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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

Dielectric optical micro-resonators and micro-lasers represent a realization of a wave-chaotic system, where the lack of symmetry in the resonator shape leads to non-integrable ray dynamics. Modes of such resonators display a rich spatial…

Nanobem is a Matlab toolbox for the solution of Maxwell's equations for nanophotonic systems and the computation of resonance modes, sometimes also referred to as quasinormal modes or resonance states. It is based on a Galerkin scheme for…

Computational Physics · Physics 2022-05-18 Ulrich Hohenester , Nikita Reichelt , Gerhard Unger

We introduce a theoretical and computational method to design resonant objects, such as nanoantennas or meta-atoms, exhibiting tailored multipolar responses. In contrast with common approaches that rely on a multipolar analysis of the…

Optics · Physics 2020-01-29 Tong Wu , Alexandre Baron , Philippe Lalanne , Kevin Vynck

The specificity of modal-expansion formalisms is their capabilities to model the physical properties in the natural resonance-state basis of the system in question, leading to a transparent interpretation of the numerical results. In…

Optics · Physics 2018-09-06 Wei Yan , Rémi Faggiani , Philippe Lalanne

We study the relation between quasi-normal modes (QNMs) and transmission resonances (TRs) in one-dimensional (1D) disordered systems. We show for the first time that while each maximum in the transmission coefficient is always related to a…

Disordered Systems and Neural Networks · Physics 2014-07-21 Yury Bliokh , Valentin Freilikher , Franco Nori

Mechanical nonlinearities dominate the motion of nanoresonators already at relatively small oscillation amplitudes. Although single and coupled two-degrees-of-freedom models have been used to account for experimentally observed nonlinear…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Ata Keşkekler , Vincent Bos , Alejandro M. Aragón , Peter G. Steeneken , Farbod Alijani

We introduce a second quantization scheme based on quasinormal modes, which are the dissipative modes of leaky optical cavities and plasmonic resonators with complex eigenfrequencies. The theory enables the construction of…

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

Resonance expansions are an intuitive approach to capture the interaction of an optical resonator with light. Here, we present a quasinormal mode expansion approach for quadratic observables exploiting the rigorous Riesz projection method.…

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

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

The review presents an analysis and generalization of classical and most modern approaches to the description and development of operation of open optical nanoresonators, that is, resonators all sizes of which are smaller than the resonant…

Optics · Physics 2023-03-17 Vasily V. Klimov

The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shigefumi Naka , Haruki Toyoda

The spectral numerical mode-matching (SNMM) method is developed to simulate the 3D layered multi-region structures. The SNMM method is a semi-analytical solver having the properties of dimensionality reduction to reduce computational costs;…

Optics · Physics 2019-07-10 Jie Liu , Na Liu , Qing Huo Liu

Modal analysis based on the quasi-normal modes (QNM), also called resonant states, has emerged as a promising way for modeling the resonant interaction of light with open optical cavities. However, the fields associated with QNM in open…

Optics · Physics 2018-08-21 Rémi Colom , Ross McPhedran , Brian Stout , Nicolas Bonod

We explore the properties of bilinear products for black-hole quasinormal modes (QNMs) formulated on hyperboloidal foliations. We find that, although QNM solutions are smooth and finite on future-directed hyperboloids, the integrand of the…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Marica Minucci , Rodrigo Panosso Macedo , Christiana Pantelidou , Laura Sberna

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

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

We compute scalar quasinormal mode (QNM) frequencies in rotating black hole solutions of the most general class of higher-derivative gravity theories, to quartic order in the curvature, that reduce to General Relativity for weak fields and…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Pablo A. Cano , Kwinten Fransen , Thomas Hertog
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