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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 52, Iss. 5 — May. 1, 1962
  • pp: 562–563

Theory of Measurement of Flow Birefringence by Use of the Sénarmont Compensator

C. A. HOLLINGSWORTH and W. T. GRANQUIST  »View Author Affiliations


JOSA, Vol. 52, Issue 5, pp. 562-563 (1962)
http://dx.doi.org/10.1364/JOSA.52.000562


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Abstract

The mathematical theory of the operation of the Sénarmont compensator for measuring flow birefringence is developed. Equations are obtained for the motion and intensity of the cross of isocline. It is shown that the equation used by Rich is good for small values of the retardation but does not describe accurately the behavior of the cross of isocline for large retardations. In particular it is found that the collapse of the cross occurs when the analyzer is at an angle less than ½δ. The angle ½δ is the position of the analyzer at which the darkness of the already collapsed cross is a maximum.

Citation
C. A. HOLLINGSWORTH and W. T. GRANQUIST, "Theory of Measurement of Flow Birefringence by Use of the Sénarmont Compensator," J. Opt. Soc. Am. 52, 562-563 (1962)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-52-5-562


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References

  1. A. Rich, J. Opt. Soc. Am. 45, 393 (1955). Earlier references are given in this paper.
  2. For a recent review of the theory of flow birefringence and many references see H. G. Jerrard, Chem. Revs. 59, 345 (1959).
  3. See for example, H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).
  4. Rich used the angle γ in place of θ, and his equations, therefore, deal with the occluded light (the light not transmitted) instead of the light transmitted. Thus his Eq. (6), which corresponds to Eq. (6) in the present paper, gives the maximum of the occluded light. The two equations are, therefore, equivalent.

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