Abstract

For the first time to our knowledge, a detailed theoretical basis is provided for the well-known inverse-square scaling law of holographic diffraction, which states that replay diffraction efficiency η=Γ/M2, where M is the number of gratings stored and Γ is a constant system parameter. This law is shown to hold for photopolymer recording media governed by the predictions of the nonlocal polymerization-driven diffusion model. On the basis of the analysis, we (i) propose a media inverse scaling law, (ii) relate Γ to photopolymer material parameters and the hologram geometry and replay conditions, and (iii) comment on the form and validity of the diffraction efficiency inverse-square scaling law for higher-diffraction-efficiency gratings.

© 2005 Optical Society of America

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References

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2004 (4)

2003 (2)

F. T. O’Neill, J. R. Lawrence, and J. T. Sheridan, Appl. Opt. 42, 3435 (2003).
[CrossRef]

J. V. Kelly, F. T. O’Neill, and J. T. Sheridan, Proc. SPIE 5216, 127 (2003).
[CrossRef]

2002 (2)

2001 (3)

G. W. Burr, C. M. Jefferson, H. Coufal, M. Jurich, J. A. Hoffnagle, R. M. Macfarlane, and R. M. Shelby, Opt. Lett. 26, 444 (2001).
[CrossRef]

J. R. Lawrence, F. T. O’Neill, and J. T. Sheridan, J. Appl. Phys. 90, 3142 (2001).
[CrossRef]

J. T. Sheridan, M. Downey, and F. T. O’Neill, J. Opt. A:?Pure Appl. Opt. 3, 477 (2001).
[CrossRef]

2000 (1)

1998 (3)

1996 (1)

1992 (1)

Agranat, A. J.

Aubrecht, I.

I. Aubrecht, M. Miler, and I. Koudela, J. Mod. Opt. 45, 1465 (1998).
[CrossRef]

Brady, D.

Burr, G. W.

Chevallier, R.

Chou, W.-C.

Coufal, H.

Downey, M.

J. T. Sheridan, M. Downey, and F. T. O’Neill, J. Opt. A:?Pure Appl. Opt. 3, 477 (2001).
[CrossRef]

Glytsis, E. N.

S.-D. Wu and E. N. Glytsis, J. Opt. Soc. Am. A 21, 1722 (2004).

Hoffnagle, J. A.

Jefferson, C. M.

Jurich, M.

Kaiser, J.-L.

Kelly, J. V.

J. T. Sheridan, F. T. O’Neill, and J. V. Kelly, J. Opt. Soc. Am. B 21, 1443 (2004).
[CrossRef]

J. V. Kelly, F. T. O’Neill, and J. T. Sheridan, Proc. SPIE 5216, 127 (2003).
[CrossRef]

Keskinoz, M.

Koudela, I.

I. Aubrecht, M. Miler, and I. Koudela, J. Mod. Opt. 45, 1465 (1998).
[CrossRef]

Kumar, B. V. K. V.

Lawrence, J. R.

Macfarlane, R. M.

Massenot, S.

Miler, M.

I. Aubrecht, M. Miler, and I. Koudela, J. Mod. Opt. 45, 1465 (1998).
[CrossRef]

Mok, F. H.

Neifeld, M. A.

O’Neill, F. T.

Pesach, B.

Psaltis, D.

Refaeli, E.

Renotte, Y.

Shelby, R. M.

Sheridan, J. T.

Syms, R. R. A.

R. R. A. Syms, Practical Volume Holography (Oxford U. Press, Oxford, England, 1991).

Wu, S.-D.

S.-D. Wu and E. N. Glytsis, J. Opt. Soc. Am. A 21, 1722 (2004).

Appl. Opt. (5)

J. Appl. Phys. (1)

J. R. Lawrence, F. T. O’Neill, and J. T. Sheridan, J. Appl. Phys. 90, 3142 (2001).
[CrossRef]

J. Mod. Opt. (1)

I. Aubrecht, M. Miler, and I. Koudela, J. Mod. Opt. 45, 1465 (1998).
[CrossRef]

J. Opt. A: Pure Appl. Opt. (1)

J. T. Sheridan, M. Downey, and F. T. O’Neill, J. Opt. A:?Pure Appl. Opt. 3, 477 (2001).
[CrossRef]

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

J. Opt. Soc. Am. B (2)

Opt. Lett. (3)

Proc. SPIE (1)

J. V. Kelly, F. T. O’Neill, and J. T. Sheridan, Proc. SPIE 5216, 127 (2003).
[CrossRef]

Other (2)

R. R. A. Syms, Practical Volume Holography (Oxford U. Press, Oxford, England, 1991).

H. J. Coufal, D. Psaltis, and G. T. Sincerbox, eds., Holographic Data Storage, Springer Series in Optical Sciences (Springer-Verlag, Berlin, 2000).
[CrossRef]

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Figures (1)

Fig. 1
Fig. 1

lnN1 as a function of lnM for 10<M<1000. The different curves (A–D) correspond to different combinations of values of R,S, and γ (see Table 1).

Tables (1)

Tables Icon

Table 1 NPDD based Predictions14 of the Constant Appearing in Eq. (5)

Equations (7)

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η=ΓM2,
η-1=sin2πn1dλ cosθB,
η-1=J122πn1dλ cosθB.
η-1πn1dλ cosθB2.
N1τ0R,S,γ+τ-1R,S,γM,
η-1πdλ cosθBCτ-1R,S,γ21M2.
Γ=πdCτ-1R,S,γλ cosθB2.

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