Abstract

The bireflectance effect is observed when a light beam is internally reflected in an anisotropic material. Generally, an unpolarized light beam splits into four beams on reflection. A new method for simultaneous measurement of the three refractive indices, based on laser-beam splitting due to bireflectance, is demonstrated in the biaxial CdWO4 crystal. The three principal refractive indices of CdWO4 were obtained in the visible range. At λ = 633 nm, nX = 2.09 ± 0.01, nYnX = 0.052 ± 0.001, and nZnX = 0.114 ± 0.002.

© 1987 Optical Society of America

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References

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  1. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).
  2. A. Nussbaum, R. A. Phillips, Contemporary Optics for Scientists and Engineers (Prentice-Hall, Englewood Cliffs, N.J., 1976).
  3. M. V. Klein, Optics (Wiley, New York, 1970).
  4. G. N. Ramachandran, S. Ramaseshan, in Handbuch der Physik, S. Flugge, ed. (Springer-Verlagn, Berli, 1961), Vol. 25/1.
  5. H. Lotem, U. Laor, Appl. Opt. 25, 1271 (1986).
    [CrossRef] [PubMed]
  6. This convention, known as the Porto notation, is commonly used in describing polarizations of Raman scattered light.
  7. M. R. Farukhi, IEEE Trans. Nucl. Sci. NS-29, 1237 (1982).
    [CrossRef]
  8. R. H. Gilette, Rev. Sci. Instrum. 21, 294 (1950).
    [CrossRef]
  9. A. P. Chichagov, V. V. Iliukhin, N. Belov, Sov. Phys. Dokl. 11, 11(1966).
  10. F. C. Zumsteg, J. D. Bierlein, T. E. Gier, J. Appl. Phys. 47, 4980 (1976);W. R. Cook, L. M. Hubby, J. Opt. Soc. Am. 66, 72 (1976).
    [CrossRef]

1986 (1)

1982 (1)

M. R. Farukhi, IEEE Trans. Nucl. Sci. NS-29, 1237 (1982).
[CrossRef]

1976 (1)

F. C. Zumsteg, J. D. Bierlein, T. E. Gier, J. Appl. Phys. 47, 4980 (1976);W. R. Cook, L. M. Hubby, J. Opt. Soc. Am. 66, 72 (1976).
[CrossRef]

1966 (1)

A. P. Chichagov, V. V. Iliukhin, N. Belov, Sov. Phys. Dokl. 11, 11(1966).

1950 (1)

R. H. Gilette, Rev. Sci. Instrum. 21, 294 (1950).
[CrossRef]

Belov, N.

A. P. Chichagov, V. V. Iliukhin, N. Belov, Sov. Phys. Dokl. 11, 11(1966).

Bierlein, J. D.

F. C. Zumsteg, J. D. Bierlein, T. E. Gier, J. Appl. Phys. 47, 4980 (1976);W. R. Cook, L. M. Hubby, J. Opt. Soc. Am. 66, 72 (1976).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).

Chichagov, A. P.

A. P. Chichagov, V. V. Iliukhin, N. Belov, Sov. Phys. Dokl. 11, 11(1966).

Farukhi, M. R.

M. R. Farukhi, IEEE Trans. Nucl. Sci. NS-29, 1237 (1982).
[CrossRef]

Gier, T. E.

F. C. Zumsteg, J. D. Bierlein, T. E. Gier, J. Appl. Phys. 47, 4980 (1976);W. R. Cook, L. M. Hubby, J. Opt. Soc. Am. 66, 72 (1976).
[CrossRef]

Gilette, R. H.

R. H. Gilette, Rev. Sci. Instrum. 21, 294 (1950).
[CrossRef]

Iliukhin, V. V.

A. P. Chichagov, V. V. Iliukhin, N. Belov, Sov. Phys. Dokl. 11, 11(1966).

Klein, M. V.

M. V. Klein, Optics (Wiley, New York, 1970).

Laor, U.

Lotem, H.

Nussbaum, A.

A. Nussbaum, R. A. Phillips, Contemporary Optics for Scientists and Engineers (Prentice-Hall, Englewood Cliffs, N.J., 1976).

Phillips, R. A.

A. Nussbaum, R. A. Phillips, Contemporary Optics for Scientists and Engineers (Prentice-Hall, Englewood Cliffs, N.J., 1976).

Ramachandran, G. N.

G. N. Ramachandran, S. Ramaseshan, in Handbuch der Physik, S. Flugge, ed. (Springer-Verlagn, Berli, 1961), Vol. 25/1.

Ramaseshan, S.

G. N. Ramachandran, S. Ramaseshan, in Handbuch der Physik, S. Flugge, ed. (Springer-Verlagn, Berli, 1961), Vol. 25/1.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).

Zumsteg, F. C.

F. C. Zumsteg, J. D. Bierlein, T. E. Gier, J. Appl. Phys. 47, 4980 (1976);W. R. Cook, L. M. Hubby, J. Opt. Soc. Am. 66, 72 (1976).
[CrossRef]

Appl. Opt. (1)

IEEE Trans. Nucl. Sci. (1)

M. R. Farukhi, IEEE Trans. Nucl. Sci. NS-29, 1237 (1982).
[CrossRef]

J. Appl. Phys. (1)

F. C. Zumsteg, J. D. Bierlein, T. E. Gier, J. Appl. Phys. 47, 4980 (1976);W. R. Cook, L. M. Hubby, J. Opt. Soc. Am. 66, 72 (1976).
[CrossRef]

Rev. Sci. Instrum. (1)

R. H. Gilette, Rev. Sci. Instrum. 21, 294 (1950).
[CrossRef]

Sov. Phys. Dokl. (1)

A. P. Chichagov, V. V. Iliukhin, N. Belov, Sov. Phys. Dokl. 11, 11(1966).

Other (5)

This convention, known as the Porto notation, is commonly used in describing polarizations of Raman scattered light.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).

A. Nussbaum, R. A. Phillips, Contemporary Optics for Scientists and Engineers (Prentice-Hall, Englewood Cliffs, N.J., 1976).

M. V. Klein, Optics (Wiley, New York, 1970).

G. N. Ramachandran, S. Ramaseshan, in Handbuch der Physik, S. Flugge, ed. (Springer-Verlagn, Berli, 1961), Vol. 25/1.

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Figures (2)

Fig. 1
Fig. 1

Schematic view of bireflection in an anisotropic material prism. Unpolarized light splits into four polarized beams on internal reflection.

Fig. 2
Fig. 2

Principal refractive indices versus wavelength spectra in CdWO4 crystal obtained by bireflectance. The dashed curves drawn through the experimental points are for clarity.

Equations (2)

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I θ ( X , X ) = arcsin [ n X cos ( β ) ] , II θ ( Y , X ) = arcsin { n Y cos [ β + arcsin ( n X / n Y sin ( β ) ] } , III θ ( Y , Z ) = arcsin { n Y cos [ β + arcsin ( n Z / n Y sin ( β ) ] } , IV θ ( X , Z ) = arcsin { n X cos [ β + arcsin ( n Z / n X sin ( β ) ] } ,
δ n = δ θ ctg β + ( 1 / n ) ( 0.5 + ctg β ) ( δ θ ) 2 ,

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