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arXiv 2606.27445physics.opticscs.NAmath.NA
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色散介质中非线性随机偏振分析

Analysis of Nonlinear Random Polarization in Dispersive Dielectrics

Oregon State University(俄勒冈州立大学)

Nathan L. Gibson, Emmanuel E. Oguadimma

AI总结:

采用多项式混沌展开将随机非线性德拜偏振模型转化为确定性框架,扩展Yee离散化实现二阶精度,研究非线性特性对不确定性的敏感性。

摘要:

我们研究了由具有随机扰动的非线性德拜介质建模的介电材料中电磁波的时域传播。采用多项式混沌展开将随机非线性德拜偏振模型转化为确定性框架。我们将Yee离散化扩展到所得耦合系统,建立了二阶精度,并通过数值验证了收敛性。我们研究了非线性特性对不确定性的敏感性,特别是当输入信号幅度较大时。鉴于制造中的挑战,不确定性可能导致最优参数变化并可能破坏非线性效应,我们的方法在模拟中纳入了这些不确定性。这可以使得基于模型的设计识别出即使在变化中也能保持所需效果的可实现材料。本研究的结果有助于更深入地理解复杂介质中的波传播,对光通信、材料科学和电磁波控制等应用具有潜在意义。

英文摘要:

We present a study on the time-domain propagation of electromagnetic waves in dielectric materials modeled by a nonlinear Debye medium with random perturbations. Polynomial Chaos Expansions are employed to transform the random nonlinear Debye polarization model into a deterministic framework. We extend the Yee discretization to the resulting coupled system, establish second order accuracy, and verify convergence numerically. We investigate the sensitivity of nonlinear properties to uncertainty, particularly when the amplitude of the input signal is large. Given the challenges in manufacturing where uncertainties can cause optimal parameters to vary and potentially disrupt nonlinear effects, our approach incorporates these uncertainties within the simulation. This can enable the model-based design identification of realizable materials that maintain their desired effects despite variations. The findings from this study contribute to a deeper understanding of wave propagation in complex media, with potential implications for applications in optical communications, material science, and electromagnetic wave control.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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