Efficient electromagnetic modeling method for large-scale arrays of optical nanoresonators on a metallic substrate based on the coupling theory of quasinormal mode.

作者：Hui Zhao, Haitao Liu · 发表于：Optics Express · 年份：2026 · DOI：10.1364/oe.589311 · 被引用次数：1 · 研究领域：Medicine

In a recent work [Opt. Express32(5), 7171 (2024)10.1364/OE.515087], an efficient method based on the coupling theory of quasinormal mode (QNM) was proposed for the electromagnetic modeling of large-scale arrays of optical nanoresonators. In this method, the problem of QNM far-field divergence in the QNM-coupling theory is solved by introducing regularized QNM (RQNM). However, this method requires that each scatterer of resonator in the array is located in a homogeneous background medium, so that the RQNM far field over a large spatial range can be computed efficiently through the plane-wave expansion calculated by the stationary-phase principle (PESP). In this paper, we extend the method to the case where each resonator in the array is located on a metallic substrate. We propose to use radially propagating surface plasmon (RSP) to achieve an efficient calculation of the RQNM far field over a large spatial range near the metallic substrate surface for every single resonator. Thus, based on the QNM-coupling theory, an efficient computation of the electromagnetic response of a large-scale array of optical nanoresonators on a metallic substrate can be achieved. The numerical example of a large-scale periodic array of nanoantennas on a gold substrate with a dielectric spacer shows that compared to traditional full-wave numerical methods, this method can reduce the computation time by 1∼2 orders of magnitude while maintaining a moderate computational accuracy, and enable the calcul...