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Comparison of holographic photopolymer materials by use of analytic nonlocal diffusion models

机译:利用解析非局部扩散模型比较全息光敏聚合物材料

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The one-dimensional diffusion equation governing holographic grating formation in photopolymers, which includes both nonlocal material response and generalized dependence of the rate of polymerization on the illuminating intensity, has been previously solved under the two-harmonic expansion assumption. The resulting analytic expressions for the monomer and polymer concentrations have been derived and their ranges of validity tested in comparison with the more accurate numerical four-harmonic case. We used these analytic expressions to carry out a study of experimental results presented in the literature over a 30-year period. Automatic fitting of the data with these formulas allows material parameters, including the nonlocal chain-length variance g, to be estimated. In this way, (i) a quantitative comparison of different materials can be made, and (ii) a standard form of experimental result presentation is proposed to facilitate such a procedure. (C) 2002 Optical Society of America. [References: 34]
机译:一维扩散方程控制光敏聚合物中的全息光栅形成,它既包括非局部材料响应,又包括聚合速率对照明强度的广义依赖性,这是在二谐波展开假设下预先解决的。与更精确的数值四谐波情况相比,得出了单体和聚合物浓度的所得分析表达式,并测试了其有效性范围。我们使用这些分析表达式对文献中提出的30年内的实验结果进行了研究。使用这些公式自动拟合数据可以估算材料参数,包括非局部链长差异g。这样,(i)可以对不同材料进行定量比较,并且(ii)建议采用标准形式的实验结果表示法来简化此过程。 (C)2002年美国眼镜学会。 [参考:34]

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