发表机构
Zhejiang University; Zhejiang University/University of Illinois at Urbana–Champaign (ZJU-UIUC) Institute, Zhejiang University; Huawei Technologies Co., Ltd.（浙江大学; 浙江大学伊利诺伊大学厄巴纳-香槟校区联合学院; 华为技术有限公司）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对多重散射中源到观测算子有限模态表示不精确的问题，提出散射格林算子及迹空间分解，实现算子范数收敛的VSWF实现，并构造有限度量核心，保证奇异值均匀收敛，全波基准验证了有效性。
AI 中文摘要
源到观测算子为多查询电磁（EM）预测和通信模式分析提供了可重用的环境级描述。然而，在实际的多重散射模型中，这些算子用有限数量的角模态表示，并且对于选定激励或连续截断阶数之间的一致性并不能保证整个映射的均匀精度或其奇异通道的可靠性。为弥补这一差距，我们将环境诱导响应表述为固定连续源和观测空间上的散射格林算子，并推导出精确的迹空间分解，以重构麦克斯韦散射场。对于固定的、两两不相交的包围迹球和一个适定的集体问题，嵌套矢量球面波函数（VSWF）实现在算子范数下收敛。一个结构界将外部模态尾部与集体预解灵敏度分开，算子范数收敛保证了奇异值的均匀收敛。我们进一步构造了一个有限度量核心，它保留了每个有限阶算子的非零奇异值，并在不将外部支撑离散自由度（DoF）引入谱问题的情况下重构匹配的正交源-场通道。全波基准验证了有限阶实现。一项受控的近共振双球研究表明，相邻阶一致性可能先于主导高阶集体方向的分辨。它还表明，只有部分内部放大出现在外部可访问的增益中，并且共振在原本保留的低阶族之上促进了一个独特的高阶通道对。由此产生的框架为多重散射源到观测算子及其可访问通道提供了收敛的、度量一致的有限模态表示。
英文摘要
Source-to-observation operators provide reusable environment-level descriptions for multi-query electromagnetic (EM) prediction and communication-mode analysis. However, in practical multiple-scattering models, these operators are represented with finitely many angular modes, and agreement for selected excitations or between successive truncation orders does not establish uniform accuracy of the full map or reliability of its singular channels. To close this gap, we formulate the environment-induced response as a scattering Green operator on fixed continuous source and observation spaces and derive an exact trace-space factorization that reconstructs the Maxwell scattered field. For fixed, pairwise-disjoint enclosing trace spheres and a well-posed collective problem, nested vector spherical wave function (VSWF) realizations converge in operator norm. A structural bound separates external modal tails from collective-resolvent sensitivity, and operator-norm convergence guarantees uniform convergence of the singular values. We further construct a finite metric core that preserves the nonzero singular values of each finite-order operator and reconstructs matched orthonormal source--field channels without introducing external-support discretization degrees of freedom (DoF) into the spectral problem. Full-wave benchmarks verify the finite-order implementation. A controlled near-resonant two-sphere study shows that adjacent-order agreement can precede resolution of the dominant high-order collective direction. It further shows that only part of the internal amplification appears in externally accessible gains and that resonance promotes a distinct high-order channel pair above an otherwise preserved low-order family. The resulting framework provides a convergent, metric-consistent finite-modal representation of multiple-scattering source-to-observation operators and their accessible channels.
Comments31 pages, 12 figures; supplementary material included
