Abstract

The indices of refraction of ADP, KDP, and deuterated KDP were measured at temperatures between the Curie point and room temperature. The estimated accuracy of the data is ±0.0001. The empirical equation Δn = (n2+an+b)c(298 − T) where n is the index at room temperature, Δn is the change in index, and T is the temperature in °K, fits the measurements to within experimental error. The values of the constants a, b, and c are tabulated for each material, permitting n to be calculated for any temperature.

© 1966 Optical Society of America

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References

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  1. For a general review of nonlinear optical phenomena see N. Bloembergen, Nonlinear Optics (W. A. Benjamin Inc., New York, 1965), or P. A. Franken and J. F. Ward, Rev. Mod. Phys. 35, 23 (1963).
    [CrossRef]
  2. Frits Zernike, J. Opt. Soc. Am. 54, 1215 (1964), and corrections in J. Opt. Soc. Am. 55, 210E (1965).
    [CrossRef]
  3. J. W. Evans, in The Sun, edited by G. P. Kuiper (University of Chicago Press, Chicago, 1953), p. 633.
  4. B. Zwicker and P. Scherrer, Helv. Phys. Acta 17, 346 (1944).
  5. J. P. van der Ziel and N. Bloembergen, Phys. Rev. 135, 1662 (1964).
    [CrossRef]
  6. J. P. van der Ziel (private communication).

1964 (2)

1944 (1)

B. Zwicker and P. Scherrer, Helv. Phys. Acta 17, 346 (1944).

Bloembergen, N.

J. P. van der Ziel and N. Bloembergen, Phys. Rev. 135, 1662 (1964).
[CrossRef]

For a general review of nonlinear optical phenomena see N. Bloembergen, Nonlinear Optics (W. A. Benjamin Inc., New York, 1965), or P. A. Franken and J. F. Ward, Rev. Mod. Phys. 35, 23 (1963).
[CrossRef]

Evans, J. W.

J. W. Evans, in The Sun, edited by G. P. Kuiper (University of Chicago Press, Chicago, 1953), p. 633.

Scherrer, P.

B. Zwicker and P. Scherrer, Helv. Phys. Acta 17, 346 (1944).

van der Ziel, J. P.

J. P. van der Ziel and N. Bloembergen, Phys. Rev. 135, 1662 (1964).
[CrossRef]

J. P. van der Ziel (private communication).

Zernike, Frits

Zwicker, B.

B. Zwicker and P. Scherrer, Helv. Phys. Acta 17, 346 (1944).

Helv. Phys. Acta (1)

B. Zwicker and P. Scherrer, Helv. Phys. Acta 17, 346 (1944).

J. Opt. Soc. Am. (1)

Phys. Rev. (1)

J. P. van der Ziel and N. Bloembergen, Phys. Rev. 135, 1662 (1964).
[CrossRef]

Other (3)

J. P. van der Ziel (private communication).

J. W. Evans, in The Sun, edited by G. P. Kuiper (University of Chicago Press, Chicago, 1953), p. 633.

For a general review of nonlinear optical phenomena see N. Bloembergen, Nonlinear Optics (W. A. Benjamin Inc., New York, 1965), or P. A. Franken and J. F. Ward, Rev. Mod. Phys. 35, 23 (1963).
[CrossRef]

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Tables (6)

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Table I Dimensions of the prisms used in this study.

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Table II Index of refraction measurements for ammonium dihydrogen phosphate, NH4H2PO4. The indices are measured with respect to air. The estimated accuracy of all entries in this Table is ±0.0001.

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Table III Index of refraction measurements for potassium dihydrogen phosphate, KH2PO4. The indices are measured with respect to air. The estimated accuracy of all entries in this Table is ±0.0001.

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Table IV Index of refraction measurements for potassium dideuterium phosphate, KD2PO4. The indices are measured with respect to air. The estimated accuracy of all entries in this Table is ±0.0001.

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Table V Values of the constants a, b, c for determining the temperature change in index of refraction. The constants are defined by the equation Δn = (n2+an+b)c(298 − T).

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Table VI Comparison of present work with other reported measurements of the change of indices of refraction with temperature.

Equations (9)

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m λ = l ( n 0 - n e ) ,
d λ / d T = ( l / m ) { ( n 0 - n e ) / T + ( n 0 - n e ) ( 1 / l ) ( l / T ) } .
l / m = λ / ( n 0 - n e ) ,
( n 0 - n e ) / T = [ ( n 0 - n e ) / λ ] ( d λ / d T ) - ( n 0 - n e ) ( 1 / l ) ( l / T ) .
( n 0 - n e ) / T = - 4.8 × 10 - 5 per C ° .
n = sin [ δ m + ( A / 2 ) ] / sin ( A / 2 ) .
Δ n = c f ( n ) Δ T .
f ( n ) = n 2 + a n + b ,
Δ T = ( 298° K - T ) .