Abstract

We show how to tailor the depth of focus for an optical system using pupil functions obtained from a Fourier transform approach. These complex amplitude and phase pupil functions are encoded onto a single liquid-crystal spatial light modulator. Experimental results show excellent agreement with theory and indicate the power of this approach.

© 2007 Optical Society of America

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References

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2001 (2)

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1989 (1)

1985 (1)

1982 (1)

D. C. Youla and H. Webb, IEEE Trans. Med. Imaging MI-1, 81 (1982).
[CrossRef]

1964 (1)

Amako, J.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 105l (1999).

Berriel-Valdos, L. R.

Campos, J.

Cottrell, D. M.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 105l (1999).

J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, Appl. Opt. 38, 5004 (1999).
[CrossRef]

Davis, J. A.

Diaz, A.

Escalera, J. C.

Gundu, P. N.

Hack, E.

Iemmi, C.

Jia, J.

Jin, G.

Klein, M. V.

M. V. Klein, Optics (Wiley, 1970), Chap. 9.3.

Ledesma, S.

Liu, H.

Liu, L.

Marquez, A.

McCutchen, C. W.

Montes, E.

Moreno, I.

Ojeda-Castañeda, J.

Rosen, J.

Shamir, J.

Sonehara, T.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 105l (1999).

Sun, Z.

Tepichin, E.

Tsai, P.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 105l (1999).

Webb, H.

D. C. Youla and H. Webb, IEEE Trans. Med. Imaging MI-1, 81 (1982).
[CrossRef]

Yan, Y.

Youla, D. C.

D. C. Youla and H. Webb, IEEE Trans. Med. Imaging MI-1, 81 (1982).
[CrossRef]

Yzuel, M. J.

Zhou, C.

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Figures (3)

Fig. 1
Fig. 1

Iterative filter design.

Fig. 2
Fig. 2

Amplitude and phase distributions for functions that give an axial response: (a), (b) rectangle having 9 points; (c), (d) two 9-point rectangles separated by 21 points.

Fig. 3
Fig. 3

Axial intensity response (arbitrary units) obtained for (a) uniform pupil, (b) 9 point rectangle, (c) 21 point rectangle, (d) 41 point rectangle, (e) triangle, (f) two 15 point rectangles separated by 25 points.

Equations (4)

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

E ( x 2 = 0 , y 2 = 0 , z ) = i λ z 0 a p ( r ) exp ( i k r 2 2 f ) exp ( i k r 2 2 z ) 2 π r d r .
E ( u ) q ( s ) exp ( i 2 π u 0 s ) exp ( i 2 π u s ) d s .
E ( u ) δ ( u u 0 ) Q ( u ) .
L = ( 2 m λ f 2 N 2 ) ( N 1 a 2 ) .

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