Abstract

We discuss the manufacture and use of a prism pair to measure the refractive index of thin liquid films with a spectrometer. The method requires only a drop of liquid and is accurate to ∼2 × 10-4.

© 2001 Optical Society of America

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References

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  1. F. A. Jenkins, H. E. White, Fundamentals of Optics, 4th ed. (McGraw-Hill, New York, 1976).
  2. P. Fleury, J.-P. Mathieu, Lumière (Eyrolles, Paris, 1961).
  3. Spettrogoniometro Universale Model 040c (Officine Galileo, Florence, Italy).
  4. S. Lionti-Addad, J.-M. di Meglio, “Stabilization of aqueous foam by hydrosoluble polymers. 1. Sodium dodecyl sulfate-poly(ethylene oxide) system,” Langmuir 8, 324–327 (1992).
    [CrossRef]
  5. R. C. Weast, ed., Handbook of Chemistry and Physics, 52nd ed. (Chemical Rubber Company, Cleveland, Ohio, 1971–1972), p. E-203.

1992

S. Lionti-Addad, J.-M. di Meglio, “Stabilization of aqueous foam by hydrosoluble polymers. 1. Sodium dodecyl sulfate-poly(ethylene oxide) system,” Langmuir 8, 324–327 (1992).
[CrossRef]

di Meglio, J.-M.

S. Lionti-Addad, J.-M. di Meglio, “Stabilization of aqueous foam by hydrosoluble polymers. 1. Sodium dodecyl sulfate-poly(ethylene oxide) system,” Langmuir 8, 324–327 (1992).
[CrossRef]

Fleury, P.

P. Fleury, J.-P. Mathieu, Lumière (Eyrolles, Paris, 1961).

Jenkins, F. A.

F. A. Jenkins, H. E. White, Fundamentals of Optics, 4th ed. (McGraw-Hill, New York, 1976).

Lionti-Addad, S.

S. Lionti-Addad, J.-M. di Meglio, “Stabilization of aqueous foam by hydrosoluble polymers. 1. Sodium dodecyl sulfate-poly(ethylene oxide) system,” Langmuir 8, 324–327 (1992).
[CrossRef]

Mathieu, J.-P.

P. Fleury, J.-P. Mathieu, Lumière (Eyrolles, Paris, 1961).

White, H. E.

F. A. Jenkins, H. E. White, Fundamentals of Optics, 4th ed. (McGraw-Hill, New York, 1976).

Langmuir

S. Lionti-Addad, J.-M. di Meglio, “Stabilization of aqueous foam by hydrosoluble polymers. 1. Sodium dodecyl sulfate-poly(ethylene oxide) system,” Langmuir 8, 324–327 (1992).
[CrossRef]

Other

R. C. Weast, ed., Handbook of Chemistry and Physics, 52nd ed. (Chemical Rubber Company, Cleveland, Ohio, 1971–1972), p. E-203.

F. A. Jenkins, H. E. White, Fundamentals of Optics, 4th ed. (McGraw-Hill, New York, 1976).

P. Fleury, J.-P. Mathieu, Lumière (Eyrolles, Paris, 1961).

Spettrogoniometro Universale Model 040c (Officine Galileo, Florence, Italy).

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Figures (3)

Fig. 1
Fig. 1

Schematic layout of the prism assembly. The setup is made of two equal prisms, reversed and facing each other, with a thin liquid film in between (not to scale). n 2 is the absolute refractive index of the glass, n 1 is the absolute refractive index of the surrounding medium, and α is the prism vertex angle. (a) Approaching the critical-angle condition, the light is refracted at the liquid–film interface and is transmitted. (b) When the critical-angle condition is achieved, the light just ceases to be transmitted and starts undergoing total internal reflection; i c is the critical angle, and i is the external incidence angle that corresponds to i c .

Fig. 2
Fig. 2

Plot of the absolute refractive index n x as a function of the incidence angle i as computed from Eq. (1) with α = 60°, n = 1.8.

Fig. 3
Fig. 3

Fabrication of two equal prisms from a single one obtained by means of sawing along the dashed section.

Equations (3)

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nx=n sinα+arc sin1nsin i,
δnx=c1δn+c2δi+c3δα,
c2=cos i cosα+arc sin1nsin i1-1nsin i21/2.

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