Abstract

Coherent holographic grating interconnect systems exhibit deleterious interference effects when multiple optical beams are fanned into a single beam with the use of multiplexed gratings. Elimination of such effects is possible with the use of arrays of incoherent sources for readout, temporal sequencing, random phase modulation of the readout beams, or allocated volume configurations. The merits and drawbacks of each alternative are analyzed.

© 1991 Optical Society of America

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References

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  1. J. W. Goodman, Opt. Acta 32, 1489 (1985).
    [CrossRef]
  2. H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
  3. A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. Patel, Opt. Eng. 29, 215 (1990).
    [CrossRef]
  4. J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
    [CrossRef]

1990

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. Patel, Opt. Eng. 29, 215 (1990).
[CrossRef]

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

1985

J. W. Goodman, Opt. Acta 32, 1489 (1985).
[CrossRef]

1969

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).

Florez, L. T.

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Opt. Acta 32, 1489 (1985).
[CrossRef]

Habiby, S. F.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. Patel, Opt. Eng. 29, 215 (1990).
[CrossRef]

Harbison, J. P.

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

Hubbard, W. M.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. Patel, Opt. Eng. 29, 215 (1990).
[CrossRef]

Jewell, J. L.

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

Kogelnik, H.

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).

Lee, Y. H.

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

Marrakchi, A.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. Patel, Opt. Eng. 29, 215 (1990).
[CrossRef]

McCall, S. L.

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

Olsson, N. A.

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

Patel, J.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. Patel, Opt. Eng. 29, 215 (1990).
[CrossRef]

Scherer, A.

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

Bell Syst. Tech. J.

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).

Opt. Acta

J. W. Goodman, Opt. Acta 32, 1489 (1985).
[CrossRef]

Opt. Eng.

A. Marrakchi, W. M. Hubbard, S. F. Habiby, J. Patel, Opt. Eng. 29, 215 (1990).
[CrossRef]

J. L. Jewell, Y. H. Lee, A. Scherer, S. L. McCall, N. A. Olsson, J. P. Harbison, L. T. Florez, Opt. Eng. 29, 210 (1990).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Recording and readout of multiple gratings in a photorefractive medium with one object beam interfering with several reference beams. Fan-in occurs during readout when all the reference beams diffract simultaneously to recreate the object beam.

Fig. 2
Fig. 2

Interference effects caused by the diffraction of two coherent beams along the same direction. (a), (b) The individual diffracted beams just outside the crystal. (c) The resulting fringes when there is a small angle between the diffracted beams.

Fig. 3
Fig. 3

Illustration of the elimination of the interference fringes with the phase-averaging technique: (a) without phase modulation, (b) with one of the readout beams modulated.

Equations (7)

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= 0 + j = 1 N j cos ( K j · r ) ,
R j = R j ( z ) exp ( i ρ j · r ) ,             j = 1 , 2 , , N
ρ j - K j = σ ,             j = 1 , 2 , , N .
2 a + ω 2 μ 0 0 a = 0 ,
a = j = 1 N R j ( z ) exp ( i ρ j · r ) + S ( z ) exp ( i σ · r ) .
S + 1 C s j = 1 N κ j 2 C j S = 0 .
S ( d ) = - i sin [ d C s ( j = 1 N κ j 2 ) 1 / 2 ] j = 1 N κ j R j ( 0 ) ( j = 1 N κ j 2 ) 1 / 2 ,

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