Abstract

Results for three λ/4 phase retarders are reported. One of them is achromatic to within ±0.06° of 90° in the visible region. It is shown that, under certain conditions, oblique incidence on the entrance face of total internal reflection phase retarders can greatly improve the achromaticity.

© 1994 Optical Society of America

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References

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  1. J. M. Bennett, H. E. Bennett, “Polarization,” in Handbook of Optics, W. G. Driscoll, ed. (McGraw-Hill, New York, 1978), Chap. 10, pp. 119–124.
  2. F. A. Jenkins, H. E. White, Fundamentals of Optics, (McGraw-Hill, New York, 1957), pp. 513–515.
  3. R. J. King, “Quarter-wave retardation systems based on the Fresnel rhomb principle,” J. Sci. Instrum. 43, 617–622 (1966).
    [CrossRef]
  4. P. B. Clapham, M. J. Downs, R. J. King, “Some applications of thin films to polarization devices,” Appl. Opt. 8, 1965–1974 (1969).
    [CrossRef] [PubMed]
  5. E. Spiller, “Totally reflecting thin film phase retarders,” Appl. Opt. 23, 3544–3549 (1984).
    [CrossRef] [PubMed]
  6. V. A. Kizel, Yu. I. Krasilov, V. N. Shamraev, “Achromatic λ/4 device,” Opt. Spectrosc. 17, 248–249 (1964).
  7. Yu. I. Krasilov, “High-speed achromatic quarter-wave device,” Opt. Spectrosc. 22, 267–268 (1967).
  8. I. Filinski, T. Skettrup, “Achromatic phase retarders constructed from right-angle prisms: design,” Appl. Opt. 23, 2747–2751 (1984).
    [CrossRef] [PubMed]
  9. U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).
  10. I. N. Shklayarevskii, V. P. Kostyuk, L. G. Lelyuk, R. G. Yarovaya, “On the magnitude and sign of the phase difference Δ = δp − δs resulting from total internal reflection,” Opt. Spectrosc. 18, 476–478 (1965).
  11. D. Clarke, J. F. Grainger, Polarized Light and Optical Measurements (Pergamon, Oxford, 1971), Chap. 2, p. 70.

1988 (1)

U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).

1984 (2)

1969 (1)

1967 (1)

Yu. I. Krasilov, “High-speed achromatic quarter-wave device,” Opt. Spectrosc. 22, 267–268 (1967).

1966 (1)

R. J. King, “Quarter-wave retardation systems based on the Fresnel rhomb principle,” J. Sci. Instrum. 43, 617–622 (1966).
[CrossRef]

1965 (1)

I. N. Shklayarevskii, V. P. Kostyuk, L. G. Lelyuk, R. G. Yarovaya, “On the magnitude and sign of the phase difference Δ = δp − δs resulting from total internal reflection,” Opt. Spectrosc. 18, 476–478 (1965).

1964 (1)

V. A. Kizel, Yu. I. Krasilov, V. N. Shamraev, “Achromatic λ/4 device,” Opt. Spectrosc. 17, 248–249 (1964).

Bennett, H. E.

J. M. Bennett, H. E. Bennett, “Polarization,” in Handbook of Optics, W. G. Driscoll, ed. (McGraw-Hill, New York, 1978), Chap. 10, pp. 119–124.

Bennett, J. M.

J. M. Bennett, H. E. Bennett, “Polarization,” in Handbook of Optics, W. G. Driscoll, ed. (McGraw-Hill, New York, 1978), Chap. 10, pp. 119–124.

Clapham, P. B.

Clarke, D.

D. Clarke, J. F. Grainger, Polarized Light and Optical Measurements (Pergamon, Oxford, 1971), Chap. 2, p. 70.

Downs, M. J.

Filinski, I.

Grainger, J. F.

D. Clarke, J. F. Grainger, Polarized Light and Optical Measurements (Pergamon, Oxford, 1971), Chap. 2, p. 70.

Jenkins, F. A.

F. A. Jenkins, H. E. White, Fundamentals of Optics, (McGraw-Hill, New York, 1957), pp. 513–515.

Khasanov, E. G.

U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).

King, R. J.

P. B. Clapham, M. J. Downs, R. J. King, “Some applications of thin films to polarization devices,” Appl. Opt. 8, 1965–1974 (1969).
[CrossRef] [PubMed]

R. J. King, “Quarter-wave retardation systems based on the Fresnel rhomb principle,” J. Sci. Instrum. 43, 617–622 (1966).
[CrossRef]

Kizel, V. A.

V. A. Kizel, Yu. I. Krasilov, V. N. Shamraev, “Achromatic λ/4 device,” Opt. Spectrosc. 17, 248–249 (1964).

Klochkov, A. A.

U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).

Kostyuk, V. P.

I. N. Shklayarevskii, V. P. Kostyuk, L. G. Lelyuk, R. G. Yarovaya, “On the magnitude and sign of the phase difference Δ = δp − δs resulting from total internal reflection,” Opt. Spectrosc. 18, 476–478 (1965).

Krasilov, Yu. I.

Yu. I. Krasilov, “High-speed achromatic quarter-wave device,” Opt. Spectrosc. 22, 267–268 (1967).

V. A. Kizel, Yu. I. Krasilov, V. N. Shamraev, “Achromatic λ/4 device,” Opt. Spectrosc. 17, 248–249 (1964).

Lelyuk, L. G.

I. N. Shklayarevskii, V. P. Kostyuk, L. G. Lelyuk, R. G. Yarovaya, “On the magnitude and sign of the phase difference Δ = δp − δs resulting from total internal reflection,” Opt. Spectrosc. 18, 476–478 (1965).

Shamraev, V. N.

V. A. Kizel, Yu. I. Krasilov, V. N. Shamraev, “Achromatic λ/4 device,” Opt. Spectrosc. 17, 248–249 (1964).

Shklayarevskii, I. N.

I. N. Shklayarevskii, V. P. Kostyuk, L. G. Lelyuk, R. G. Yarovaya, “On the magnitude and sign of the phase difference Δ = δp − δs resulting from total internal reflection,” Opt. Spectrosc. 18, 476–478 (1965).

Skettrup, T.

Sokolov, B. Yu.

U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).

Spiller, E.

Tugushev, R. I.

U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).

Valiev, U. V.

U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).

White, H. E.

F. A. Jenkins, H. E. White, Fundamentals of Optics, (McGraw-Hill, New York, 1957), pp. 513–515.

Yarovaya, R. G.

I. N. Shklayarevskii, V. P. Kostyuk, L. G. Lelyuk, R. G. Yarovaya, “On the magnitude and sign of the phase difference Δ = δp − δs resulting from total internal reflection,” Opt. Spectrosc. 18, 476–478 (1965).

Appl. Opt. (3)

J. Sci. Instrum. (1)

R. J. King, “Quarter-wave retardation systems based on the Fresnel rhomb principle,” J. Sci. Instrum. 43, 617–622 (1966).
[CrossRef]

Opt. Spectrosc. (4)

U. V. Valiev, A. A. Klochkov, B. Yu. Sokolov, R. I. Tugushev, E. G. Khasanov, “Magnetic circular dichroism of Tb3+ rare-earth ion in paramagnetic garnet,” Opt. Spectrosc. 64, 711–713 (1988).

I. N. Shklayarevskii, V. P. Kostyuk, L. G. Lelyuk, R. G. Yarovaya, “On the magnitude and sign of the phase difference Δ = δp − δs resulting from total internal reflection,” Opt. Spectrosc. 18, 476–478 (1965).

V. A. Kizel, Yu. I. Krasilov, V. N. Shamraev, “Achromatic λ/4 device,” Opt. Spectrosc. 17, 248–249 (1964).

Yu. I. Krasilov, “High-speed achromatic quarter-wave device,” Opt. Spectrosc. 22, 267–268 (1967).

Other (3)

D. Clarke, J. F. Grainger, Polarized Light and Optical Measurements (Pergamon, Oxford, 1971), Chap. 2, p. 70.

J. M. Bennett, H. E. Bennett, “Polarization,” in Handbook of Optics, W. G. Driscoll, ed. (McGraw-Hill, New York, 1978), Chap. 10, pp. 119–124.

F. A. Jenkins, H. E. White, Fundamentals of Optics, (McGraw-Hill, New York, 1957), pp. 513–515.

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Figures (4)

Fig. 1
Fig. 1

Optical paths in (a) the Fresnel rhomb and (b) the right-angled prism. The value of θ in (b) is for n = 1.516.

Fig. 2
Fig. 2

Variation of phase retardation δ with angles of total internal reflection θ.

Fig. 3
Fig. 3

Optical paths in the phase retarders. The initial and end limits of refractive indices n and total internal reflection angles θ are shown on each retarder. Dimensions are for a 1-cm light beam.

Fig. 4
Fig. 4

Variation of phase retardation with refractive index n for the retarders shown in Fig. 3 and for the Fresnel rhomb (FR).

Tables (1)

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Table 1 Properties of Retarders

Equations (10)

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δ ( n ) = 2 tan - 1 [ cos θ ( n 2 sin 2 θ - 1 ) 1 / 2 / n sin 2 θ ] ,
δ ( n ) = 2 tan - 1 [ cos θ 1 ( n 2 sin 2 θ 1 - 1 ) 1 / 2 / n sin 2 θ 1 ] ,
δ = f 1 ( n , θ 1 ) ,             θ 1 = f 2 ( n ) .
Δ δ ( δ / n ) Δ n + ( δ / θ ) Δ θ ,
Δ θ ( d θ / d n ) Δ n .
Δ δ / Δ n [ ( δ / n ) + ( δ / θ ) ( d θ / d n ) ] .
retardation = 141.1534 n - 126.1172.
retardation = 129.7669 n - 109.062.
t p = 2 sin t cos i / sin ( i + t ) cos ( i - t ) ,
t s = 2 sin t cos i / sin ( i + t ) .

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