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

2003

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

2001

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

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

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]

2000

1998

1996

1992

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.

J. Appl. Phys.

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

J. Mod. Opt.

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

J. Opt. A: Pure Appl. Opt.

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

J. Opt. Soc. Am. B

Opt. Lett.

Proc. SPIE

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

Other

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

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

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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)

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

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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