时间领域的不均扩展:高斯-洛伦茨,高斯-德鲁德和高斯-德比材料模型
Ludmila J Prokopeva1, Alexander V Kildishev1
1Elmore Family School of Electrical and Computer Engineering, Birck Nanotechnology Center and Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, IN 47907, USA.
Nanophotonics (Berlin, Germany)
|November 17, 2025
概括
这项研究引入了一个新的框架,用于模拟具有复杂扩展的介电函数,从而能够准确地检索材料属性. 这种基于光谱扩散的方法在各种科学领域具有广泛的适用性.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 光学是什么?光学是什么?光学是什么?
背景情况:
- 模拟具有不均质扩展的介电函数一直是长期存在的挑战.
- 之前的Efimov-Khitrov (1979) 和Brendel-Bormann (1992) 的尝试奠定了基础,但缺乏全面的一致性.
- 在无序的介质中依赖频率或时间的分散使传统模型复杂化.
研究的目的:
- 提出一个全面的,因果和物理一致的框架,用于模拟具有不均扩展的介电函数.
- 开发一种方法,准确地模拟来自多个扩展机制的线形.
- 为了能够检索内在的同质线宽和无序控制的材料分散特征.
主要方法:
- 开发了基于光谱扩散的理论框架,使用频域中的复杂概率密度函数和时间域中的特征函数.
- 设计了一种受约束的基于最小值的半分析近似方法 (MiMOSA),用于在时间域的麦克斯韦溶解器中实现分散函数.
- 使用MiMOSA.为给定的近似误差生成了尽可能短的数值模板.
主要成果:
- 精确建模由多个扩展机制产生的线形状.
- 成功检索了内在的均线宽和不均的乱控制的材料分散特征.
- 证明了MiMOSA模型对高斯-洛伦茨振荡器,高斯-德拜放松和高斯-德鲁德导电性的应用.
结论:
- 拟议的框架提供了一种物理上一致的方法,用于模拟非洛伦兹扩展的介电函数.
- 米莫萨方法为时间域麦克斯韦解析器提供了高效的实现.
- 这些模型不仅适用于光学,还包括声学,等离子体物理学和量子技术,包括多普勒转移.
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