Abstract

We propose a novel design method that incorporates multiple-layer relief profiles of diffractive phase elements to implement integrated operations on the incident beams according to their wavelengths. We demonstrate simultaneous wavelength-division demultiplexing, arbitrary (even random) wavelength shuffling or routing, spatial focusing, and other manipulations of multiwavelength beams, such as irradiance profile shaping, with design examples for applications in three-dimensional optical interconnects.

© 2000 Optical Society of America

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References

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  1. For example, H. P. Herzig, ed., Micro-optics: Elements, Systems, and Applications (Taylor & Francis, Bristol, UK, 1997).
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    [CrossRef]
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    [CrossRef]
  4. B. Dong, G. Zhang, G. Yang, B. Gu, S. Zeng, D. Li, Y. Chen, X. Cui, and H. Liu, Appl. Opt. 35, 6859 (1996), and references therein.
    [CrossRef] [PubMed]
  5. R. W. Gerchberg and W. O. Saxton, Optik (Stuttgart) 35, 237 (1972).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  12. C. Tocci and H. J. Caulfield, eds., Optical Interconnection: Foundations and Applications (Artech House, Boston, Mass., 1994), Chaps. 2, 4, 7, and 9.
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    [CrossRef]
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    [CrossRef] [PubMed]

2000 (2)

1999 (3)

1998 (3)

K. Takasago, M. Takekawa, M. Suzuki, K. Komori, and F. Kannari, IEEE J. Sel. Top. Quantum Electron. 4, 346 (1998).
[CrossRef]

T. Glasers, S. Schröter, and H. Bartelt, Opt. Lett. 23, 1933 (1998).
[CrossRef]

J. Bengtsson, Appl. Opt. 37, 2011 (1998).
[CrossRef]

1997 (2)

1996 (2)

1986 (1)

1980 (1)

J. R. Fienup, Opt. Eng. 19, 297 (1980).
[CrossRef]

1972 (1)

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

Bartelt, H.

Barton, I. M.

Bengtsson, J.

Bipin, B.

Blair, P.

Chen, R. T.

Chen, Y.

Cui, X.

Deng, X.

Dong, B.

Fan, D.

Fienup, J. R.

Gan, J.

Gerchberg, R. W.

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

Glasers, T.

Gu, B.

Kannari, F.

K. Takasago, M. Takekawa, M. Suzuki, K. Komori, and F. Kannari, IEEE J. Sel. Top. Quantum Electron. 4, 346 (1998).
[CrossRef]

Komori, K.

K. Takasago, M. Takekawa, M. Suzuki, K. Komori, and F. Kannari, IEEE J. Sel. Top. Quantum Electron. 4, 346 (1998).
[CrossRef]

Li, D.

Li, Y.

Liu, H.

Miller, D.

Piestun, R.

Qiu, Y.

Raguin, D. H.

Sales, T. R. M.

Saxton, W. O.

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

Schröter, S.

Sheng, Y.

Song, H.

Suzuki, M.

K. Takasago, M. Takekawa, M. Suzuki, K. Komori, and F. Kannari, IEEE J. Sel. Top. Quantum Electron. 4, 346 (1998).
[CrossRef]

Taghizadeh, M. R.

Takasago, K.

K. Takasago, M. Takekawa, M. Suzuki, K. Komori, and F. Kannari, IEEE J. Sel. Top. Quantum Electron. 4, 346 (1998).
[CrossRef]

Takekawa, M.

K. Takasago, M. Takekawa, M. Suzuki, K. Komori, and F. Kannari, IEEE J. Sel. Top. Quantum Electron. 4, 346 (1998).
[CrossRef]

Wang, Z.

Yang, G.

Zeng, S.

Zhang, G.

Zhao, F.

Zhou, G.

Appl. Opt. (6)

IEEE J. Sel. Top. Quantum Electron. (1)

K. Takasago, M. Takekawa, M. Suzuki, K. Komori, and F. Kannari, IEEE J. Sel. Top. Quantum Electron. 4, 346 (1998).
[CrossRef]

J. Opt. Soc. Am. A (3)

Opt. Eng. (1)

J. R. Fienup, Opt. Eng. 19, 297 (1980).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Optik (Stuttgart) (1)

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

Other (2)

C. Tocci and H. J. Caulfield, eds., Optical Interconnection: Foundations and Applications (Artech House, Boston, Mass., 1994), Chaps. 2, 4, 7, and 9.

For example, H. P. Herzig, ed., Micro-optics: Elements, Systems, and Applications (Taylor & Francis, Bristol, UK, 1997).

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Figures (3)

Fig. 1
Fig. 1

Schematic illustration of multiwavelength optical interconnects in 3-D space. Beams at several wavelengths from an array of lasers or light-emitting diodes at S overlap on the first DPE at P1. Several layers of DPE’s can be used to achieve almost any distribution Itλw,r in target region T.

Fig. 2
Fig. 2

Irradiance distributions on the target plane of the two-layered 3-D DPE’s for simultaneous WDDM, random WSR, spatial focusing, and shaping of the irradiance profiles of the multiple-wavelength incident beams.

Fig. 3
Fig. 3

Surface profiles of (a) the first DPE and (b) the second DPE. Notice the feature size of the reliefs in the magnified profile (c).

Tables (1)

Tables Icon

Table 1 Summary of Quantitative Evaluation of the Integrated Operations: Energy Confinement Factor Ec,m, Profile rms t,m, and Cross Talk Xm,n, m, n=1…4, and nm

Equations (5)

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Ui,l+1λw,r=U0,lλw,r=P{Ui,lλw,rTlλw,rexp[jϕlλw,r},ϕlλw,r=2πλwnrλw-nsλwhlr=kwehlr,
Ui,lλw,rexpjkwehlnr1+jkweδhlnrP-1U0,lλw,r, w=1,2,3,,NW,
hln+1r=hlnr+1w=1NWl,wn×w=1NWl,wnIP-1U0,lnλw,rkweUi,lnλw,rexpjkwehlnr,
Ec,m=Rm,m/Cm, Xm,n=Rm,n/Rm,m, nm,
Rm,n=xt,n-σ0xt,n+σ0Itλm,rdxdy-+Itλm,rdxdy,Cm=xt,m-σ0xt,m+σ0Ii,tλm,rdxdy-+Ii,tλm,rdxdy.

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