2014
DOI: 10.1364/josab.31.002648
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Three-dimensional extended nonlocal photopolymerization driven diffusion model Part II Photopolymerization and model development

Abstract: In Part I of this paper [J. Opt. Soc. Am. B 31, 2638], an absorption model is used to predict the dye concentration and light intensity distribution inside a photopolymer medium volume. These results are now used as inputs to a Runge-Kutta algorithm acting as a subgrid of the finite-difference time-domain (FDTD) method. In this way, a full 3D time-dependent nonlocal photopolymerization driven diffusion model is implemented. This enables a more accurate and physical description of the evolutions of the holograp… Show more

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Cited by 38 publications
(7 citation statements)
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“…At one end of the spectrum are accurate physicochemical models accounting for each of the reaction steps (minimally photoinitiation, propagation, and termination) [19][20][21][22], nonuniform distributions of polymer chain length [23,24], generation and diffusion of thermal energy [15], mass transport [25], and intricate optical effects [26,27]. Such models, however, often suffer from an excessive number of parameters, some of which cannot be measured experimentally, and thus they offer limited insight and practical use.…”
Section: Introductionmentioning
confidence: 99%
“…At one end of the spectrum are accurate physicochemical models accounting for each of the reaction steps (minimally photoinitiation, propagation, and termination) [19][20][21][22], nonuniform distributions of polymer chain length [23,24], generation and diffusion of thermal energy [15], mass transport [25], and intricate optical effects [26,27]. Such models, however, often suffer from an excessive number of parameters, some of which cannot be measured experimentally, and thus they offer limited insight and practical use.…”
Section: Introductionmentioning
confidence: 99%
“…Recent interest in photopolymerization has sparked the development of a range of models that can be roughly grouped into two categories depending on their complexity. In one group are physicochemical models that accurately account for each of the reaction steps, e.g., photolysis, photoinitiation, propagation, chain transfer, and termination [31][32][33][34]; oxygen inhibition [35,36]; nonuniform distributions in the length of polymer chains [37,38]; heat generation and transport [20]; mass transport due to convection and/or diffusion [25,39]; and optical effects such as scattering [40] and refractive index modulation [41]. Although such models can offer theoretical insights into photopolymerization processes, their practical use is limited by a lack of tractability and large number of parameters, some of which cannot be measured experimentally.…”
Section: Introductionmentioning
confidence: 99%
“…Radical chain polymerization results in the chain growth away from the initial spot. Consequently, the spatial effect of monomer polymerization is nonlocal [30][31][32][33][34]. The diffusion model with nonlocal response is an effective approach in analyzing the actual photopolymerization process.…”
Section: E Theoretical Description Of Swelling Dynamicsmentioning
confidence: 99%