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arXiv 2102.07509physics.optics
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极端纳米光学正则准正规模分析的一般框架

A general framework of canonical quasinormal mode analysis for extreme nano-optics

Qiang Zhou, Pu Zhang, Xue-Wen Chen

摘要:

与极端局域化场相关的光学现象应该考虑非局域和量子效应,这对用本征模的图像概念化物理构成了障碍。在这里,我们首先提出了一个广义的洛伦兹模型来描述一般的非局域介质下的线性平均场近似和制定无源麦克斯韦方程组作为一个线性本征值问题来定义的准正规模式。然后,我们介绍了一个正交正规化方案的模式,并建立了一个典型的准正规模式框架一般非局域介质。给出了量子流体力学模型和具有非局域响应的极坐标系下金属的显式形式。该框架首次实现了量子隧穿机制中模式跃迁的直接模式分析,并提供了超出通常远场光谱分析的物理见解。应用于非局域极化激元,该框架也揭示了纵向声子极化激元在光学响应中的重要作用。

英文摘要:

Optical phenomena associated with extremely localized field should be understood with considerations of nonlocal and quantum effects, which pose a hurdle to conceptualize the physics with a picture of eigenmodes. Here we first propose a generalized Lorentz model to describe general nonlocal media under linear mean-field approximation and formulate source-free Maxwell's equations as a linear eigenvalue problem to define the quasinormal modes. Then we introduce an orthonormalization scheme for the modes and establish a canonical quasinormal mode framework for general nonlocal media. Explicit formalisms for metals described by quantum hydrodynamic model and polar dielectrics with nonlocal response are exemplified. The framework enables for the first time direct modal analysis of mode transition in the quantum tunneling regime and provides physical insights beyond usual far-field spectroscopic analysis. Applied to nonlocal polar dielectrics, the framework also unveils the important roles of longitudinal phonon polaritons in optical response.

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