Abstract

A common-path interferometer is proposed with a tri-window. It is built using a 4f optical system with Ronchi ruling as a spatial filter. The input rectangular aperture is formed by three windows; the central window supports a phase object, and the other two are used for reference beams. Using an appropriate grating period relative to input aperture size, an interferogram containing three patterns can be obtained in the output plane. The object phase can then be reconstructed from the three patterns using just one interferogram. The experiments are carried out to demonstrate the feasibility and reliability of the proposed scheme.

© 2012 Optical Society of America

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References

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2011

2008

2006

2004

2003

J. Primot, Opt. Commun. 222, 81 (2003).
[CrossRef]

1974

Arrizón, V.

Brangaccio, D. J.

Bruning, J. H.

Chan, T. K.

Fang, S.

Ford, J. E.

Gallagher, J. E.

Glückstad, J.

Herriott, D. R.

Karp, J. H.

Komori, M.

Meneses-Fabian, C.

Meng, P.

Palima, D.

Primot, J.

J. Primot, Opt. Commun. 222, 81 (2003).
[CrossRef]

Rodrigo, P. J.

Rodriguez-Zurita, G.

Rosenfeld, D. P.

Sánchez-de-la-Llave, D.

Toto-Arellano, N.

Vázquez-Castillo, J. F.

Wang, L.

White, A. D.

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Figures (4)

Fig. 1.
Fig. 1.

Experiment setup.

Fig. 2.
Fig. 2.

Arrangement of the Ronchi ruling.

Fig. 3.
Fig. 3.

Experimental interferogram.

Fig. 4.
Fig. 4.

Retrieved wavefront: (a) the wrapped phase and (b) the unwrapped phase.

Equations (18)

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tf(x,y)=t(x,y)*g(x,y),
G(u,v)=rect(uaw)*n=δ(uμ0nfd),
g(x,y)=aw1fdn=exp(i2πnμ01fd)×sinc(naw1fd)δ(xn1fd,y).
tf(x,y)=n=Cn·t(xn1fd,y),
Cn=aw1fdexp(i2πnμ01fd)sinc(naw1fd).
t(x,y)=w(x+D3,y)+w(x,y)exp[iφ(x,y)]+w(xD3,y),
C0=aw1fd,
C1=aw1fdexp(i2πμ01fd)sinc(aw1fd)=Aexp(iθ),
C1=aw1fdexp(i2πμ01fd)sinc(aw1fd)=Aexp(iθ),
t0f=t(x,y)C0,
t1f=t(x1fd,y)Aexp(iθ),
t1f=t(x+1fd,y)Aexp(iθ).
ID/3=C02+A2+2C0Acos[φ(x+D3,y)θ],
I0=C02+4A2cos2θ+4C0Acosθcos[φ(x,y)],
ID/3=C02+A2+2C0Acos[φ(xD3,y)+θ].
I0=4C0Acosθcos[φ(x,y)].
ID/3ID/3=4C0Asinθsin[φ(x,y)].
φ(x,y)=arctan[sin[φ(x,y)]cos[φ(x,y)]]=arctan[P(ID/3ID/3)P(I0)],

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