arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2602.00339physics.optics
收藏

拓扑优化的分布式三维各向异性拉曼发射

Topology-optimized distributed 3d anisotropic Raman emission

Massachusetts Institute of Technology(麻省理工学院);Vrije Universiteit Amsterdam(阿姆斯特丹自由大学);Rice University(莱斯大学);Duke University(杜克大学);Technical University of Denmark(丹麦技术大学)

Ian M. Hammond, Pengning Chao, Henry O. Everitt, Rasmus E. Christiansen, Alan Edelman, Francesc Verdugo, Steven G. Johnson

AI总结:

本文提出了一种用于制造的3D SERS基底拓扑优化方法,通过非线性张量平均处理各向异性分子,优化了银和Si3N4器件,实现了在弹性与非弹性散射中随机取向分子的平均信号最大化。

摘要:

拓扑优化(TO)在3D表面增强拉曼散射(SERS)基底中面临管理场奇点和建模各向异性分子取向平均的挑战。我们提出了适用于制造的3D拓扑优化方法,以最大化随机取向各向异性分子在弹性与非弹性散射中的空间平均信号。新的迹公式提供了一个闭合形式的各向异性拉曼张量旋转平均,由于张量非线性性,这与各向同性分子不同。优化的银和Si3N4器件显示,长度尺度约束足以抑制依赖于尖锐角落处非物理数学场发散的设计。金属设计提供宽带增强并保持对典型拉曼位移的鲁棒性,而介电设计产生较窄、品质因子限制的增益,对于品质因子低于约500时劣于金属设计。我们的方法可轻松整合其他物理,如非线性损伤模型。这些结果为改进的可制造SERS基底提供了实用途径,并自然扩展到其他分布式发射设计问题。

英文摘要:

Topology optimization (TO) of 3D surface-enhanced Raman scattering (SERS) substrates faces challenges in managing field singularities and modeling orientation-averaged anisotropic molecules. We present 3D TO for manufacturable SERS substrates that maximize spatially averaged signals from randomly oriented, anisotropic molecules in both elastic and inelastic scattering. A new trace formulation provides a closed-form rotational average of anisotropic Raman tensors, which are not equivalent to isotropic molecules because of tensor nonlinearity. Optimized silver and Si3N4 devices show that lengthscale constraints are sufficient to suppress designs that rely on unphysical mathematical field divergences at sharp corners. Metallic designs deliver broadband enhancement and remain robust to typical Raman shifts, whereas dielectric designs yield narrower, quality-factor-limited gains that are inferior to metallic designs for quality factors below about 500. Our approach readily incorporates additional physics, such as a nonlinear damage model. Together, these results provide a practical route to improved manufacturable SERS substrates and extend naturally to other distributed-emitter design problems.

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。

↑