English
Related papers

Related papers: Quasinormal mode expansion of optical far-field qu…

200 papers

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

Cavity mode theory and analysis of open cavities and plasmonic particles is an essential component of optical resonator physics, offering considerable insight and efficiency for connecting to classical and quantum optical properties such as…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Mohsen Kamandar Dezfouli , Stephen Hughes

We develop a quasi-normal mode theory (QNMT) to calculate a system's scattering $S$ matrix, simultaneously satisfying both energy conservation and reciprocity even for a small truncated set of resonances. It is a practical reduced-order…

Applied Physics · Physics 2021-09-28 Mohammed Benzaouia , John D. Joannopoulos , Steven G. Johnson , Aristeidis Karalis

The study of exact quasi-normal modes [QNMs], and their associated quasi-normal frequencies [QNFs], has had a long and convoluted history - replete with many rediscoveries of previously known results. In this article we shall collect and…

Mathematical Physics · Physics 2011-03-21 Petarpa Boonserm , Matt Visser

We study the quasinormal modes (QNM) for scalar, and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth--order WKB approximation and the improved asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-06-17 L. A. López , Omar Pedraza , Roberto Arceo , V. Ceron

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

The second-quantization of a scalar field in an open cavity is formulated, from first principles, in terms of the quasinormal modes (QNMs), which are the eigensolutions of the evolution equation that decay exponentially in time as energy…

Quantum Physics · Physics 2009-10-31 K. C. Ho , P. T. Leung , Alec Maassen van den Brink , K. Young

The scattering of electromagnetic waves by resonant systems is determined by the excitation of quasinormal modes (QNMs), i.e., the eigenmodes of the system. This Review addresses three fundamental concepts in relation with the…

Quantum Physics · Physics 2022-03-02 C. Sauvan , T. Wu , R. Zarouf , E. A. Muljarov , P. Lalanne

Modal expansion is an attractive technique for solving electromagnetic scattering problems. With the one set of resonator modes, calculated once and for all, any configuration of near-field or far-field sources can be obtained almost…

Optics · Physics 2020-09-08 Parry Y. Chen , Yonatan Sivan , Egor A. Muljarov

We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically anti-de Sitter black holes, with very general boundary conditions at infinity. We argue that for a time slicing regular at the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Claude M. Warnick

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

Oscillations of black hole spacetimes exhibit divergent behavior toward the bifurcation sphere and spatial infinity. This divergence can be understood as a consequence of the geometry in these spacetime regions. In contrast, black-hole…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Rodrigo Panosso Macedo , Anil Zenginoglu

The quasinormal modes (QNM's) of gravitational systems modeled by the Klein-Gordon equation with effective potentials are studied in analogy to the QNM's of optical cavities. Conditions are given for the QNM's to form a complete set, i.e.,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 E. S. C. Ching , P. T. Leung , W. M. Suen , K. Young

We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extremal Reissner-Nordstr\"om black holes. We show that QNMs can be…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Dejan Gajic , Claude Warnick

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

We present a bi-orthogonal approach for modeling the response of localized electromagnetic resonators using quasinormal modes, which represent the natural, dissipative eigenmodes of the system with complex frequencies. For many problems of…

In this thesis, the behavior of the electromagnetic field is studied, at optical frequencies, in the one-dimensional photonic crystals, using the theory of "Quasi-Normal Modes (QNM). The following thesis is inspired by the QNM theory,…

Optics · Physics 2011-06-02 Alessandro Settimi

It was reported that the optical field fluctuations in self-defocusing media can be described by sound waves propagating in a two-dimensional photon-fluid which is controlled by the driving laser beam. The photon-fluid can be regarded as…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Hang Liu , Hong Guo

We present a new method for determining the frequencies and wavefunctions of black hole quasinormal modes (QNMs) and Regge poles. The key idea is a novel ansatz for the wavefunction, which relates the high-$l$ wavefunctions to null…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Sam R. Dolan , Adrian C. Ottewill

Quasinormal modes are characteristic oscillatory modes that control the relaxation of a perturbed physical system back to its equilibrium state. In this work, we calculate QNM frequencies and angular eigenvalues of Kerr--de Sitter black…

General Relativity and Quantum Cosmology · Physics 2019-05-10 Fábio Novaes , Cássio Marinho , Máté Lencsés , Marc Casals