Abstract

Ultrafast holographic recording in bulk phenanthrenequinone dispersed poly (methyl methacrylate) photopolymers is experimentally examined under nanosecond pulsed exposure. A modified interference optical system is set to investigate the dark enhancement effect and real-time diffraction grating strength. Single transmission diffraction grating is recorded in a 6 nanosecond pulse exposure. Grating enhancement formation with different pulse quantity, repetition rate and spatial frequency are also measured. Diffraction efficiency is enhanced by increasing the pulse number as well as the single-pulse energy. The grating strength of 0.58 within 1.8 μs cumulative exposure time is obtained. Moreover, holographic reciprocity failure occurring in the ultrafast holographic storage is analyzed. This paper presents a practical support for PQ/PMMA photopolymers in applications of transient information holographic storage.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
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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]
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    [Crossref]
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    [Crossref]

2017 (3)

2016 (4)

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

X. Sun, F. Chang, and K. Gai, “Optoelectronic fast response properties of PQ/PMMA polymer,” Materials Today: Proceedings 3(2), 632–634 (2016).
[Crossref]

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

T. Hoshizawa, K. Shimada, K. Fujita, and Y. Tada, “Practical angular-multiplexing holographic data storage system with 2 terabyte capacity and 1 gigabit transfer rate,” Jpn. J. Appl. Phys. 55(9S), 09SA06 (2016).
[Crossref]

2015 (2)

Y. Qi, H. Li, E. Tolstik, J. Guo, M. R. Gleeson, and J. T. Sheridan, “PQ/PMMA photopolymer: Modelling post-exposure,” Opt. Commun. 338, 406–415 (2015).
[Crossref]

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

2014 (4)

H. Ruan, “Recent advances in holographic data storage,” Front. Optoelectron. 7(4), 450–466 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part I: Short exposure,” Opt. Commun. 330, 191–198 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part II: Consecutive exposure and dark decay,” Opt. Commun. 330, 199–207 (2014).
[Crossref]

S. H. Lin, S. L. Cho, S. F. Chou, J. H. Lin, C. M. Lin, S. Chi, and K. Y. Hsu, “Volume polarization holographic recording in thick photopolymer for optical memory,” Opt. Express 22(12), 14944–14957 (2014).
[Crossref] [PubMed]

2013 (1)

2012 (1)

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

2011 (2)

D. Yu, H. Liu, J. Wang, Y. Jiang, and X. Sun, “Study on holographic characteristics in ZnMA doped PQ-PMMA photopolymer,” Opt. Commun. 284(12), 2784–2788 (2011).
[Crossref]

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

2010 (1)

D. Yu, H. Liu, Y. Jiang, and X. Sun, “Holographic storage stability in PQ-PMMA bulk photopolymer,” Opt. Commun. 283(21), 4219–4223 (2010).
[Crossref]

2009 (1)

H. Liu, D. Yu, Y. Jiang, and X. Sun, “Characteristics of holographic scattering and its application in determining kinetic parameters in PQ-PMMA photopolymer,” Appl. Phys. B 95(3), 513–518 (2009).
[Crossref]

2008 (1)

2007 (1)

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

2006 (1)

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

2005 (1)

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

2004 (1)

Y. N. Hsiao, W. T. Whang, and S. H. Lin, “Analyses on physical mechanism of holographic recording in phenanthrenequinone-doped poly (methyl methacrylate) hybrid materials,” Opt. Eng. 43(9), 1993–2002 (2004).
[Crossref]

2000 (1)

1999 (2)

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

1994 (1)

G. Zhao and P. Mouroulis, “Diffusion Model of Hologram Formation in Dry Photopolymer Materials,” J. Mod. Opt. 41(10), 1929–1939 (1994).
[Crossref]

1969 (1)

H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Labs Tech. J. 48(9), 2909–2947 (1969).
[Crossref]

Alshehri, A. M.

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

Andreeva, N. V.

Andreeva, O. V.

Andrzejewski, L.

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

Arias, E.

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Barbosa-García, O.

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Beléndez, A.

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

Bhardwaj, R.

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

Blanche, P. A.

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

Chang, F.

X. Sun, F. Chang, and K. Gai, “Optoelectronic fast response properties of PQ/PMMA polymer,” Materials Today: Proceedings 3(2), 632–634 (2016).
[Crossref]

Chen, W. Z.

Chi, S.

Chivilikhin, S. A.

Cho, S. L.

Chou, S. F.

Churin, D.

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

Eralp, M.

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Fan, F.

Feldmann, J.

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Ferrio, K. B.

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

Fujita, K.

T. Hoshizawa, K. Shimada, K. Fujita, and Y. Tada, “Practical angular-multiplexing holographic data storage system with 2 terabyte capacity and 1 gigabit transfer rate,” Jpn. J. Appl. Phys. 55(9S), 09SA06 (2016).
[Crossref]

Gai, K.

X. Sun, F. Chang, and K. Gai, “Optoelectronic fast response properties of PQ/PMMA polymer,” Materials Today: Proceedings 3(2), 632–634 (2016).
[Crossref]

Gallego, S.

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

García, C.

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

Geng, Y.

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part I: Short exposure,” Opt. Commun. 330, 191–198 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part II: Consecutive exposure and dark decay,” Opt. Commun. 330, 199–207 (2014).
[Crossref]

Gleeson, M. R.

Y. Qi, H. Li, E. Tolstik, J. Guo, M. R. Gleeson, and J. T. Sheridan, “PQ/PMMA photopolymer: Modelling post-exposure,” Opt. Commun. 338, 406–415 (2015).
[Crossref]

Y. Qi, E. Tolstik, H. Li, J. Guo, M. R. Gleeson, V. Matusevich, R. Kowarschik, and J. T. Sheridan, “Study of PQ/PMMA photopolymer. Part 2: experimental results,” J. Opt. Soc. Am. B 30(12), 3308–3315 (2013).
[Crossref]

Guenther, B. D.

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

Guo, J.

Y. Qi, H. Li, E. Tolstik, J. Guo, M. R. Gleeson, and J. T. Sheridan, “PQ/PMMA photopolymer: Modelling post-exposure,” Opt. Commun. 338, 406–415 (2015).
[Crossref]

Y. Qi, E. Tolstik, H. Li, J. Guo, M. R. Gleeson, V. Matusevich, R. Kowarschik, and J. T. Sheridan, “Study of PQ/PMMA photopolymer. Part 2: experimental results,” J. Opt. Soc. Am. B 30(12), 3308–3315 (2013).
[Crossref]

Haugeneder, A.

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Hendrickx, E.

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

Herlocker, J. A.

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

Hong, Y.

Hoshizawa, T.

T. Hoshizawa, K. Shimada, K. Fujita, and Y. Tada, “Practical angular-multiplexing holographic data storage system with 2 terabyte capacity and 1 gigabit transfer rate,” Jpn. J. Appl. Phys. 55(9S), 09SA06 (2016).
[Crossref]

Hsiao, Y. N.

Y. N. Hsiao, W. T. Whang, and S. H. Lin, “Analyses on physical mechanism of holographic recording in phenanthrenequinone-doped poly (methyl methacrylate) hybrid materials,” Opt. Eng. 43(9), 1993–2002 (2004).
[Crossref]

Hsu, K. Y.

Jiang, Y.

D. Yu, H. Liu, J. Wang, Y. Jiang, and X. Sun, “Study on holographic characteristics in ZnMA doped PQ-PMMA photopolymer,” Opt. Commun. 284(12), 2784–2788 (2011).
[Crossref]

D. Yu, H. Liu, Y. Jiang, and X. Sun, “Holographic storage stability in PQ-PMMA bulk photopolymer,” Opt. Commun. 283(21), 4219–4223 (2010).
[Crossref]

H. Liu, D. Yu, Y. Jiang, and X. Sun, “Characteristics of holographic scattering and its application in determining kinetic parameters in PQ-PMMA photopolymer,” Appl. Phys. B 95(3), 513–518 (2009).
[Crossref]

Jiang, Y.-Y.

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

Kallepalli, D. L. N.

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

Kallinger, C.

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Kang, G.

Kashin, O.

Kieu, K.

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

Kippelen, B.

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

Kogelnik, H.

H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Labs Tech. J. 48(9), 2909–2947 (1969).
[Crossref]

Kowarschik, R.

Krul, L. P.

Lemmer, U.

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Li, G.

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Li, H.

Y. Qi, H. Li, E. Tolstik, J. Guo, M. R. Gleeson, and J. T. Sheridan, “PQ/PMMA photopolymer: Modelling post-exposure,” Opt. Commun. 338, 406–415 (2015).
[Crossref]

Y. Qi, E. Tolstik, H. Li, J. Guo, M. R. Gleeson, V. Matusevich, R. Kowarschik, and J. T. Sheridan, “Study of PQ/PMMA photopolymer. Part 2: experimental results,” J. Opt. Soc. Am. B 30(12), 3308–3315 (2013).
[Crossref]

Li, J.

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

Li, Z.

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

Lin, C. M.

Lin, J. H.

Lin, S. H.

Liu, H.

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part II: Consecutive exposure and dark decay,” Opt. Commun. 330, 199–207 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part I: Short exposure,” Opt. Commun. 330, 191–198 (2014).
[Crossref]

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

D. Yu, H. Liu, J. Wang, Y. Jiang, and X. Sun, “Study on holographic characteristics in ZnMA doped PQ-PMMA photopolymer,” Opt. Commun. 284(12), 2784–2788 (2011).
[Crossref]

D. Yu, H. Liu, Y. Jiang, and X. Sun, “Holographic storage stability in PQ-PMMA bulk photopolymer,” Opt. Commun. 283(21), 4219–4223 (2010).
[Crossref]

H. Liu, D. Yu, Y. Jiang, and X. Sun, “Characteristics of holographic scattering and its application in determining kinetic parameters in PQ-PMMA photopolymer,” Appl. Phys. B 95(3), 513–518 (2009).
[Crossref]

Liu, Y.

Luo, Y.

Luo, Z.

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

Lynn, B.

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

Maldonado, J. L.

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Manukhin, B. G.

Marquez, D. T.

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

Materikina, D. A.

Matusevich, A.

Matusevich, V.

Matusevich, Y. I.

Meneses-Nava, M. A.

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Mery, S.

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

Moggio, I.

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Mouroulis, P.

G. Zhao and P. Mouroulis, “Diffusion Model of Hologram Formation in Dry Photopolymer Materials,” J. Mod. Opt. 41(10), 1929–1939 (1994).
[Crossref]

Müllen, K.

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Neges, M.

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Neipp, C.

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

Norwood, R. A.

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Olmos-López, M.

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Ortuño, M.

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

Pascual, I.

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

Peyghambarian, N.

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

Qi, Y.

Y. Qi, H. Li, E. Tolstik, J. Guo, M. R. Gleeson, and J. T. Sheridan, “PQ/PMMA photopolymer: Modelling post-exposure,” Opt. Commun. 338, 406–415 (2015).
[Crossref]

Y. Qi, E. Tolstik, H. Li, J. Guo, M. R. Gleeson, V. Matusevich, R. Kowarschik, and J. T. Sheridan, “Study of PQ/PMMA photopolymer. Part 2: experimental results,” J. Opt. Soc. Am. B 30(12), 3308–3315 (2013).
[Crossref]

Ramos-Ortiz, G.

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Ruan, H.

H. Ruan, “Recent advances in holographic data storage,” Front. Optoelectron. 7(4), 450–466 (2014).
[Crossref]

Scaiano, J. C.

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

Schelkanova, I. J.

Schülzgen, A.

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Sheridan, J. T.

Y. Qi, H. Li, E. Tolstik, J. Guo, M. R. Gleeson, and J. T. Sheridan, “PQ/PMMA photopolymer: Modelling post-exposure,” Opt. Commun. 338, 406–415 (2015).
[Crossref]

Y. Qi, E. Tolstik, H. Li, J. Guo, M. R. Gleeson, V. Matusevich, R. Kowarschik, and J. T. Sheridan, “Study of PQ/PMMA photopolymer. Part 2: experimental results,” J. Opt. Soc. Am. B 30(12), 3308–3315 (2013).
[Crossref]

Shimada, K.

T. Hoshizawa, K. Shimada, K. Fujita, and Y. Tada, “Practical angular-multiplexing holographic data storage system with 2 terabyte capacity and 1 gigabit transfer rate,” Jpn. J. Appl. Phys. 55(9S), 09SA06 (2016).
[Crossref]

Spirkl, W.

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Sun, X.

X. Sun, F. Chang, and K. Gai, “Optoelectronic fast response properties of PQ/PMMA polymer,” Materials Today: Proceedings 3(2), 632–634 (2016).
[Crossref]

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

D. Yu, H. Liu, J. Wang, Y. Jiang, and X. Sun, “Study on holographic characteristics in ZnMA doped PQ-PMMA photopolymer,” Opt. Commun. 284(12), 2784–2788 (2011).
[Crossref]

D. Yu, H. Liu, Y. Jiang, and X. Sun, “Holographic storage stability in PQ-PMMA bulk photopolymer,” Opt. Commun. 283(21), 4219–4223 (2010).
[Crossref]

H. Liu, D. Yu, Y. Jiang, and X. Sun, “Characteristics of holographic scattering and its application in determining kinetic parameters in PQ-PMMA photopolymer,” Appl. Phys. B 95(3), 513–518 (2009).
[Crossref]

Sun, X.-D.

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

Tada, Y.

T. Hoshizawa, K. Shimada, K. Fujita, and Y. Tada, “Practical angular-multiplexing holographic data storage system with 2 terabyte capacity and 1 gigabit transfer rate,” Jpn. J. Appl. Phys. 55(9S), 09SA06 (2016).
[Crossref]

Tan, X.

Tay, S.

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Thomas, J.

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Tolstik, E.

Vyas, S.

Wang, H.

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

Wang, J.

D. Yu, H. Liu, J. Wang, Y. Jiang, and X. Sun, “Study on holographic characteristics in ZnMA doped PQ-PMMA photopolymer,” Opt. Commun. 284(12), 2784–2788 (2011).
[Crossref]

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

Wang, P. H.

Wang, W.

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part I: Short exposure,” Opt. Commun. 330, 191–198 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part II: Consecutive exposure and dark decay,” Opt. Commun. 330, 199–207 (2014).
[Crossref]

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

Whang, W. T.

Y. N. Hsiao, W. T. Whang, and S. H. Lin, “Analyses on physical mechanism of holographic recording in phenanthrenequinone-doped poly (methyl methacrylate) hybrid materials,” Opt. Eng. 43(9), 1993–2002 (2004).
[Crossref]

S. H. Lin, K. Y. Hsu, W. Z. Chen, and W. T. Whang, “Phenanthrenequinone-doped poly(methyl methacrylate) photopolymer bulk for volume holographic data storage,” Opt. Lett. 25(7), 451–453 (2000).
[Crossref] [PubMed]

Yamamoto, M.

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Yang, L.

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

Ye, Y.

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

Yu, D.

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part II: Consecutive exposure and dark decay,” Opt. Commun. 330, 199–207 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part I: Short exposure,” Opt. Commun. 330, 191–198 (2014).
[Crossref]

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

D. Yu, H. Liu, J. Wang, Y. Jiang, and X. Sun, “Study on holographic characteristics in ZnMA doped PQ-PMMA photopolymer,” Opt. Commun. 284(12), 2784–2788 (2011).
[Crossref]

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

D. Yu, H. Liu, Y. Jiang, and X. Sun, “Holographic storage stability in PQ-PMMA bulk photopolymer,” Opt. Commun. 283(21), 4219–4223 (2010).
[Crossref]

H. Liu, D. Yu, Y. Jiang, and X. Sun, “Characteristics of holographic scattering and its application in determining kinetic parameters in PQ-PMMA photopolymer,” Appl. Phys. B 95(3), 513–518 (2009).
[Crossref]

Zang, J.

Zhang, L.

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

Zhao, G.

G. Zhao and P. Mouroulis, “Diffusion Model of Hologram Formation in Dry Photopolymer Materials,” J. Mod. Opt. 41(10), 1929–1939 (1994).
[Crossref]

Zhao, Y.

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part I: Short exposure,” Opt. Commun. 330, 191–198 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part II: Consecutive exposure and dark decay,” Opt. Commun. 330, 199–207 (2014).
[Crossref]

Zhong, J.

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

Zhu, J.

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

Appl. Opt. (1)

Appl. Phys. B (1)

H. Liu, D. Yu, Y. Jiang, and X. Sun, “Characteristics of holographic scattering and its application in determining kinetic parameters in PQ-PMMA photopolymer,” Appl. Phys. B 95(3), 513–518 (2009).
[Crossref]

Appl. Phys. Lett. (2)

J. A. Herlocker, K. B. Ferrio, E. Hendrickx, B. D. Guenther, S. Mery, B. Kippelen, and N. Peyghambarian, “Direct observation of orientation limit in a fast photorefractive polymer composite,” Appl. Phys. Lett. 74(16), 2253–2255 (1999).
[Crossref]

M. Eralp, J. Thomas, S. Tay, G. Li, A. Schülzgen, R. A. Norwood, M. Yamamoto, and N. Peyghambarian, “Submillisecond response of a photorefractive polymer under single nanosecond pulse exposure,” Appl. Phys. Lett. 89(11), 114105 (2006).
[Crossref]

Bell Labs Tech. J. (1)

H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Labs Tech. J. 48(9), 2909–2947 (1969).
[Crossref]

Chin. Phys. B (1)

D. Yu, H. Wang, H. Liu, J. Wang, Y.-Y. Jiang, and X.-D. Sun, “Dark diffusional enhancement of holographic multiplexed gratings in phenanthrenequinone doped poly (methyl methacrylate) photopolymer,” Chin. Phys. B 20(11), 4217 (2011).
[Crossref]

Front. Optoelectron. (1)

H. Ruan, “Recent advances in holographic data storage,” Front. Optoelectron. 7(4), 450–466 (2014).
[Crossref]

J. Mod. Opt. (2)

S. Gallego, M. Ortuño, C. García, C. Neipp, A. Beléndez, and I. Pascual, “High-efficiency volume holograms recording on acrylamide and N, N’methylene-bis-acrylamide photopolymer with pulsed laser,” J. Mod. Opt. 52(11), 1575–1584 (2005).
[Crossref]

G. Zhao and P. Mouroulis, “Diffusion Model of Hologram Formation in Dry Photopolymer Materials,” J. Mod. Opt. 41(10), 1929–1939 (1994).
[Crossref]

J. Opt. Soc. Am. B (1)

Jpn. J. Appl. Phys. (1)

T. Hoshizawa, K. Shimada, K. Fujita, and Y. Tada, “Practical angular-multiplexing holographic data storage system with 2 terabyte capacity and 1 gigabit transfer rate,” Jpn. J. Appl. Phys. 55(9S), 09SA06 (2016).
[Crossref]

Mater. Lett. (1)

Y. Zhao, J. Zhong, Y. Ye, Z. Luo, J. Li, Z. Li, and J. Zhu, “Sensitive polyvinyl alcohol/acrylamide based photopolymer for single pulse holographic recording,” Mater. Lett. 138, 284–286 (2015).
[Crossref]

Materials Today: Proceedings (1)

X. Sun, F. Chang, and K. Gai, “Optoelectronic fast response properties of PQ/PMMA polymer,” Materials Today: Proceedings 3(2), 632–634 (2016).
[Crossref]

Opt. Commun. (6)

Y. Qi, H. Li, E. Tolstik, J. Guo, M. R. Gleeson, and J. T. Sheridan, “PQ/PMMA photopolymer: Modelling post-exposure,” Opt. Commun. 338, 406–415 (2015).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part I: Short exposure,” Opt. Commun. 330, 191–198 (2014).
[Crossref]

D. Yu, H. Liu, Y. Geng, W. Wang, and Y. Zhao, “Radical polymerization in holographic grating formation in PQ-PMMA photopolymer part II: Consecutive exposure and dark decay,” Opt. Commun. 330, 199–207 (2014).
[Crossref]

D. Yu, H. Liu, Y. Jiang, and X. Sun, “Holographic storage stability in PQ-PMMA bulk photopolymer,” Opt. Commun. 283(21), 4219–4223 (2010).
[Crossref]

D. Yu, H. Liu, J. Wang, Y. Jiang, and X. Sun, “Study on holographic characteristics in ZnMA doped PQ-PMMA photopolymer,” Opt. Commun. 284(12), 2784–2788 (2011).
[Crossref]

H. Liu, D. Yu, L. Yang, W. Wang, L. Zhang, H. Wang, and X. Sun, “Enhancement of photochemical response in bulk poly (methyl methacrylate) photopolymer dispersed organometallic compound,” Opt. Commun. 285(24), 4993–5000 (2012).
[Crossref]

Opt. Eng. (1)

Y. N. Hsiao, W. T. Whang, and S. H. Lin, “Analyses on physical mechanism of holographic recording in phenanthrenequinone-doped poly (methyl methacrylate) hybrid materials,” Opt. Eng. 43(9), 1993–2002 (2004).
[Crossref]

Opt. Express (4)

Opt. Lett. (1)

Opt. Mater. (1)

J. L. Maldonado, G. Ramos-Ortiz, M. A. Meneses-Nava, O. Barbosa-García, M. Olmos-López, E. Arias, and I. Moggio, “Effect of doping with C60 on photocurrent and hole mobility in polymer composites measured by using the time-of-flight technique,” Opt. Mater. 29(7), 821–826 (2007).
[Crossref]

Phys. Rev. B (1)

A. Haugeneder, M. Neges, C. Kallinger, W. Spirkl, U. Lemmer, J. Feldmann, and K. Müllen, “Exciton diffusion and dissociation in conjugated polymer/fullerene blends and heterostructures,” Phys. Rev. B 59(23), 15346–15351 (1999).
[Crossref]

Sci. Rep. (2)

P. A. Blanche, B. Lynn, D. Churin, K. Kieu, R. A. Norwood, and N. Peyghambarian, “Diffraction response of photorefractive polymers over nine orders of magnitude of pulse duration,” Sci. Rep. 6(6), 29027 (2016).
[Crossref] [PubMed]

D. L. N. Kallepalli, A. M. Alshehri, D. T. Marquez, L. Andrzejewski, J. C. Scaiano, and R. Bhardwaj, “Ultra-high density optical data storage in common transparent plastics,” Sci. Rep. 6(1), 26163 (2016).
[Crossref] [PubMed]

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Figures (8)

Fig. 1
Fig. 1 (a) Absorption spectrum of PQ/PMMA polymers (400-600nm). (b)Holographic grating recording system, BS, beam splitter; PBS, polarizing beam splitter.
Fig. 2
Fig. 2 (a) The DDEP with single pulse exposure in different thickness. (b) saturated diffraction efficiency with different single pulse energy.
Fig. 3
Fig. 3 dark diffusion enhancement of diffraction grating. (a) different pulse quantity. (b) different repetition rate
Fig. 4
Fig. 4 The holographic performance through dark diffusion enhancement. (a) grating strength with different spatial resolution. (b) diffraction efficiency with short-time pulse exposure.
Fig. 5
Fig. 5 Variation curves of grating strength under multi pulse exposures. (a) 3 mm. (b) 2 mm. (c) 1 mm.
Fig. 6
Fig. 6 Mechanism of photo-polymerization process in PQ/PMMA photopolymers.
Fig. 7
Fig. 7 AFM topography of PQ/PMMA photopolymers surface. (a) before exposure. (b) after exposure.
Fig. 8
Fig. 8 Image reconstruction in PQ/PMMA photopolymers under pulsed exposure (static particle filed with hundred μm diameters).

Tables (1)

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Table 1 Experimental and measured results of diffraction efficiencies, refraction index modulation, time constants, static and dynamic sensitivities.

Equations (8)

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M (t)= η ( t ) = I d I d + I t
η ( t ) = η s a t [ 1 e x p ( t / τ ) ]
η = sin 2 ( Δ n π d λ cos θ )
S s = Δ n E
S d = d ( Δ n ) d E
PQ R a P 1 Q * R b P 3 Q *
P 3 Q * + PMMA R i HPQ · + R ·
HPQ · + R · R t PQ P M M A

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