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arXiv 2607.03040physics.opticsmath-phmath.MP
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被动散射网络中的可编程混合异常点

Programmable Hybrid Exceptional Points in Passive Scattering Networks

Nanyang Technological University(南洋理工大学);Institute for Digital Molecular Analytics and Science(数字分子分析与科学研究所)

Kaiyuan Wang, Niall Byrnes, Matthew R. Foreman

AI总结:

研究如何在被动散射网络中实现可编程混合异常点,利用投影诱导非酉性,通过判别式等制定设计规则,在四端口光子网络验证,可抑制热漂移响应并保持对局部信号的平方根灵敏度。

摘要:

异常点长期以来有望增强对物理信号的传感,但实际上受到噪声同时增强的限制。本文展示了完全被动、相位调谐的多端口散射网络能够实现对扰动具有定制各向异性响应的散射异常点。利用投影诱导非酉性在仅测量系统端口子集时实现有效的非厄米行为。通过根据投影散射子块的判别式及其方向导数来制定异常点设计,给出了将可编程链路相位数量与可实现的黎曼曲面拓扑结构相关联的控制计数规则。我们在一个四端口光子网络中通过设计一个各向异性异常点和一个沿两个参数方向具有线性分裂的狄拉克型异常点来演示我们的框架。我们进一步将基于网络的传感器的全局热漂移响应抑制到3/2幂律缩放,同时保持对局部信号的平方根灵敏度。由于有效的非厄米性纯粹源于端口投影,我们的方法可转移到集成光子和微波网格、声学电路以及投影超表面,提供了一条仅通过相位实现可重构非厄米响应和抗噪声异常点传感的途径。

英文摘要:

Exceptional points (EPs) have long promised enhanced sensing of physical signals, but have practically been limited by simultaneous enhancement of noise. Aligning an EP's non-analytic response with target perturbations while suppressing noise has, however, remained challenging. Here we show that fully passive, phase-tuned multi-port scattering networks enable scattering EPs with tailored anisotropic response to perturbations. We leverage projection-induced non-unitarity to realize effective non-Hermitian behavior when measuring only a subset of system ports. By formulating EP design in terms of the discriminant of the projected scattering sub-block and its directional derivatives, we give control-counting rules relating the number of programmable link phases to achievable Riemann surface topologies. We demonstrate our framework in a four-port photonic network by designing both an anisotropic EP and a Dirac-type EP with linear splitting along two parametric directions. We further suppress the global thermal drift response of a network-based sensor to a 3/2 power-law scaling while retaining square-root sensitivity to localized signals. Since the effective non-Hermiticity arises purely from port projection, our approach transfers to integrated photonic and microwave meshes, acoustic circuits, and projected metasurfaces, offering a phase-only route to reconfigurable non-Hermitian response and noise-robust EP sensing.

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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