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Temporal response and first order volume changes during grating formation in photopolymers

机译:光敏聚合物光栅形成过程中的时间响应和一级体积变化

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摘要

We examine the evolution of the refractive index modulation when recording gratings in an acrylamide based photopolymer. A nonlocal diffusion model is used to predict theoretically the grating evolution. The model has been developed to account for both nonlocal spatial and temporal effects in the medium, which can be attributed to polymer chain growth. Previously it was assumed that the temporal effect of chain growth could be neglected. However, temporal effects due to chain growth and monomer diffusion are shown to be significant, particularly over short recording periods where dark field amplification is observed. The diffusion model is solved using a finite-difference technique to predict the evolution of the monomer and polymer concentrations throughout grating recording. Using independently measured refractive index values for each component of the recording medium, the Lorentz-Lorenz relation is used to determine the corresponding refractive index modulation. The corresponding diffraction efficiency is then determined using rigorous coupled wave analysis. The diffraction efficiency curves are presented for gratings recorded using short exposure times, monitored in real time, both during and after recording. The effect of volume shrinkage of polymer on grating evolution is also examined. Both the nonlocal temporal response of the material and monomer diffusion are shown to influence refractive index modulation postexposure.
机译:当在基于丙烯酰胺的光敏聚合物中记录光栅时,我们检查了折射率调制的演变。非局部扩散模型用于理论上预测光栅的演变。已经开发了该模型以考虑介质中的非局部空间和时间影响,这可以归因于聚合物链的生长。以前假设可以忽略链增长的时间效应。然而,由于链增长和单体扩散引起的时间效应显示出显着的影响,尤其是在观察到暗场放大的短记录期间。使用有限差分技术求解扩散模型,以预测整个光栅记录过程中单体和聚合物浓度的变化。使用针对记录介质的每个成分独立测量的折射率值,洛伦兹-洛伦茨关系用于确定相应的折射率调制。然后使用严格的耦合波分析确定相应的衍射效率。给出了使用短曝光时间记录的光栅的衍射效率曲线,并在记录期间和之后实时监控。还检查了聚合物体积收缩对光栅演化的影响。材料的非局部时间响应和单体扩散都显示出影响曝光后折射率调制。

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