Abstract

We propose a novel multifunctional double-layered diffractive optical element (DOE) based on the fractional Talbot effect. This DOE consists of two layers: one is the encoding layer, in which multiple sub-DOEs, i.e., multiple optical functions, are encoded; the other is the decoding layer, which is a properly designed Talbot illuminator. This DOE can perform each of the multiple optical functions one by one by shifting the encoding layer. Experimental results demonstrate that this method is efficient. This device should be highly interesting for integrated optics, optical interconnection, secure optical storage, and dynamic optical fiber communications.

© 2003 Optical Society of America

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References

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2002

1999

1995

1993

1991

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

1988

A. W. Lohmann, Optik 79, 41 (1988).

1983

S. Kirckpatrick, Science 220, 671 (1983).
[CrossRef]

1972

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Arrizón, V.

Dai, E.

Farn, M. W.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Ichikawa, H.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Kirckpatrick, S.

S. Kirckpatrick, Science 220, 671 (1983).
[CrossRef]

Kress, B.

B. Kress and P. Meyrueis, Digital Diffractive Optics: An Introduction to Planar Diffractive Optics and Related Technology (Wiley, New York, 2000).

Liu, L.

Lohmann, A. W.

A. W. Lohmann, Optik 79, 41 (1988).

López-Olazagasti, E.

Medeiros, S. S.

Meyrueis, P.

B. Kress and P. Meyrueis, Digital Diffractive Optics: An Introduction to Planar Diffractive Optics and Related Technology (Wiley, New York, 2000).

Miller, J. M.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Noponen, E.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Stankovic, S.

Stern, M. B.

Taghizadeh, M. R.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Tschudi, T.

Turunen, J.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Vasara, A.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Veldkamp, W. B.

Westerholm, J.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Xi, P.

Zhou, C.

Appl. Opt.

J. Opt. Soc. Am. A

Opt. Commun.

J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, and J. M. Miller, Opt. Commun. 84, 383 (1991).
[CrossRef]

Opt. Lett.

Optik

A. W. Lohmann, Optik 79, 41 (1988).

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Science

S. Kirckpatrick, Science 220, 671 (1983).
[CrossRef]

Other

B. Kress and P. Meyrueis, Digital Diffractive Optics: An Introduction to Planar Diffractive Optics and Related Technology (Wiley, New York, 2000).

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Figures (3)

Fig. 1
Fig. 1

Illustration of a multifunctional double-layered diffractive optical element that can perform multiple optical functions one by one. The encoding method in this figure is only to illustrate the encoding of two functions (CGH1 and CGH2) within one period.

Fig. 2
Fig. 2

Methods for constructing a MFCGH with (a) the direct combination method and (b) the spatial constraints optimization method. Numerical results of these two methods are given in Table 1.

Fig. 3
Fig. 3

Two reconstructed images [(a) and (b)] are obtained in the experiment with a CCD camera by shifting the decoding layer in Fig. 1.

Tables (1)

Tables Icon

Table 1 Comparison of Numerical Optimization Results of the Two Methodsa

Equations (3)

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

Ufx,fy=Tfx,fyRfx,fy,
Rfx,fy=combtx,fxcombtyfy×1+expiπfxtx+Fyty,
uzx,y=mncmn expi2πmxtx+nytx×expi2πz2tx2/λ×8km2+kn2-km-kn2+14.

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