Abstract

A rhomb consisting of two dense flint equilateral prisms may be used to deviate light and introduce polarization effects analogous to those of the Fresnel rhomb which displaces light. Because of the high index of the prism material (μD=1.650), the wavelength response of the prism rhomb is superior to that of the classical low index Fresnel rhomb. Perpendicular transit of glass surfaces and invariance of the direction of the emergent light apply for both types, but in other respects the rhombs are complementary. In addition, the necessary prisms are widely available commercially.

© 1952 Optical Society of America

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References

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  1. F. A. Jenkins and H. E. White, Fundamentals of Optics (McGraw-Hill Book Company, Inc., New York, 1950), second edition, p. 565, give the absolute phase changes of the two vibrations upon total internal reflection. Subtracting these phase changes using the difference formula for two arctangents gives Eq. (1).

Jenkins, F. A.

F. A. Jenkins and H. E. White, Fundamentals of Optics (McGraw-Hill Book Company, Inc., New York, 1950), second edition, p. 565, give the absolute phase changes of the two vibrations upon total internal reflection. Subtracting these phase changes using the difference formula for two arctangents gives Eq. (1).

White, H. E.

F. A. Jenkins and H. E. White, Fundamentals of Optics (McGraw-Hill Book Company, Inc., New York, 1950), second edition, p. 565, give the absolute phase changes of the two vibrations upon total internal reflection. Subtracting these phase changes using the difference formula for two arctangents gives Eq. (1).

Other (1)

F. A. Jenkins and H. E. White, Fundamentals of Optics (McGraw-Hill Book Company, Inc., New York, 1950), second edition, p. 565, give the absolute phase changes of the two vibrations upon total internal reflection. Subtracting these phase changes using the difference formula for two arctangents gives Eq. (1).

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Figures (2)

Fig. 1
Fig. 1

Light path in typical Fresnel rhomb, θ=48°30′ for μD=1.511.

Fig. 2
Fig. 2

Light path in modified rhomb, θ=60° and μD=1.650.

Tables (1)

Tables Icon

Table I Relative phase shift of horizontal and vertical vibrations by rhomb consisting of two equilateral glass prisms (θ=60° and μD=1.650) and by Fresnel rhomb (θ=48°30′ and μD=1.511).

Equations (1)

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Δ = 4 tan - 1 { [ ( μ 2 sin 2 θ - 1 ) 1 2 / μ sin θ ] cot θ } ,