," Opt. Commun. 27, 201–206 (1978).

H. Kubo and R. Nagata, "Stokes parameters representation of the light propagation equations in inhomogeneous anisotropic, optically active media," Opt. Commun. 34, 306–308 (1980).

Phys. Rev.

U. Fano, "A Stokes-parameter technique for the treatment of polarization in quantum mechanics," Phys. Rev. 93, 121–123 (1954); E. Wolf, "Coherence properties of partially polarized electromagnetic radiation," Nuovo Cimento 13, 1165–1181 (1959).

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