Abstract

An improved sinusoidal phase plate is proposed by adding a new parameter to the conventional sinusoidal phase plate. A series of performance comparisons are made among various phase plates, including sinusoidal, cubic phase, and the modified logarithmic phase. The results demonstrate that the improved sinusoidal phase plate can further extend the depth of field in incoherent hybrid imaging systems, with lower surface relief phase structures fabricated in photoresist (AR-N 4340, ALL Resist, Germany).

© 2012 Optical Society of America

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References

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2012 (2)

2010 (2)

2008 (2)

2007 (2)

Q. Yang, L. Liu, and J. Sun, Opt. Commun. 272, 56 (2007).
[CrossRef]

N. Caron and Y. Sheng, Proc. SPIE 6832, 68321G (2007).
[CrossRef]

2006 (1)

2004 (4)

1995 (1)

Bu, J.

Caron, N.

N. Caron and Y. Sheng, Proc. SPIE 6832, 68321G (2007).
[CrossRef]

Castro, A.

Cathey, W. T.

Dowski, E. R.

Feng, H.

Komatsu, S.

Li, Q.

Li, Y.

Liu, L.

Q. Yang, L. Liu, and J. Sun, Opt. Commun. 272, 56 (2007).
[CrossRef]

Lohmann, A. W.

Mo, X.

Ojeda-Castañeda, J.

Sauceda, A.

Shen, S.

Sheng, Y.

N. Caron and Y. Sheng, Proc. SPIE 6832, 68321G (2007).
[CrossRef]

Sherif, S. S.

Sun, J.

Q. Yang, L. Liu, and J. Sun, Opt. Commun. 272, 56 (2007).
[CrossRef]

Takahashi, Y.

Wang, H.

H. Wang, W. Zhong, J. Wang, and D. Xia, J. Image Graph. 9, 828 (2004).

Wang, J.

J. Wang, S. Shen, Y. Yang, J. Bu, X. Zhao, and X.-C. Yuan, J. Display Technol. 8, 577 (2012).
[CrossRef]

H. Wang, W. Zhong, J. Wang, and D. Xia, J. Image Graph. 9, 828 (2004).

Xia, D.

H. Wang, W. Zhong, J. Wang, and D. Xia, J. Image Graph. 9, 828 (2004).

Yang, Q.

Q. Yang, L. Liu, and J. Sun, Opt. Commun. 272, 56 (2007).
[CrossRef]

Yang, Y.

Yuan, X.-C.

Zhao, H.

Zhao, X.

Zhong, W.

H. Wang, W. Zhong, J. Wang, and D. Xia, J. Image Graph. 9, 828 (2004).

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Figures (6)

Fig. 1.
Fig. 1.

(a) Phase profile, (b) Fisher information, and (c) Hilbert space angle curves of cubic, exponential, sinusoidal, and improved sinusoidal phase plates.

Fig. 2.
Fig. 2.

Defocused MTF with φ changing from 0 to 10π and TH is 0.15.

Fig. 3.
Fig. 3.

Comparison of FI curves among different phase plates.

Fig. 4.
Fig. 4.

Comparison of Hilbert space angle among between different phase plates.

Fig. 5.
Fig. 5.

Simulated imaging of spoke target (rows: φ=0, 10, and 20; the last row is point sharpness of images when φ=20).

Fig. 6.
Fig. 6.

Experimental imaging from clear aperture, middle image, and restoration image with zo=20.8cm.

Tables (1)

Tables Icon

Table 1. Optimum Parameters for Each Phase Plate

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

f(x,y)=ax4sin(βx)+ay4sin(βy),
f(x,y)=a|x|γsin(βx)+a|y|γsin(βy),
{P˜(x)=P(x)exp(jφx2)H(u,φ)P˜(x+u/2)×P˜*(xu/2)dxminparasφmaxφmax(01|Hφ|2du)dφsubject to:|H(u,φ)|duTH,
Pimage=i=1m×na=18|dI/dx|m×n.

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