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Timestamp: 2019-04-23 16:30:51+00:00

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A holographic kinetic model is proposed to quantitatively represent the dynamics of mixed volume gratings in a bulk gold nanoparticles (NPs) doped photopolymer. Due to the polymerization-driven multicomponent diffusion, the volume refractive index grating is induced by the periodic spatial distribution of photoproduct while the absorption grating is formed by the periodic spatial distribution of gold NPs. By simulating this model with the characterization of time varying absorption modulation, it is capable to describe the behavior of gold NPs in both the polymerization and the multicomponent diffusion process. The temporal evolution of refractive index modulation and absorption modulation can be extracted, respectively, from a diffraction efficiency curve by fitting the model. The established model could be an effective method for understanding the photophysical and photochemical mechanism of holographic nanocomposite.
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Fig. 1 (a) Holographic multicomponent diffusion process in gold NPs doped PQ-PMMA photopolymer; (b) Schematic graph for the formation of holographic mixed gratings.
Fig. 2 Spatial and temporal evolution of PQ molecules (a), gold NPs (b), MMA molecules (c) and photoproducts (d) in the polymeric nanocomposite under holographic exposure. Bright and dark regions of the interference pattern are indicated in the corresponding area of each subgraph.
Fig. 3 (a) Comparison of the spatial distribution of PQ molecules at t = 6000s in the photopolymer without and with gold NPs; (b) The temporal evolution of spatial distribution of PQ molecules in the photopolymer with gold NPs.
Fig. 4 Comparisons of experimental results and simulation fitting results for the temporal diffraction efficiency for photopolymer without gold NPs (hollow circles for the experiment and solid green line for the theory), with 0.05 vol.% gold NPs (hollow triangles for the experiment and solid red line for the theory) and with 0.24 vol.% gold NPs (hollow squares for the experiment and solid blue line for the theory).
Fig. 5 Temporal evolution of refractive index modulation (a) and absorption modulation (b) for photopolymer without gold NPs (dashed green line), with 0.05 vol.% gold NPs (solid red line) and with 0.24 vol.% gold NPs (dotted blue line).
(6) ∂ [ A u ] ( x , t ) ∂ t = D P Q − A u ( [ P Q ] ( x , t ) ∂ 2 [ A u ] ( x , t ) ∂ x 2 − [ A u ] ( x , t ) ∂ 2 [ P Q ] ( x , t ) ∂ x 2 ) + D M − A u ( [ M ] ( x , t ) ∂ 2 [ A u ] ( x , t ) ∂ x 2 − [ A u ] ( x , t ) ∂ 2 [ M ] ( x , t ) ∂ x 2 ) .
(7) ∂ [ P ] ( x , t ) ∂ t = k m [ P Q * ] ( x , t ) [ M ] ( x , t ) + ∫ − ∞ + ∞ R ( x , x ' ) k p [ P Q * ] ( x ' , t ) [ P M M A ] ( x ' , t ) d x ' .

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