Abstract

Relief surface changes provide interesting possibilities for storing diffractive optical elements on photopolymers and are an important source of information for characterizing and understanding the material behavior. In this paper we use a 3-dimensional model, based on direct parameter measurements, for predicting the relief structures generated on without-coverplate photopolymers. We have analyzed different spatial frequency and recording intensity distributions such as binary and blazed periodic patterns. This model was successfully applied to different photopolymers with different values of monomer diffusion.

© 2012 OSA

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    [CrossRef]
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    [CrossRef] [PubMed]

2011

2010

E. Fernandez, A. Marquez, S. Gallego, R. Fuentes, C. García, and I. Pascual, “Hybrid Ternary Modulation Applied to Multiplexing Holograms in Photopolymers for Data Page Storage,” J. Lightwave Technol.28, 776–783 (2010).

M. S. Weiser, F. K. Bruder, T. Fäcke, D. Hönel, D. Jurbergs, and T. Rölle, “Self-processing, diffusion-based photopolymers for holographic applications,” Macromol. Symp.296(1), 133–137 (2010).
[CrossRef]

A. Márquez, S. Gallego, M. Ortuño, E. Fernández, M. L. Álvarez, A. Beléndez, and I. Pascual, “Generation of diffractive optical elements onto a photopolymer using a liquid crystal display,” Proc. SPIE7717, 77170D, 77170D–12 (2010).
[CrossRef]

2009

2007

2006

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
[CrossRef]

J. Zhang, K. Kasala, A. Rewari, and K. Saravanamuttu, “Self-trapping of spatially and temporally incoherent white light in a photochemical medium,” J. Am. Chem. Soc.128(2), 406–407 (2006).
[CrossRef] [PubMed]

2005

F. T. O’Neill, A. J. Carr, S. M. Daniels, M. R. Gleeson, J. V. Kelly, J. R. Lawrence, and J. T. Sheridan, “Refractive elements produced in photopolymer layers,” J. Mater. Sci.40(15), 4129–4132 (2005).
[CrossRef]

J. V. Kelly, M. R. Gleeson, C. E. Close, F. T. O’Neill, J. T. Sheridan, S. Gallego, and C. Neipp, “Temporal analysis of grating formation in photopolymer using the nonlocal polymerization-driven diffusion model,” Opt. Express13(18), 6990–7004 (2005).
[CrossRef] [PubMed]

2003

2002

2001

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays,” Opt. Eng.40(11), 2558–2564 (2001).
[CrossRef]

2000

X. Wang, D. Wilson, R. Muller, P. Maker, and D. Psaltis, “Liquid-crystal blazed-grating beam deflector,” Appl. Opt.39(35), 6545–6555 (2000).
[CrossRef] [PubMed]

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

1999

S. Abe and J. T. Sheridan, “Curvature correction model of droplet profiles,” Phys. Lett. A253(5–6), 317–321 (1999).
[CrossRef]

1997

L. M. C. Sagis, “Generalized curvature expansion for the surface internal energy,” Physica A246(3–4), 591–608 (1997).
[CrossRef]

1995

1992

Abe, S.

S. Abe and J. T. Sheridan, “Curvature correction model of droplet profiles,” Phys. Lett. A253(5–6), 317–321 (1999).
[CrossRef]

Álvarez, M. L.

A. Márquez, S. Gallego, M. Ortuño, E. Fernández, M. L. Álvarez, A. Beléndez, and I. Pascual, “Generation of diffractive optical elements onto a photopolymer using a liquid crystal display,” Proc. SPIE7717, 77170D, 77170D–12 (2010).
[CrossRef]

Ashley, J.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Beléndez, A.

Bernal, M.-P.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Bruder, F. K.

M. S. Weiser, F. K. Bruder, T. Fäcke, D. Hönel, D. Jurbergs, and T. Rölle, “Self-processing, diffusion-based photopolymers for holographic applications,” Macromol. Symp.296(1), 133–137 (2010).
[CrossRef]

Burr, G. W.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Campos, J.

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays,” Opt. Eng.40(11), 2558–2564 (2001).
[CrossRef]

Carr, A. J.

F. T. O’Neill, A. J. Carr, S. M. Daniels, M. R. Gleeson, J. V. Kelly, J. R. Lawrence, and J. T. Sheridan, “Refractive elements produced in photopolymer layers,” J. Mater. Sci.40(15), 4129–4132 (2005).
[CrossRef]

Chikama, K.

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
[CrossRef]

Close, C. E.

Coufal, H.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Daniels, S. M.

F. T. O’Neill, A. J. Carr, S. M. Daniels, M. R. Gleeson, J. V. Kelly, J. R. Lawrence, and J. T. Sheridan, “Refractive elements produced in photopolymer layers,” J. Mater. Sci.40(15), 4129–4132 (2005).
[CrossRef]

Davis, J. A.

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays,” Opt. Eng.40(11), 2558–2564 (2001).
[CrossRef]

Fäcke, T.

M. S. Weiser, F. K. Bruder, T. Fäcke, D. Hönel, D. Jurbergs, and T. Rölle, “Self-processing, diffusion-based photopolymers for holographic applications,” Macromol. Symp.296(1), 133–137 (2010).
[CrossRef]

Fernandez, E.

Fernández, E.

Francés, J.

S. Gallego, A. Márquez, M. Ortuño, J. Francés, S. Marini, A. Beléndez, and I. Pascual, “Surface relief model for photopolymers without cover plating,” Opt. Express19(11), 10896–10906 (2011).
[CrossRef] [PubMed]

S. Gallego, A. Márquez, M. Ortuño, S. Marini, and J. Francés, “High environmental compatibility photopolymers compared to PVA/AA based materials at zero spatial frequency limit,” Opt. Mater.33(3), 531–537 (2011).
[CrossRef]

Fuentes, R.

Furushima, K.

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
[CrossRef]

Gallego, S.

S. Gallego, A. Márquez, M. Ortuño, J. Francés, S. Marini, A. Beléndez, and I. Pascual, “Surface relief model for photopolymers without cover plating,” Opt. Express19(11), 10896–10906 (2011).
[CrossRef] [PubMed]

S. Gallego, A. Márquez, M. Ortuño, S. Marini, and J. Francés, “High environmental compatibility photopolymers compared to PVA/AA based materials at zero spatial frequency limit,” Opt. Mater.33(3), 531–537 (2011).
[CrossRef]

A. Márquez, S. Gallego, M. Ortuño, E. Fernández, M. L. Álvarez, A. Beléndez, and I. Pascual, “Generation of diffractive optical elements onto a photopolymer using a liquid crystal display,” Proc. SPIE7717, 77170D, 77170D–12 (2010).
[CrossRef]

E. Fernandez, A. Marquez, S. Gallego, R. Fuentes, C. García, and I. Pascual, “Hybrid Ternary Modulation Applied to Multiplexing Holograms in Photopolymers for Data Page Storage,” J. Lightwave Technol.28, 776–783 (2010).

S. Gallego, A. Márquez, S. Marini, E. Fernández, M. Ortuño, and I. Pascual, “In dark analysis of PVA/AA materials at very low spatial frequencies: phase modulation evolution and diffusion estimation,” Opt. Express17(20), 18279–18291 (2009).
[CrossRef] [PubMed]

S. Gallego, A. Márquez, D. Méndez, S. Marini, A. Beléndez, and I. Pascual, “Spatial-phase-modulation-based study of polyvinyl-alcohol/acrylamide photopolymers in the low spatial frequency range,” Appl. Opt.48(22), 4403–4413 (2009).
[CrossRef] [PubMed]

M. Ortuño, E. Fernández, S. Gallego, A. Beléndez, and I. Pascual, “New photopolymer holographic recording material with sustainable design,” Opt. Express15(19), 12425–12435 (2007).
[CrossRef] [PubMed]

J. V. Kelly, M. R. Gleeson, C. E. Close, F. T. O’Neill, J. T. Sheridan, S. Gallego, and C. Neipp, “Temporal analysis of grating formation in photopolymer using the nonlocal polymerization-driven diffusion model,” Opt. Express13(18), 6990–7004 (2005).
[CrossRef] [PubMed]

S. Gallego, C. Neipp, M. Ortuño, A. Márquez, A. Beléndez, and I. Pascual, “Diffusion-based model to predict the conservation of gratings recorded in poly(vinyl alcohol)-acrylamide photopolymer,” Appl. Opt.42(29), 5839–5845 (2003).
[CrossRef] [PubMed]

García, C.

Gleeson, M. R.

Grabowski, M. W.

Guenther, H.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Heine, C.

Hidaka, M.

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
[CrossRef]

Hoffnagle, J. A.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Hönel, D.

M. S. Weiser, F. K. Bruder, T. Fäcke, D. Hönel, D. Jurbergs, and T. Rölle, “Self-processing, diffusion-based photopolymers for holographic applications,” Macromol. Symp.296(1), 133–137 (2010).
[CrossRef]

Iemmi, C.

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays,” Opt. Eng.40(11), 2558–2564 (2001).
[CrossRef]

Ishizu, K.

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
[CrossRef]

Jefferson, C. M.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Jurbergs, D.

M. S. Weiser, F. K. Bruder, T. Fäcke, D. Hönel, D. Jurbergs, and T. Rölle, “Self-processing, diffusion-based photopolymers for holographic applications,” Macromol. Symp.296(1), 133–137 (2010).
[CrossRef]

Kasala, K.

J. Zhang, K. Kasala, A. Rewari, and K. Saravanamuttu, “Self-trapping of spatially and temporally incoherent white light in a photochemical medium,” J. Am. Chem. Soc.128(2), 406–407 (2006).
[CrossRef] [PubMed]

Kelly, J. V.

F. T. O’Neill, A. J. Carr, S. M. Daniels, M. R. Gleeson, J. V. Kelly, J. R. Lawrence, and J. T. Sheridan, “Refractive elements produced in photopolymer layers,” J. Mater. Sci.40(15), 4129–4132 (2005).
[CrossRef]

J. V. Kelly, M. R. Gleeson, C. E. Close, F. T. O’Neill, J. T. Sheridan, S. Gallego, and C. Neipp, “Temporal analysis of grating formation in photopolymer using the nonlocal polymerization-driven diffusion model,” Opt. Express13(18), 6990–7004 (2005).
[CrossRef] [PubMed]

Lawrence, J. R.

F. T. O’Neill, A. J. Carr, S. M. Daniels, M. R. Gleeson, J. V. Kelly, J. R. Lawrence, and J. T. Sheridan, “Refractive elements produced in photopolymer layers,” J. Mater. Sci.40(15), 4129–4132 (2005).
[CrossRef]

F. T. O’Neill, J. R. Lawrence, and J. T. Sheridan, “Comparison of holographic photopolymer materials by use of analytic nonlocal diffusion models,” Appl. Opt.41(5), 845–852 (2002).
[CrossRef] [PubMed]

MacFarlane, R. M.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Maker, P.

Marcus, B.

J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffnagle, C. M. Jefferson, B. Marcus, R. M. MacFarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic Data Storage Technology,” IBM J. Res. Develop.44(3), 341–368 (2000).
[CrossRef]

Marini, S.

Marquez, A.

Márquez, A.

S. Gallego, A. Márquez, M. Ortuño, J. Francés, S. Marini, A. Beléndez, and I. Pascual, “Surface relief model for photopolymers without cover plating,” Opt. Express19(11), 10896–10906 (2011).
[CrossRef] [PubMed]

S. Gallego, A. Márquez, M. Ortuño, S. Marini, and J. Francés, “High environmental compatibility photopolymers compared to PVA/AA based materials at zero spatial frequency limit,” Opt. Mater.33(3), 531–537 (2011).
[CrossRef]

A. Márquez, S. Gallego, M. Ortuño, E. Fernández, M. L. Álvarez, A. Beléndez, and I. Pascual, “Generation of diffractive optical elements onto a photopolymer using a liquid crystal display,” Proc. SPIE7717, 77170D, 77170D–12 (2010).
[CrossRef]

S. Gallego, A. Márquez, S. Marini, E. Fernández, M. Ortuño, and I. Pascual, “In dark analysis of PVA/AA materials at very low spatial frequencies: phase modulation evolution and diffusion estimation,” Opt. Express17(20), 18279–18291 (2009).
[CrossRef] [PubMed]

S. Gallego, A. Márquez, D. Méndez, S. Marini, A. Beléndez, and I. Pascual, “Spatial-phase-modulation-based study of polyvinyl-alcohol/acrylamide photopolymers in the low spatial frequency range,” Appl. Opt.48(22), 4403–4413 (2009).
[CrossRef] [PubMed]

S. Gallego, C. Neipp, M. Ortuño, A. Márquez, A. Beléndez, and I. Pascual, “Diffusion-based model to predict the conservation of gratings recorded in poly(vinyl alcohol)-acrylamide photopolymer,” Appl. Opt.42(29), 5839–5845 (2003).
[CrossRef] [PubMed]

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays,” Opt. Eng.40(11), 2558–2564 (2001).
[CrossRef]

McLeod, R. R.

Mendel, F.

F. Mendel, “Chemistry, biochemistry, and safety of acrylamide. A review,” J. Agric. Food Chem.51, 4504–4526 (2003).

Méndez, D.

Moreno, I.

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays,” Opt. Eng.40(11), 2558–2564 (2001).
[CrossRef]

Morf, R. H.

Muller, R.

Neipp, C.

Nordinand, G. P.

O’Neill, F. T.

Ochi, K.

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
[CrossRef]

Ortuño, M.

Ozawa, M.

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
[CrossRef]

Pascual, I.

S. Gallego, A. Márquez, M. Ortuño, J. Francés, S. Marini, A. Beléndez, and I. Pascual, “Surface relief model for photopolymers without cover plating,” Opt. Express19(11), 10896–10906 (2011).
[CrossRef] [PubMed]

A. Márquez, S. Gallego, M. Ortuño, E. Fernández, M. L. Álvarez, A. Beléndez, and I. Pascual, “Generation of diffractive optical elements onto a photopolymer using a liquid crystal display,” Proc. SPIE7717, 77170D, 77170D–12 (2010).
[CrossRef]

E. Fernandez, A. Marquez, S. Gallego, R. Fuentes, C. García, and I. Pascual, “Hybrid Ternary Modulation Applied to Multiplexing Holograms in Photopolymers for Data Page Storage,” J. Lightwave Technol.28, 776–783 (2010).

S. Gallego, A. Márquez, S. Marini, E. Fernández, M. Ortuño, and I. Pascual, “In dark analysis of PVA/AA materials at very low spatial frequencies: phase modulation evolution and diffusion estimation,” Opt. Express17(20), 18279–18291 (2009).
[CrossRef] [PubMed]

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M. Ortuño, E. Fernández, S. Gallego, A. Beléndez, and I. Pascual, “New photopolymer holographic recording material with sustainable design,” Opt. Express15(19), 12425–12435 (2007).
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S. Gallego, C. Neipp, M. Ortuño, A. Márquez, A. Beléndez, and I. Pascual, “Diffusion-based model to predict the conservation of gratings recorded in poly(vinyl alcohol)-acrylamide photopolymer,” Appl. Opt.42(29), 5839–5845 (2003).
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J. Zhang, K. Kasala, A. Rewari, and K. Saravanamuttu, “Self-trapping of spatially and temporally incoherent white light in a photochemical medium,” J. Am. Chem. Soc.128(2), 406–407 (2006).
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Rölle, T.

M. S. Weiser, F. K. Bruder, T. Fäcke, D. Hönel, D. Jurbergs, and T. Rölle, “Self-processing, diffusion-based photopolymers for holographic applications,” Macromol. Symp.296(1), 133–137 (2010).
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L. M. C. Sagis, “Generalized curvature expansion for the surface internal energy,” Physica A246(3–4), 591–608 (1997).
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Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
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Tomita, Y.

Y. Tomita, K. Furushima, K. Ochi, K. Ishizu, A. Tanaka, M. Ozawa, M. Hidaka, and K. Chikama, “Organic nanoparticle (hyperbranched polymer)-dispersed photopolymers for volume holographic storage,” Appl. Phys. Lett.88(7), 071103 (2006).
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Wang, X.

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[CrossRef]

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A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays,” Opt. Eng.40(11), 2558–2564 (2001).
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[CrossRef]

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Figures (12)

Fig. 1
Fig. 1

Experimental set-up used to analyze the recording of gratings in real time.

Fig. 2
Fig. 2

Simulated and experimental diffraction efficiencies for order 0, 1, 2, 3 as a function of time for PVA/AA composition. Spatial period of 168 μm.

Fig. 3
Fig. 3

Simulated and experimental diffraction efficiencies for order 0, 1, 2, 3 as a function of time for PVA/NaAO composition. Spatial period of 168 μm.

Fig. 4
Fig. 4

Simulated and experimental diffraction efficiencies for order 0, 1, 2, 3 as a function of time for PVA/NaAO composition for different recording intensities a) 0.5 mW/cm2, b) 2 mW/cm2 and c) 4 mW/cm2. Spatial period of 664 μm.

Fig. 5
Fig. 5

Simulated and experimental diffraction efficiencies for order 0, 1, 2, 3 as a function of time for a) PVA/AA and b) PVA/NaAO compositions and spatial frequency of 5 lines/mm for binary grating.

Fig. 6
Fig. 6

Simulated diffraction efficiencies for orders −1, 0, 1, 2, 3 as a function of time for PVA/AA and for spatial period of 168 µm.

Fig. 7
Fig. 7

Surface profile after 100 s of recording, simulated for PVA/NaAO material.

Fig. 8
Fig. 8

- Polymer profile after 100 s of recording using binary illumination for a) PVA/AA material and b) PVA/NaAO material.

Fig. 9
Fig. 9

Polymer profile after 100 s of recording using blazed illumination profile and PVA/AA material.

Fig. 10
Fig. 10

Polymer profile after 100 s of recording using “quadratic” illumination and PVA/AA material.

Fig. 11
Fig. 11

Simulated diffraction efficiencies for orders 0, 1, 2, 3 as a function of time for PVA/AA and compositions and spatial period of 168 µm.

Fig. 12
Fig. 12

Monomer profile after 100 s of recording using “quadratic” illumination and PVA/AA material.

Tables (1)

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Table 1 Chemical Composition of the Water Solutions

Equations (9)

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I(x)= I 0 x 2 168 2
[ M ](x,z,t) t = x D [ M ](x,z,t) x + z D [ M ](x,z,t) z F R (x,z,t)[ M ](x,z,t)
[ P ](x,z,t) t = F R (x,z,t)[ M ](x,z,t)
F R = k R I γ (x,z,t)= k R ( I 0 [ 1+Vcos( K g x) ] e α(t)z ) γ
M i,j,k = Δt Δ x 2 D m M i+1,j,k1 2 Δt Δ x 2 D m M i,j,k1 + Δt Δ x 2 D m M i1,j,k1 + Δt Δ z 2 D m M i,j+1,k1 2 Δt Δ z 2 D m M i,j,k1 + Δt Δ z 2 D m M i,j1,k1 Δt F R i,j,k1 M i,j,k1 + M i,j,k1
P i,j,k =Δt F R i,j,k1 M i,j,k1 + P i,j,k1
Δt 1 2 ( Δx ) 2 D m
d= d b + d m + d p
d= d 0 ( 1 M 0 M )+ d 0 P( 1 Sh 100 M 0 )

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