8 May 2015 Three-dimensional numerical model of holographic grating formation in photopolymer materials
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When the large thickness is used as the holographic storage materials, a non-ignorable problem is the light intensity attenuation in depth due to high absorptive of the dye. For this reason more completely modeling the evolutions inside the material is necessary to consider into the developed standard kinetic model. In this paper the photo-polymerization processes during the large thickness holographic grating formation are analyzed. A 3-dimensional algorithm is present by deriving the system partial differential rate equations governing each associated chemical species, and using the finite difference approximation, these equations can be solved numerically. This extended model describes the time varying behaviors of the non-uniform photo-physical and the photochemical evolutions in photopolymer materials. In this model both dye molecules consumption and light energy absorption are calculated time varyingly, and then the polymer and monomer concentrations distributions are obtained. Applying the Lorenz-Lorenz relationship, the non-uniform grating formatted in material depth, and its refractive index, which is distorted from ideal sinusoidal spatial distribution, can be more accurately predicted.
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Haoyu Li, Haoyu Li, Yue Qi, Yue Qi, Ra'ed Malallah, Ra'ed Malallah, John T. Sheridan, John T. Sheridan, "Three-dimensional numerical model of holographic grating formation in photopolymer materials", Proc. SPIE 9508, Holography: Advances and Modern Trends IV, 95080B (8 May 2015); doi: 10.1117/12.2086611; https://doi.org/10.1117/12.2086611

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