Abstract

The implementation of a new type of phase-shifting, self-referencing interferometer that simultaneously achieves the phase shift and separation of beams with a stationary diffraction grating is described. The capabilities of stroboscopic interferometry are demonstrated with results from an experiment in which the rapidly varying surface deformations of a sonically activated pellicle mirror are measured in a time-sliced fashion at 50-μsec intervals.

© 1987 Optical Society of America

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References

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  1. J. C. Wyant, Laser Focus 18 (5), 65 (1982).
  2. O. Y. Kwon, Opt. Lett. 9, 59 (1984).
    [CrossRef] [PubMed]
  3. O. Y. Kwon, D. M. Shough, Proc. Soc. Photo-Opt. Instrum. Eng. 599, 273 (1985).

1985 (1)

O. Y. Kwon, D. M. Shough, Proc. Soc. Photo-Opt. Instrum. Eng. 599, 273 (1985).

1984 (1)

1982 (1)

J. C. Wyant, Laser Focus 18 (5), 65 (1982).

Kwon, O. Y.

O. Y. Kwon, D. M. Shough, Proc. Soc. Photo-Opt. Instrum. Eng. 599, 273 (1985).

O. Y. Kwon, Opt. Lett. 9, 59 (1984).
[CrossRef] [PubMed]

Shough, D. M.

O. Y. Kwon, D. M. Shough, Proc. Soc. Photo-Opt. Instrum. Eng. 599, 273 (1985).

Wyant, J. C.

J. C. Wyant, Laser Focus 18 (5), 65 (1982).

Laser Focus (1)

J. C. Wyant, Laser Focus 18 (5), 65 (1982).

Opt. Lett. (1)

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

O. Y. Kwon, D. M. Shough, Proc. Soc. Photo-Opt. Instrum. Eng. 599, 273 (1985).

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Figures (4)

Fig.1
Fig.1

Mach–Zehnder radial-shear grating interferometer.

Fig. 2
Fig. 2

Stroboscopic laser interferometry experiment: schematic of the apparatus.

Fig. 3
Fig. 3

Data reduction of interferograms measured from resting pellicle mirror: (a) raw intensity interferograms with 90° relative phase shift recorded at the three focal planes; (b) modulo 2π phase map generated from interferograms in (a) using Eq. (3); (c) unwrapped phase map generated by resolving the 2π phase ambiguities in (b).

Fig. 4
Fig. 4

Three-dimensional surface plots of stroboscopically measured, high-speed surface deformation of a pellicle mirror. Frames are shown at 50-μsec intervals following the sonic impact.

Equations (5)

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I ( x , y ) = I b ( x , y ) + I m ( x , y ) cos [ ϕ ( x , y ) + δ ] ,
I A ( x , y ) = I b ( x , y ) + I m ( x , y ) cos [ ϕ ( x , y ) + π / 4 ] , I B ( x , y ) = I b ( x , y ) + I m ( x , y ) cos [ ϕ ( x , y ) + 3 π / 4 ] , I C ( x , y ) = I b ( x , y ) + I m ( x , y ) cos [ ϕ ( x , y ) + 5 π / 4 ] .
ϕ ( x , y ) = tan 1 [ I C ( x , y ) I B ( x , y ) I A ( x , y ) I B ( x , y ) ] .
G ( x x g , y ) = n g n exp [ i 2 π n ξ 0 ( x x g ) ] ,
δ n = 2 π n ξ 0 x g + P ( g n ) ,

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