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A multi-cavity quantization scheme is developed using quasinormal modes (QNMs) of optical cavities embedded in a homogeneous background medium for cases where retardation is significant in the inter-cavity coupling. Using quantities that…

Mesoscale and Nanoscale Physics · Physics 2024-10-24 Robert Fuchs , Juanjuan Ren , Sebastian Franke , Stephen Hughes , Marten Richter

Quasinormal modes (QNMs) are essential for understanding the stability and resonances of open systems, with increasing prominence in black hole physics. We present here the first study of QNMs of optical potentials. We show that solitons…

We investigate the possibility of using quasi-normal modes (QNMs) to probe the microscopic structure of two-dimensional (2D) anti-de Sitter (AdS$_2$) dilatonic black holes. We first extend previous results on the QNMs spectrum, found for…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Mariano Cadoni , Mauro Oi , Andrea Pierfrancesco Sanna

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng

We study the quasi-normal modes (QNMs) of static, spherically symmetric black holes in $f(R)$ theories. We show how these modes in theories with non-trivial $f(R)$ are fundamentally different from those in General Relativity. In the special…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Sayak Datta , Sukanta Bose

Quasinormal mode (QNM) spectra of black holes exhibit two open problems [Conf. Proc. C 0405132, 145 (2004); CQG 26, 163001 (2009)]: (i) the discontinuity in highly damped QNMs between Schwarzschild and Kerr solutions as $a \to 0$, and (ii)…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Changkai Chen , Jiliang Jing , Zhoujian Cao , Mengjie Wang

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

Elastic wave manipulation using large arrays of resonators is driving the need for advanced simulation and optimization methods. To address this we introduce and explore a robust framework for wave control: Quasi-normal modes (QNMs).…

The characteristic oscillations of black holes, as described by their quasinormal mode (QNM) spectrum, play a fundamental role in testing general relativity with gravitational waves. The so-called parametrized QNM framework was introduced…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Spyros Thomopoulos , Sebastian H. Völkel , Harald P. Pfeiffer

Plasmonic gap structures are among the few configurations capable of generating extreme light confinement, finding applications in surface-enhanced spectroscopy, ultrasensitive detection, photocatalysis and more. Their plasmonic response…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Pu Zhang , Christos Tserkezis , N. Asger Mortensen

When material parameters are fixed, optical responses of nanoresonators are dictated by their shapes and dimensions. Therefore, both designing nanoresonators and understanding their underlying physics would benefit from a theory that…

Optics · Physics 2020-07-08 Wei Yan , Philippe Lalanne , Min Qiu

Conventional approaches for scattering manipulations rely on the technique of field expansions into spherical harmonics (electromagnetic multipoles), which nevertheless is non-generic (expansion coefficients depend on the position of the…

Optics · Physics 2024-05-24 Pengxiang Wang , Yuntian Chen , Wei Liu

Black hole quasinormal modes (QNMs) can exhibit resonant excitations associated with avoided crossings in their complex frequency spectrum. Such resonance phenomena can serve as novel signatures for probing new physics, where additional…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Takuya Takahashi , Hayato Motohashi , Kazufumi Takahashi

In this study, we extend Leaver's continued fraction method to evaluate black hole quasinormal modes (QNMs) in systems where the effective potential exhibits a discontinuity. Besides the low-lying modes, we particularly focus on high…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Guan-Ru Li , Jodin C. Morey , Wei-Liang Qian , Ramin G. Daghigh , Michael D. Green , Kai Lin , Rui-Hong Yue

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

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

The excitation by a high frequency field of multi--level quantum systems with a slowly varying density of states is investigated. A general approach to study such systems is presented. The Floquet eigenstates are characterized on several…

Condensed Matter · Physics 2009-10-28 Naama Brenner , Shmuel Fishman

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

Quasinormal modes characterise the transient response of static optical cavities. Here, we introduce the notion of a Floquet quasinormal mode to describe transient responses in photonic time crystals. Contrasting their static counterparts,…

Optics · Physics 2025-10-15 Calvin M. Hooper , Ian R. Hooper , Simon A. R. Horsley

Open optical or plasmonic resonators are placed on and connected through surfaces or via waveguides, forming complex lightguiding nanostructures, e.g. for integrated photonic quantum devices. We derive general boundary conditions for…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Robert Meiners Fuchs , Marten Richter