Non-local spatial frequency response of photopolymer materials containing chain transfer agents: I. Theoretical modelling

The non-local photopolymerization driven diffusion (NPDD) model predicts that a reduction in the non-local response length within a photopolymer material will improve its high spatial frequency response. The introduction of a chain transfer agent reduces the average molecular weight of polymer chains formed during free radical polymerization. Therefore a chain transfer agent (CTA) provides a practical method to reduce the non-local response length. An extended NPDD model is presented, which includes the chain transfer reaction and most major photochemical processes. The addition of a chain transfer agent into an acrylamide/polyvinyl alcohol photopolymer material is simulated and the predictions of the model are examined. The predictions of the model are experimentally examined in part II of this paper.

[1]  Raymond K. Kostuk,et al.  Holographic edge-illuminated polymer Bragg gratings for dense wavelength division optical filters at 1550 nm , 2003, IS&T/SPIE Electronic Imaging.

[2]  Inmaculada Pascual,et al.  First-harmonic diffusion-based model applied to a polyvinyl-alcohol- acrylamide-based photopolymer , 2003 .

[3]  Yusuf Yagci,et al.  2-mercapto thioxanthone as a chain transfer agent in free-radical polymerization: A versatile route to incorporate thioxanthone moieties into polymer chain-ends , 2007 .

[4]  J. Sheridan,et al.  Adjusted intensity nonlocal diffusion model of photopolymer grating formation , 2017 .

[5]  R. Hiorns Polymer Handbook, 4th edn, Edited by J Brandup, EH Immergut and EA Grulke, Associate Editors A Abe and DR Bloch, John Wiley and Sons, New York, 1999, pp 2250, price £210 ISBN 0‐471‐16628‐6 , 2000 .

[6]  Jin Hyuk Kwon,et al.  Analysis of temporal behavior of beams diffracted by volume gratings formed in photopolymers , 1999 .

[7]  Thomas Fäcke,et al.  Materials in optical data storage , 2010 .

[8]  Kenji Kikuchi,et al.  Polymerization of acrylamide in aqueous medium initiated with a redox system composed of cysteine and potassium bromate , 1997 .

[9]  Maria Victoria Encinas,et al.  Thiophenols as chain transfer agents in the polymerization of vinyl monomers , 2005 .

[10]  Antonio Fimia,et al.  Theoretical model of holographic grating formation in photopolymerizable dry films in slanted geometry , 2000 .

[11]  Robert R McLeod,et al.  GRIN lens and lens array fabrication with diffusion-driven photopolymer. , 2008, Optics letters.

[12]  Michael R. Gleeson,et al.  Non-local spatial frequency response of photopolymer materials containing chain transfer agents: II. Experimental results , 2011 .

[13]  G. Odian,et al.  Principles of polymerization , 1981 .

[14]  Masao Doi,et al.  Introduction to Polymer Physics , 1996 .

[15]  Christopher N. Bowman,et al.  Modeling the Effect of Oxygen on Photopolymerization Kinetics , 2006 .

[16]  P Jost,et al.  Polymers for holographic recording: VI. Some basic ideas for modelling the kinetics of the recording process , 1997 .

[17]  Richard Kowarschik,et al.  Numerical investigation of the (1+1)D self-trapping of laser beams in polymeric films based on polymethylmethacrylate and phenanthrenequinone , 2009 .

[18]  Sheridan,et al.  Nonlocal-response diffusion model of holographic recording in photopolymer , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  Michael R. Gleeson,et al.  High Intensity Response of Photopolymer Materials for Holographic Grating Formation , 2010 .

[20]  Dusan Sabol,et al.  Improvement of the spatial frequency response of photopolymer materials by modifying polymer chain length , 2008 .

[21]  John T. Sheridan,et al.  Refractive elements produced in photopolymer layers , 2004, SPIE Optics + Photonics.

[22]  H. Kogelnik Coupled wave theory for thick hologram gratings , 1969 .

[23]  F. Mayo,et al.  Chain Transfer in the Polymerization of Styrene: The Reaction of Solvents with Free Radicals1 , 1943 .

[24]  Michael R. Gleeson,et al.  Optical characterization of photopolymers materials: theoretical and experimental examination of primary radical generation , 2010 .

[25]  J. Sheridan,et al.  Comparison of holographic photopolymer materials by use of analytic nonlocal diffusion models. , 2002, Applied Optics.

[26]  John T. Sheridan,et al.  Refractive elements produced in photopolymer layers , 2005 .

[27]  Pantazis Mouroulis,et al.  Diffusion Model of Hologram Formation in Dry Photopolymer Materials , 1994 .

[28]  J. Sheridan,et al.  Photopolymer holographic recording material parameter estimation using a nonlocal diffusion based model , 2001 .

[29]  S. Gallego,et al.  Temporal analysis of grating formation in photopolymer using the nonlocal polymerization-driven diffusion model. , 2005, Optics express.

[30]  Michael J. Fevola,et al.  Molecular weight control of polyacrylamide with sodium formate as a chain‐transfer agent: Characterization via size exclusion chromatography/multi‐angle laser light scattering and determination of chain‐transfer constant , 2003 .

[31]  Michael R. Gleeson,et al.  Non-local photo-polymerization kinetics including multiple termination mechanisms and dark reactions: Part III. Primary radical generation and inhibition , 2010 .

[32]  Michael R. Gleeson,et al.  Study of photosensitizer diffusion in a photopolymer material for holographic applications , 2011 .

[33]  I. Aubrecht,et al.  Recording of holographic diffraction gratings in photopolymers : theoretical modelling and real-time monitoring of grating growth , 1998 .

[34]  Hongyue Gao,et al.  Dynamic characterizations of high diffraction efficiency in volume Bragg grating formed by holographic photopolymerization , 2009 .

[35]  Michael R. Gleeson,et al.  Nonlocal photopolymerization kinetics including multiple termination mechanisms and dark reactions. Part I. Modeling , 2009 .

[36]  Michael R. Gleeson,et al.  Nonlocal photopolymerization kinetics including multiple termination mechanisms and dark reactions. Part II. Experimental validation , 2009 .

[37]  A. Fimia,et al.  Elimination of Oxygen Inhibition in Photopolymer Systems Used as Holographic Recording Materials , 1993 .

[38]  S. Gallego,et al.  Holographic photopolymer materials : nonlocal polymerization-driven diffusion under nonideal kinetic conditions , 2005 .

[39]  John T. Sheridan,et al.  Effects of absorption and inhibition during grating formation in photopolymer materials , 2006 .