准正规耦合模理论

摘要：

耦合模理论（CMT）是一种将电磁波与散射体之间的相互作用分解为共振及其与功率传输通道耦合的强大框架。它在纳米光子学的少共振、弱耦合共振器系统中有广泛的应用，但不能应用于新兴重要的复杂散射体。我们使用准正规模式发展一个精确的，从头算广义耦合模理论麦克斯韦方程组。这种准正规耦合模理论，我们表示为“QCMT”，使一个直接的，基于模式的散射矩阵的建设，而不诉诸外部求解器或数据。我们考虑正则散射体，我们表明，CMT模型必然是高度不准确的，而QCMT表现出近乎完美的精度。

英文摘要：

Coupled mode theory (CMT) is a powerful framework for decomposing interactions between electromagnetic waves and scattering bodies into resonances and their couplings with power-carrying channels. It has widespread use in few-resonance, weakly coupled resonator systems across nanophotonics, but cannot be applied to the complex scatterers of emerging importance. We use quasinormal modes to develop an exact, ab initio generalized coupled mode theory from Maxwell's equations. This quasinormal coupled mode theory, which we denote "QCMT", enables a direct, mode-based construction of scattering matrices without resorting to external solvers or data. We consider canonical scattering bodies, for which we show that a CMT model will necessarily be highly inaccurate, whereas QCMT exhibits near-perfect accuracy.

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