Abstract

We describe procedures for measuring retardation, the uniformity of retardation, and optical axis alignment of birefringent crystals.

© 1991 Optical Society of America

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References

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  1. J. W. Harvey, J. R. Kennedy, J. W. Leibacher, “GONG: To See Inside Our Sun,” Sky Telesc. 74, 470 (1987).
  2. H. G. Jerrard, “Optical Compensators for Measurement of Elliptical Polarization,” J. Opt. Soc. Am. 38, 35 (1948).
    [CrossRef]
  3. D. A. Holmes, “Exact Theory of Retardation Plates,” J. Opt. Soc. Am. 54, 1115–1120 (1964).
    [CrossRef]
  4. P. D. Hale, G. W. Day, “Stability of Birefringent Linear Retarders (Waveplates),” Appl. Opt. 27, 5146–5153 (1988).
    [CrossRef] [PubMed]
  5. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, The Art of Scientific Computing (Cambridge, U.P., London, 1986), p. 292.
  6. M. S. Caceci, W. P. Cacheris, “Fitting Curves to Data,” Byte 9 (5), 340 (1984).
  7. J. M. Beckers, R. B. Dunn, “A Ray-Tracing Program for Birefringent Filters,” Air Force Cambridge Research Laboratories Instrumentation Papers, 75, AFCRL-65-605 (1965), pp. 1–42.
  8. K. Creath, “Phase-Measurement Interferometry Techniques,” Prog. Opt. 26, 351–398 (1988).

1988 (2)

K. Creath, “Phase-Measurement Interferometry Techniques,” Prog. Opt. 26, 351–398 (1988).

P. D. Hale, G. W. Day, “Stability of Birefringent Linear Retarders (Waveplates),” Appl. Opt. 27, 5146–5153 (1988).
[CrossRef] [PubMed]

1987 (1)

J. W. Harvey, J. R. Kennedy, J. W. Leibacher, “GONG: To See Inside Our Sun,” Sky Telesc. 74, 470 (1987).

1984 (1)

M. S. Caceci, W. P. Cacheris, “Fitting Curves to Data,” Byte 9 (5), 340 (1984).

1964 (1)

1948 (1)

Beckers, J. M.

J. M. Beckers, R. B. Dunn, “A Ray-Tracing Program for Birefringent Filters,” Air Force Cambridge Research Laboratories Instrumentation Papers, 75, AFCRL-65-605 (1965), pp. 1–42.

Caceci, M. S.

M. S. Caceci, W. P. Cacheris, “Fitting Curves to Data,” Byte 9 (5), 340 (1984).

Cacheris, W. P.

M. S. Caceci, W. P. Cacheris, “Fitting Curves to Data,” Byte 9 (5), 340 (1984).

Creath, K.

K. Creath, “Phase-Measurement Interferometry Techniques,” Prog. Opt. 26, 351–398 (1988).

Day, G. W.

Dunn, R. B.

J. M. Beckers, R. B. Dunn, “A Ray-Tracing Program for Birefringent Filters,” Air Force Cambridge Research Laboratories Instrumentation Papers, 75, AFCRL-65-605 (1965), pp. 1–42.

Flannery, B. P.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, The Art of Scientific Computing (Cambridge, U.P., London, 1986), p. 292.

Hale, P. D.

Harvey, J. W.

J. W. Harvey, J. R. Kennedy, J. W. Leibacher, “GONG: To See Inside Our Sun,” Sky Telesc. 74, 470 (1987).

Holmes, D. A.

Jerrard, H. G.

Kennedy, J. R.

J. W. Harvey, J. R. Kennedy, J. W. Leibacher, “GONG: To See Inside Our Sun,” Sky Telesc. 74, 470 (1987).

Leibacher, J. W.

J. W. Harvey, J. R. Kennedy, J. W. Leibacher, “GONG: To See Inside Our Sun,” Sky Telesc. 74, 470 (1987).

Press, W. H.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, The Art of Scientific Computing (Cambridge, U.P., London, 1986), p. 292.

Teukolsky, S. A.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, The Art of Scientific Computing (Cambridge, U.P., London, 1986), p. 292.

Vetterling, W. T.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, The Art of Scientific Computing (Cambridge, U.P., London, 1986), p. 292.

Appl. Opt. (1)

Byte (1)

M. S. Caceci, W. P. Cacheris, “Fitting Curves to Data,” Byte 9 (5), 340 (1984).

J. Opt. Soc. Am. (2)

Prog. Opt. (1)

K. Creath, “Phase-Measurement Interferometry Techniques,” Prog. Opt. 26, 351–398 (1988).

Sky Telesc. (1)

J. W. Harvey, J. R. Kennedy, J. W. Leibacher, “GONG: To See Inside Our Sun,” Sky Telesc. 74, 470 (1987).

Other (2)

J. M. Beckers, R. B. Dunn, “A Ray-Tracing Program for Birefringent Filters,” Air Force Cambridge Research Laboratories Instrumentation Papers, 75, AFCRL-65-605 (1965), pp. 1–42.

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, The Art of Scientific Computing (Cambridge, U.P., London, 1986), p. 292.

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Figures (3)

Fig. 1.
Fig. 1.

Plot of (A) wavelength vs transmission of the transmission base line, (B) the maximum variation of wavelength vs transmission, and (C) the ratio B/A.

Fig. 2.
Fig. 2.

Configuration for determining (A) uniformity of birefringence, (B) digital retardation map, and (C) optical axis alignment.

Fig. 3.
Fig. 3.

Contour plot of the retardation variation across the field of a calcite retarder. Each major division represents λ/100.

Equations (4)

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N = ( b d ) / λ .
b ( λ , T ) = 8.8641 × 1 0 3 + 1.07057 × 10 4 λ 2 + 1.9893 × 10 6 λ 4 1.7175 × 10 4 λ 2 T × 10 6 × ( 1 + T / 900 ) × ( 1.01 + 0.2 λ 2 ) ,
t mod = 1 + cos 2 ϕ ( cos 2 2 θ 1 + cos 2 N sin 2 2 θ 1 ) + 1 / 2 sin 2 ϕ sin 4 θ 1 ( 1 cos 2 N ) 1 + cos 2 ϕ ( cos 2 2 θ 2 + cos 2 N sin 2 2 θ 2 ) + 1 / 2 sin 2 ϕ sin 4 θ 2 ( 1 cos 2 N ) .
i = 3437 0.633 n t ,

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