Abstract

We demonstrate an experimental method to obtain a continuously variable hybrid imaging system that uses two generalized cubic phase masks, to enable real-time optimization of the trade between extended depth-of-field and noise gain. We obtain point-spread functions as a function of the rotation angle and show an example of optimization based on recovered image quality.

© 2010 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef] [PubMed]

2010

2009

2006

2004

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, Proc. SPIE 5559, 335 (2004).
[CrossRef]

2001

1999

1995

Andersson, M.

Bosch, S.

G. Carles, G. Muyo, S. Bosch, and A. R. Harvey, J. Mod. Opt. (2010).

Bustin, N.

Carles, G.

G. Carles, G. Muyo, S. Bosch, and A. R. Harvey, J. Mod. Opt. (2010).

Cathey, T. W.

Chi, W.

Demenikov, M.

Dowski, E.

E. Dowski and T. W. Cathey, Appl. Opt. 34, 1859(1995).
[CrossRef] [PubMed]

E. Dowski, “Mechanically-adjustable optical phase filters for modifying depth of field, aberration-tolerance, anti-aliasing in optical systems,” U.S. patent 7,180,673 (February 20, 2007).

Findlay, E.

George, N.

Greivenkamp, J. E.

Harvey, A. R.

Huckridge, D.

Mezouari, S.

Mitchell, T. A.

T. A. Mitchell and J. M. Sasian, Proc. SPIE 3705, 209(1999).
[CrossRef]

Muyo, G.

Palusinski, I. A.

Pauca, V. P.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, Proc. SPIE 5559, 335 (2004).
[CrossRef]

Plemmons, R. J.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, Proc. SPIE 5559, 335 (2004).
[CrossRef]

Prasad, S.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, Proc. SPIE 5559, 335 (2004).
[CrossRef]

Sasian, J. M.

Singh, A.

Torgersen, T. C.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, Proc. SPIE 5559, 335 (2004).
[CrossRef]

van der Gracht, J.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, Proc. SPIE 5559, 335 (2004).
[CrossRef]

Vettenburg, T.

Wood, A.

Appl. Opt.

J. Mod. Opt.

G. Carles, G. Muyo, S. Bosch, and A. R. Harvey, J. Mod. Opt. (2010).

J. Opt. Soc. Am. A

Opt. Express

Opt. Lett.

Proc. SPIE

T. A. Mitchell and J. M. Sasian, Proc. SPIE 3705, 209(1999).
[CrossRef]

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, Proc. SPIE 5559, 335 (2004).
[CrossRef]

Other

E. Dowski, “Mechanically-adjustable optical phase filters for modifying depth of field, aberration-tolerance, anti-aliasing in optical systems,” U.S. patent 7,180,673 (February 20, 2007).

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Figures (4)

Fig. 1
Fig. 1

Combination of two generalized cubic phase masks to control the amount of extended DoF: (a) single phase mask, where the values of α and β have been magnified (normally α and β are of the order of micrometers), (b) position of cancellation of extended DoF, and (c) maximum extended DoF.

Fig. 2
Fig. 2

Experimental setup consisting of Nikon 300 mm lens, two generalized cubic phase masks on rotational stages, and a Retiga 1300 camera.

Fig. 3
Fig. 3

Experimental PSFs as a function of relative angle between the two generalized phase masks: (a) 60 ° , (b) 55 ° , (c) 50 ° , (d) 45 ° .

Fig. 4
Fig. 4

Spoke target imaged with a phase mask rotated by (a), (e) 60 ° ; (b), (f) 55 ° ; (c), (g) 50 ° ; and (d), (h) 45 ° . Upper row is in focus and lower row is defocused. All images have been restored using the optimum PSFs corresponding to the defocus distance. The optimal phase modulation is that given by 55 ° [(b), (f)], since this yields the highest contrast at both in- and out-of-focus. The variance is shown below each image.

Equations (2)

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z ( x , y ) = α ( x 3 + y 3 ) + β ( x 2 y + y 2 x ) ,
z ( r , θ , φ ) = 2 cos ( 3 φ / 2 ) α r 3 cos ( 3 θ ) .

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