Abstract

It has been demonstrated that a Bi12SiO20 crystal is a good holographic recording medium. Using this crystal as a real-time recording device, a two-wavelength holographic interferometer has been constructed. The 488- and 514.5-nm lines of an Ar-ion laser were used as the source to yield an equivalent wavelength of 9.47 μm.

© 1984 Optical Society of America

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References

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  1. D. Malacara, Optical Shop Testing (Wiley-Interscience, New York, 1978).
  2. S. S. Lam, Chris L. Koliopoulos, J. C. Wyant, “Optical Metrology with Two-Wavelength Real-Time Holography,” J. Opt. Soc. Am. 70, 1591 (1980).
  3. F. M. Kuchel, H. J. Tiziani, “Real-Time Contour Holography Using BSO Crystals,” Opt. Commun. 38, 17 (1981).
    [CrossRef]
  4. J. P. Herrian, J. P. Huignard, P. Aubourg, “Some Polarization Properties of Volume Hologram in Bi12SiO20 Crystals and Application,” Appl. Opt. 17, 1851 (1978).
    [CrossRef]
  5. R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).
  6. J. D. Gaskill, Linear Systems, Fourier Transform, and Optics (Wiley, New York, 1978).
  7. J. P. Huignard, J. P. Herrian, G. Rivet, “Phase-Conjugation and Spatial-Frequency Dependence of Wavefront Reflectivity in Bi12SiO20 Crystals,” Opt. Lett. 5, 102 (1980).
    [CrossRef] [PubMed]
  8. J. D. Gaskill, P. Lam, J. C. Wyant, “Dependence of the Diffraction Efficiency of Bi12SiO20 on Recording Parameters,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 144 (1982).

1982 (1)

J. D. Gaskill, P. Lam, J. C. Wyant, “Dependence of the Diffraction Efficiency of Bi12SiO20 on Recording Parameters,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 144 (1982).

1981 (1)

F. M. Kuchel, H. J. Tiziani, “Real-Time Contour Holography Using BSO Crystals,” Opt. Commun. 38, 17 (1981).
[CrossRef]

1980 (2)

S. S. Lam, Chris L. Koliopoulos, J. C. Wyant, “Optical Metrology with Two-Wavelength Real-Time Holography,” J. Opt. Soc. Am. 70, 1591 (1980).

J. P. Huignard, J. P. Herrian, G. Rivet, “Phase-Conjugation and Spatial-Frequency Dependence of Wavefront Reflectivity in Bi12SiO20 Crystals,” Opt. Lett. 5, 102 (1980).
[CrossRef] [PubMed]

1978 (1)

Aubourg, P.

Burckhardt, C. B.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Collier, R. J.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Gaskill, J. D.

J. D. Gaskill, P. Lam, J. C. Wyant, “Dependence of the Diffraction Efficiency of Bi12SiO20 on Recording Parameters,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 144 (1982).

J. D. Gaskill, Linear Systems, Fourier Transform, and Optics (Wiley, New York, 1978).

Herrian, J. P.

Huignard, J. P.

Koliopoulos, Chris L.

S. S. Lam, Chris L. Koliopoulos, J. C. Wyant, “Optical Metrology with Two-Wavelength Real-Time Holography,” J. Opt. Soc. Am. 70, 1591 (1980).

Kuchel, F. M.

F. M. Kuchel, H. J. Tiziani, “Real-Time Contour Holography Using BSO Crystals,” Opt. Commun. 38, 17 (1981).
[CrossRef]

Lam, P.

J. D. Gaskill, P. Lam, J. C. Wyant, “Dependence of the Diffraction Efficiency of Bi12SiO20 on Recording Parameters,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 144 (1982).

Lam, S. S.

S. S. Lam, Chris L. Koliopoulos, J. C. Wyant, “Optical Metrology with Two-Wavelength Real-Time Holography,” J. Opt. Soc. Am. 70, 1591 (1980).

Lin, L. H.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Malacara, D.

D. Malacara, Optical Shop Testing (Wiley-Interscience, New York, 1978).

Rivet, G.

Tiziani, H. J.

F. M. Kuchel, H. J. Tiziani, “Real-Time Contour Holography Using BSO Crystals,” Opt. Commun. 38, 17 (1981).
[CrossRef]

Wyant, J. C.

J. D. Gaskill, P. Lam, J. C. Wyant, “Dependence of the Diffraction Efficiency of Bi12SiO20 on Recording Parameters,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 144 (1982).

S. S. Lam, Chris L. Koliopoulos, J. C. Wyant, “Optical Metrology with Two-Wavelength Real-Time Holography,” J. Opt. Soc. Am. 70, 1591 (1980).

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

S. S. Lam, Chris L. Koliopoulos, J. C. Wyant, “Optical Metrology with Two-Wavelength Real-Time Holography,” J. Opt. Soc. Am. 70, 1591 (1980).

Opt. Commun. (1)

F. M. Kuchel, H. J. Tiziani, “Real-Time Contour Holography Using BSO Crystals,” Opt. Commun. 38, 17 (1981).
[CrossRef]

Opt. Lett. (1)

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

J. D. Gaskill, P. Lam, J. C. Wyant, “Dependence of the Diffraction Efficiency of Bi12SiO20 on Recording Parameters,” Proc. Soc. Photo-Opt. Instrum. Eng. 370, 144 (1982).

Other (3)

D. Malacara, Optical Shop Testing (Wiley-Interscience, New York, 1978).

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

J. D. Gaskill, Linear Systems, Fourier Transform, and Optics (Wiley, New York, 1978).

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Figures (7)

Fig. 1
Fig. 1

Configuration of two-wavelength holographic interferometer.

Fig. 2
Fig. 2

Direction of reconstructed wave. A and B are the reconstruction waves. A′ and B′ are the respective reconstructed waves. A is at Bragg’s incidence.

Fig. 3
Fig. 3

ϕ is the angle of incidence at the prism. Δ is the angular deviation of the blue light from the green light.

Fig. 4
Fig. 4

Under- and over-match of Δ with 2δ. In this example, θ1 is 3.25° when Δ equals 2δ.

Fig. 5
Fig. 5

Interferometer with no test optic; λeq = 9.47 μm.

Fig. 6
Fig. 6

Spherical concave ophthalmic lens: (a) no tilt; (b) small amount of tilt.

Fig. 7
Fig. 7

Cylindrical concave ophthalmic lens: (a) no tilt; (b) small amount of tilt; (c) large amount of tilt.

Equations (3)

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λ eq = λ 1 λ 2 λ 1 - λ 2 ,
Δ = sin - 1 { 1.657 sin [ 45 - sin - 1 ( sin ϕ 1.657 ) ] } - sin - 1 { 1.652 sin [ 45 - sin - 1 ( sin ϕ 1.652 ) ] } .
sin θ 1 λ 1 = sin θ 1 λ 2 , δ = θ 1 - θ 2 = θ 1 - sin - 1 [ 488 514.5 sin θ 1 ] .

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