arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2209.03043physics.opticsphysics.app-ph
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采用3D角谱法的Mie散射

Mie Scattering with 3D Angular Spectrum Method

Joel Lamberg, Faezeh Zarrinkhat, Aleksi Tamminen, Mariangela Baggio, Juha Ala-Laurinaho, Juan Rius, Jordi Romeu, Elsayed E. M. Khaled, Zachary Taylor

AI总结:

本文提出3D角谱法,从任意源场分布定义光束形状系数,以支持源在计算域内灵活放置,并经共振对比与数学证明验证其高精度和广泛光学应用价值。

摘要:

Mie理论是对多层球体电磁散射进行建模的一种强大方法。通常,入射光束会被展开为由光束形状系数定义的矢量球谐表示,而多层球体散射则通过T矩阵方法获得。然而,对于任意形状的入射光束,获取其光束形状系数在源位置方面存在限制,并且当入射光束定义在计算域内部或外部、或散射体表面时,需要采用不同的方法。我们提出一种3D角谱法,用于根据任意源场分布定义光束形状系数。该方法使源能够自由放置在计算域内而不产生奇点,从而为光束设计带来灵活性。我们通过将形貌依赖共振与已知值进行比较,演示了入射场合成和球形散射,取得了极佳的一致性和很高的精度。此外,我们给出了支持所提方案的数学证明。所提出的方法对光学系统和逆向光束设计具有显著益处。它允许使用单一方法分析光学元件与球形目标之间的电磁正向/反向传播,对光学力光束设计和分析也具有价值。

英文摘要:

Mie theory is a powerful method to model electromagnetic scattering from a multilayered sphere. Usually, the incident beam is expanded to its vector spherical harmonic representation defined by beam shape coefficients, and the multilayer sphere scattering is obtained by the T-matrix method. However, obtaining the beam shape coefficients for arbitrarily shaped incident beams has limitations on source locations and requires different methods when the incident beam is defined inside or outside the computational domain or at the scatterer surface. We propose a 3D angular spectrum method for defining beam shape coefficients from arbitrary source field distributions. This method enables the placement of the sources freely within the computational domain without singularities, allowing flexibility in beam design. We demonstrate incident field synthesis and spherical scattering by comparing morphology-dependent resonances to known values, achieving excellent matching and high accuracy. Additionally, we present mathematical proof to support our proposal. The proposed method has significant benefits for optical systems and inverse beam design. It allows for the analysis of electromagnetic forward/backward propagation between optical elements and spherical targets using a single method. It is also valuable for optical force beam design and analysis.

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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