Nonlocal photopolymerization kinetics including multiple termination mechanisms and dark reactions. Part I. Modeling

Journal of the Optical Society of America B: Optical Physics

Volumn 26, Issue 9, 2009, Pages 1736-1745

  Gleeson, Michael R ^a   Sheridan, John T ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

FREE RADICALS; GROWTH KINETICS; PHOTOPOLYMERIZATION;

DIFFUSION CONTROLLED; DRIVEN DIFFUSION; HOLOGRAPHIC GRATING FORMATION; PHOTOCHEMICAL PROCESS; PHOTON ABSORPTIONS; PHOTOPOLYMERIZATION KINETICS; TERMINATION MECHANISMS; VISCOSITY EFFECTS;

KINETICS;

EID: 70249150372     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.26.001736     Document Type: Article

References (46)

1. M. R. Gleeson, S. Liu, R. R. McLeod, and J. T. Sheridan, "Nonlocal photopolymerization kinetics including multiple termination mechanisms and dark reactions. Part II. Experimental validation," J. Opt. Soc. Am. B 26, 1746-1754 (2009).
2. G. Manivannan and R. A. Lessard, "Trends in holographic recording materials," Trends Polym. Sci. 2, 282-290 (1994).
3. J. R. Lawrence, F. T. O'Neill, and J. T. Sheridan, "Photopolymer holographic recording material," Optik 112, 449-463 (2001).
4. M. R. Gleeson and J. T. Sheridan, "A review of the modelling of free-radical photopolymerisation in the formation of holographic gratings," J. Opt. A 10, 024008 (2009).
5. S. Harbour, J. V. Kelly, T. Galstian, and J. T. Sheridan, "Optical birefringence and anisotropic scattering in acrylate based holographic polymer dispersed liquid crystals," Opt. Commun. 278, 28-33 (2007). (Pubitemid 47243635)
6. A. C. Sullivan, M. W. Grabowski, and R. R. McLeod, "Three- dimensional direct-write lithography into photopolymer," Appl. Opt. 46, 295-301 (2007).
7. 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, 406-407 (2006). (Pubitemid 43157522)
8. J. V. Kelly, M. R. Gleeson, C. E. Close, and J. T. Sheridan, "Optimized scheduling for holographic data storage," J. Opt. A 10, 115203 (2008).
9. M. R. Gleeson, "Analysis of the photochemical kinetics in photopolymers for holographic data storage and hybrid photonic circuits," Ph.D. thesis (University College Dublin, 2008).
10. M. R. Gleeson, S. Liu, S. O'Duill, and J. T. Sheridan, "Examination of the photoinitiation processes in photopolymer materials," J. Appl. Phys. 104, 064917 (2008).
11. M. R. Gleeson, J. V. Kelly, D. Sabol, C. E. Close, S. Liu, and J. T. Sheridan, "Modelling the photochemical effects present during holographic grating formation in photopolymer materials," J. Appl. Phys. 102, 023108 (2007).
12. T. Trentler, J. Boyd, and V. Colvin, "Epoxy resin photopolymer composites for volume holography," Chem. Mater. 12, 1431-1438 (2000).
13. G. Odian, Principles of Polymerization (Wiley, 1991).
14. S. Blaya, L. Carretero, R. F. Madrigal, M. Ulibarrena, P. Acebal, and A. Fimia, "Photopolymerization model for holographic gratings formation in photopolymers," Appl. Phys. B 77, 639-662 (2003).
15. 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. Express 13, 6990-7004 (2005).
16. M. R. Gleeson, D. Sabol, S. Liu, C. E. Close, J. V. Kelly, and J. T. Sheridan, "Improvement of the spatial frequency response of photopolymer materials by modifying polymer chain length," J. Opt. Soc. Am. B 25, 396-406 (2008).
17. C. H. Bamford, A. D. Jenkins, and R. Johnston, "Termination by primary radicals in vinyl polymerization," Trans. Faraday Soc. 55, 1451-1460 (1959).
18. M. D. Goodner, H. R. Lee, and C. N. Bowman, "Method for determining the kinetic parameters in diffusion-controlled free-radical homopolymerizations, " Ind. Eng. Chem. Res. 36, 1247-1252 (1997).
19. M. D. Goodner and C. N. Bowman, "Modeling primary radical termination and its effects on autoacceleration in photopolymerization kinetics," Macromolecules 32, 6552-6559 (1999).
20. H. K. Mahabadi, "Effects of chain-length dependence of termination rate-constant on the kinetics of free-radical polymerization. Part 1. Evaluation of an analytical expression relating the apparent rate-constant of termination to the number-average degree of polymerization," Macromolecules 18, 1319-1324 (1985).
21. A. Fimia, N. Lopez, F. Mateos, R. Sastre, J. Pineda, and F. Amatguerri, "Elimination of oxygen inhibition in photopolymer system used as holographic recording materials," J. Mod. Opt. 40, 699-706 (1993).
22. A. K. O'Brien and C. N. Bowman, "Modeling the effect of oxygen on photopolymerization kinetics," Macromol. Theory Simul. 15(2), 176-182 (2006).
23. M. R. Gleeson, J. V. Kelly, C. E. Close, F. T. O'Neill, and J. T. Sheridan, "Effects of absorption and inhibition during grating formation in photopolymer materials," J. Opt. Soc. Am. B 23, 2079-2088 (2006).
24. L. Carretero, S. Blaya, R. Mallavia, R. F. Madrigal, A. Belendez, and A. Fimia, "Theoretical and experimental study of the bleaching of a dye in a film-polymerization process," Appl. Opt. 37, 4496-4499 (1998).
25. T. Manabe, T. Utsumi, and S. Okamura, "Behavior of primary radicals in vinyl polymerization," J. Polym. Sci. 58(166), 121-146 (1962).
26. C. Decker, B. Elzaouk, and D. Decker, "Kinetic study of ultrafast photopolymerizations reactions," J. Macromol. Sci. Pure Appl. Chem. A33(2), 173-190 (1996).
27. A. K. Doolittle, "Studies in Newtonian flow II. The dependence of the viscosity of liquids on free-space," J. Appl. Phys. 22, 1471-1475 (1951).
28. A. Bondi, "Free volumes and free rotation in simple liquids and liquid saturated hydrocarbons," J. Phys. Chem. 58, 929-939 (1954).
29. F. L. Marten and A. E. Hamielec, "High-conversion diffusion-controlled polymerization of styrene, Part 1," J. Appl. Polym. Sci. 27(2), 489-505 (1982).
30. C. N. Bowman and N. A. Peppas, "Coupling of kinetics and volume relaxation during polymerizations of multiacrylates and multimethacrylates, " Macromolecules 24, 1914-1920 (1991).
31. M. L. Williams, R. F. Landel, and J. D. Ferry, "Temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids," Phys. Rev. 98, 1549-1549 (1955).
32. K. A. Berchtold, T. M. Lovestead, and C. N. Bowman, "Coupling chain length dependent and reaction diffusion controlled termination in the free radical polymerization of multivinyl (meth)acrylates," Macromolecules 35, 7968-7975 (2002).
33. I. Aubrecht, M. Miler, and I. Koudela, "Recording of holographic diffraction gratings in photopolymers: Theoretical modelling and real-time monitoring of grating growth," J. Mod. Opt. 45, 1465-1477 (1998).
34. A. V. Galstyan, R. S. Hakobyan, S. Harbour, and T. Galstian, "Study of the inhibition period prior to the holographic grating formation in liquid crystal photopolymerizable materials," Electronic-Liquid Crystal Communications (2004). Available at Documents/T.V Galstian-2004-05-05-11-13-17
35. "PreSens GmbH-precision sensing," www.presens.de/html/start. html (retrieved 2007).
36. K. A. Connors, Chemical Kinetics: The Study of Reaction Rates in Solutions (Wiley-VCH, 1990).
37. J. T. Sheridan and J. R. Lawrence, "Nonlocal-response diffusion model of holographic recording in photopolymer," J. Opt. Soc. Am. A 17, 1108-1114 (2000).
38. J. H. Kwon, H. C. Hwang, and K. C. Woo, "Analysis of temporal behavior of beams diffracted by volume gratings formed in photopolymers," J. Opt. Soc. Am. B 16, 1651-1657 (1999).
39. J. R. Lawrence, F. T. O'Neill, and J. T. Sheridan, "Adjusted intensity nonlocal diffusion model of photopolymer grating formation," J. Opt. Soc. Am. B 19, 621-629 (2002).
40. J. V. Kelly, F. T. ONeill, J. T. Sheridan, C. Neipp, S. Gallego, and M. Ortuno, "Holographic photopolymer materials: nonlocal polymerization-driven diffusion under nonideal kinetic conditions," J. Opt. Soc. Am. B 22,407-416 (2005).
41. J. T. Sheridan, M. R. Gleeson, C. E. Close, and J. V. Kelly, "Optical response of photopolymer materials for holographic data storage applications," J. Nanosci. Nanotechnol. 7, 232-242 (2007).
42. H. Kogelnik, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909-2945 (1969).
43. V. L. Colvin, R. G. Larson, A. L. Harris, and M. L. Schilling, "Quantitative model of volume hologram formation in photopolymers," J. Appl. Phys. 81, 5913-5923 (1997).
44. C. Neipp, A. Belendez, S. Gallego, M. Ortuno, I. Pascual, and J. T. Sheridan, "Angular responses of the first and second diffracted orders in transmission diffraction grating recorded on photopolymer material," Opt. Express 11, 1835-1843 (2003).
45. J. V. Kelly, M. R. Gleeson, C. E. Close, F. T. O'Neill, J. T. Sheridan, S. Gallego, and C. Neipp, "Temporal response and first order volume changes during grating formation in photopolymers," J. Appl. Phys. 99, 113105 (2006).
46. R. L. Sutherland, V. P. Tondiglia, L. V. Natarajan, and T. J. Bunning, "Phenomenological model of anisotropic volume hologram formation in liquid-crystal-photopolymer mixtures," J. Appl. Phys. 96, 951-965 (2004).