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A fundamental feature of the quasi-normal modes (QNMs), which describe light interaction with open (leaky) systems like nanoparticles, lies in the question of the completeness of the QNMs representation and in the divergence of their field…

Optics · Physics 2019-01-08 Mohamed Ismail Abdelrahman , Boris Gralak

We describe how the finite-difference time-domain (FDTD) technique can be used to compute the quasinormal mode (QNM) for metallic nano-resonators, which is important for describing and understanding light-matter interactions in…

Mesoscale and Nanoscale Physics · Physics 2015-01-26 Rong-Chun Ge , S. Hughes

In this work, we investigate the gravitational quasinormal modes (QNMs) and the gravitational resonances of a thick brane model. We use the asymptotic iteration and shooting methods to obtain the quasinormal frequencies (QNFs) of the brane.…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Qin Tan , Wen-Di Guo , Yu-Peng Zhang , Yu-Xiao Liu

Understanding light-matter interactions using localized surface plasmons (LSPs) is of fundamental interest in classical and quantum plasmonics and has a wide range of applications. In order to understand the spatial properties of LSPs,…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Rong-Chun Ge , Stephen Hughes

The rapid progress of nanophotonics demands theoretical frameworks capable of predicting the resonant behavior of complex systems comprising constituents of varying nature, operating beyond the weak-coupling, high-Q regime where classical…

Optics · Physics 2025-10-22 Tong Wu , Philippe Lalanne

We first present a quasinormal mode (QNM) theory for coupled loss-gain resonators working near an exceptional point. Assuming linear media, which can be fully quantified using the complex pole properties of the QNMs, we show how the QNMs…

Optics · Physics 2021-11-04 Juanjuan Ren , Sebastian Franke , Stephen Hughes

Based on quasinormal-mode theory, we propose a novel approach enabling a deep analytical insight into the multi-parameter design and optimization of nonlinear photonic structures at subwavelength scale. A key distinction of our method from…

We report a self-consistent quasinormal mode theory for nanometer scale electromagnetism where the possible nonlocal and quantum effects are treated through quantum surface responses. With Feibelman's frequency-dependent \textit{d}…

Optics · Physics 2022-04-05 Qiang Zhou , Pu Zhang , Xue-Wen Chen

The problem of finding the optimal current distribution supported by small radiators yielding the minimum quality (Q) factor is a fundamental problem in electromagnetism. Q factor bounds constrain the maximum operational bandwidth of…

Quasi-normal modes (QNMs) and coherent control of light-matter interactions (through synchronized multiple coherent incident waves) are profound and pervasive concepts in and beyond photonics, making accessible photonic manipulations with…

Optics · Physics 2025-02-26 Jingwei Wang , Pengxiang Wang , Chaofan Zhang , Yuntian Chen , Wei Liu

QNMnonreciprocal_resonators is an extension (posted in 2021) of the QNMEig solver of the freeware package MAN. It provides a comprehensive presentation of the computation and normalization of electromagnetic quasinormal modes (QNMs) of…

Optics · Physics 2021-06-11 Tong Wu , Philippe Lalanne

We describe a powerful and intuitive technique for modeling light-matter interactions in classical and quantum nanoplasmonics. Our approach uses a quasinormal mode expansion of the Green function within a metal nanoresonator of arbitrary…

Quantum Physics · Physics 2015-06-18 Rong-Chun Ge , Philip Trost Kristensen , Jeff. F. Young , Stephen Hughes

We develop a model for the coupling of quasi-normal modes in open photonic systems consisting of two resonators. By expressing the modes of the coupled system as a linear combination of the modes of the individual particles, we obtain a…

Optics · Physics 2016-11-03 Benjamin Vial , Yang Hao

Topological photonics has emerged as a novel paradigm for the design of electromagnetic systems from microwaves to nanophotonics. Studies to date have largely focused on the demonstration of fundamental concepts, such as non-reciprocity and…

Optics · Physics 2020-09-30 Daniel Leykam , Luqi Yuan

Nonlocal effects have been shown to be responsible for a variety of non-trivial optical effects in small-size plasmonic nanoparticles, beyond classical electrodynamics. However, it is not clear whether optical mode descriptions can be…

All electromagnetic systems, in particular resonators or antennas, have resonances with finite lifetimes. The associated eigenstates, also called quasinormal modes, are essentially non-Hermitian and determine the optical responses of the…

Computational Physics · Physics 2022-12-20 T. Wu , D. Arrivault , W. Yan , P. Lalanne

It is well known that the quasinormal modes (or resonant states) of photonic structures can be associated with the poles of the scattering matrix of the system in the complex-frequency plane. In this work, the inverse problem, i.e., the…

Optics · Physics 2017-06-14 Filippo Alpeggiani , Nikhil Parappurath , Ewold Verhagen , L. Kuipers

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,…

Optics · Physics 2020-10-22 Hanwen Zhang , Owen D. Miller

Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Béatrice Bonga , Adam Pound

This work presents an updated version of the previously released freeware MAN (Modal Analysis of Nanoresonators) [Comput Phys Commun 284, 108627 (2023)], a software package designed to efficiently compute and normalize quasinormal modes…

Optics · Physics 2026-04-17 Thomas Christopoulos , Tong Wu , P. Lalanne