Abstract

An off-axis cyclic radial shearing interferometer (OCRSI) to test a centrally blocked transient wavefront is proposed. Based on the standard cyclic radial shearing interferometer (CRSI), the OCRSI consists of a beam splitter, two folding mirrors, and a Galilean telescope. With the same but reversal tilt introduced to the two mirrors in OCRSI, the shearing interferogram can be obtained even when the central part of the test aperture is blocked. An improved wavefront retrieval method for OCRSI is employed, and a method to obtain the laterally sheared amount between the contracted and expanded beams is proposed. Numerical simulation and comparison experiments with a ZYGO GPI interferometer demonstrate that the OCRSI exhibits high precision and nice repeatability.

© 2013 Optical Society of America

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References

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2011 (1)

2009 (1)

N. I. Toto-Arellano, G. Rodriguez-Zurita, C. Meneses-Fabian, and J. F. Vazquez-Castillo, J. Opt. A 11, 45704 (2009).
[CrossRef]

2008 (2)

2007 (2)

D. Liu, Y. Yang, L. Wang, and Y. Zhuo, Appl. Opt. 46, 8305 (2007).
[CrossRef]

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

1982 (1)

1961 (1)

P. Hariharan and D. Sen, J. Sci. Instrum. 38, 428 (1961).
[CrossRef]

Bao, B.

Chen, B.

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

Gu, N.

Hariharan, P.

P. Hariharan and D. Sen, J. Sci. Instrum. 38, 428 (1961).
[CrossRef]

Huang, L.

Ina, H.

Kobayashi, S.

Li, D.

Li, F.

Liu, D.

D. Liu, Y. Yang, L. Wang, and Y. Zhuo, Appl. Opt. 46, 8305 (2007).
[CrossRef]

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

Luo, Q.

Malacara, D.

D. Malacara, Optical Shop Testing (Wiley, 1978).

Meneses-Fabian, C.

N. I. Toto-Arellano, G. Rodriguez-Zurita, C. Meneses-Fabian, and J. F. Vazquez-Castillo, J. Opt. A 11, 45704 (2009).
[CrossRef]

Pen, H. S.

Qin, X.

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

Rao, C.

Rodriguez-Zurita, G.

N. I. Toto-Arellano, G. Rodriguez-Zurita, C. Meneses-Fabian, and J. F. Vazquez-Castillo, J. Opt. A 11, 45704 (2009).
[CrossRef]

Sen, D.

P. Hariharan and D. Sen, J. Sci. Instrum. 38, 428 (1961).
[CrossRef]

Takeda, M.

Toto-Arellano, N. I.

N. I. Toto-Arellano, G. Rodriguez-Zurita, C. Meneses-Fabian, and J. F. Vazquez-Castillo, J. Opt. A 11, 45704 (2009).
[CrossRef]

Vazquez-Castillo, J. F.

N. I. Toto-Arellano, G. Rodriguez-Zurita, C. Meneses-Fabian, and J. F. Vazquez-Castillo, J. Opt. A 11, 45704 (2009).
[CrossRef]

Wang, L.

Wang, Q.

Wen, F.

Weng, J.

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

Xu, J. C.

Xu, Q.

Yang, Y.

D. Liu, Y. Yang, L. Wang, and Y. Zhuo, Appl. Opt. 46, 8305 (2007).
[CrossRef]

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

Yang, Z.

Zhang, X.

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

Zhao, Y.

Zhuo, Y.

Appl. Opt. (2)

J. Opt. A (1)

N. I. Toto-Arellano, G. Rodriguez-Zurita, C. Meneses-Fabian, and J. F. Vazquez-Castillo, J. Opt. A 11, 45704 (2009).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Sci. Instrum. (1)

P. Hariharan and D. Sen, J. Sci. Instrum. 38, 428 (1961).
[CrossRef]

Opt. Commun. (1)

D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, Opt. Commun. 275, 173 (2007).
[CrossRef]

Opt. Lett. (2)

Other (1)

D. Malacara, Optical Shop Testing (Wiley, 1978).

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Figures (6)

Fig. 1.
Fig. 1.

Schematic diagram of the contracted and expanded beams in the CRSI with model blocking. (a) Contracted beam, (b) expanded beam, and (c) shearogram of these two beams.

Fig. 2.
Fig. 2.

Optical layout of the OCRSI used for transient hypersonic flow field testing.

Fig. 3.
Fig. 3.

Schematic diagram of the transmitted beam path reflected by M1 and M2 with vertical tilt.

Fig. 4.
Fig. 4.

Schematic diagram of the shearogram in OCRSI.

Fig. 5.
Fig. 5.

Simulation results: (a) original wavefront, (b) interferogram with spatial carrier, (c) wavefront retrieved using OCRSI wavefront retrieval method, and (d) residual error between the simulation result and the original wavefront.

Fig. 6.
Fig. 6.

Comparison experiment results between OCRSI and ZYGO GPI interferometer. (a) Interferogram obtained by OCRSI; (b) and (c) are wavefronts measured by OCRSI and ZYGO GPI, respectively.

Tables (1)

Tables Icon

Table 1. Comparison Between OCRSI and ZYGO GPI

Equations (8)

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k1·n1=k2·n1,(k2k1)×n1=0,},
k2·n2=k3·n2,(k3k2)×n2=0.}.
n1x=n2x,n1y=n2z,n1z=n2y.
ΔW(x/s,y/s)=W(x/s,y/s)W(sx+Δu,sy+Δv).
W(x/s,y/s)=ΔW(x/s,y/s)+n=1NΔW[xs2n1±Δu(k=0n1s2k),ys2n1±Δv(k=0n1s2k)].
s2OP=OP.
s2OQ=OQ.
Δu=(1/s21)ε,Δv=(1/s21)η.

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