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Chaotic whispering-gallery modes have significance both for optical applications and for our understanding of the interplay between wave phenomena and the classical ray limit in the presence of chaotic dynamics and openness. In strongly…

Optics · Physics 2019-12-25 Kahli Burke , Jens U. Nöckel

We study experimentally the propagation of internal waves in two different three-dimensional (3D) geometries, with a special emphasis on the refractive focusing due to the 3D reflection of obliquely incident internal waves on a slope. Both…

Fluid Dynamics · Physics 2021-02-10 G. Pillet , E. V. Ermanyuk , L. R. M. Maas , I. N. Sibgatullin , T. Dauxois

Complex scattering potentials can admit scattering states that behave exactly like a zero-width resonance. Their energy is what mathematicians call a spectral singularity. This phenomenon admits optical realizations in the form of lasing at…

Quantum Physics · Physics 2014-05-20 Ali Mostafazadeh , Mustafa Sarisaman

We study the propagation in three dimensions of internal waves using ray tracing methods and traditional dynamical systems theory. The wave propagation on a cone that generalizes the Saint Andrew's cross justifies the introduction of an…

Fluid Dynamics · Physics 2021-02-10 Grimaud Pillet , Leo Maas , Thierry Dauxois

Optical Whispering Gallery Modes (WGMs) derive their name from a famous acoustic phenomenon of guiding a wave by a curved boundary observed nearly a century ago. This phenomenon has a rather general nature, equally applicable to sound and…

Designing high-finesse resonant cavities for electronic waves faces challenges due to short electron coherence lengths in solids. Previous approaches, e.g. the seminal nanometer-sized quantum corrals, depend on careful positioning of…

Microcavities supporting Whispering-gallery modes (WGMs) are of great significance for on-chip optical information processing, which is frequently analyzed using ray dynamics that conventionally involves straight light trajectories in flat…

The boundary element method is applied to investigate the optical forces when whispering gallery modes (WGMs) are excited by a total internally reflected wave. Such evanescent wave is particularly effective in exciting the high-$Q$ WGM,…

Optics · Physics 2009-01-06 J. J. Xiao , J. Ng , Z. F. Lin , C. T. Chan

One of the most fascinating topics in current quantum physics are hybridised systems, in which different quantum resonators are strongly coupled. Prominent examples are circular resonators with high quality factors that allow the coupling…

Internal gravity waves play a primary role in geophysical fluids: they contribute significantly to mixing in the ocean and they redistribute energy and momentum in the middle atmosphere. Until recently, most studies were focused on plane…

Fluid Dynamics · Physics 2021-02-10 Thierry Dauxois , Sylvain Joubaud , Philippe Odier , Antoine Venaille

A surface acoustic wave (SAW) creates its own high-Q ultra-small volume whispering gallery modes (WGMs), different from usual bulk acoustic WGMs, in an optical dielectric WGM resonator. We show that it is possible to realize an externally…

Optics · Physics 2015-05-13 A. B. Matsko , A. A. Savchenkov , V. S. Ilchenko , D. Seidel , L. Maleki

In the present paper, we combine numerical and experimental approaches to study the dynamics of stable and unstable internal wave attractors. The problem is considered in a classic trapezoidal setup filled with a uniformly stratified fluid.…

Fluid Dynamics · Physics 2021-02-10 Christophe Brouzet , Ilias Sibgatullin , H Scolan , E. V. Ermanyuk , Thierry Dauxois

We present a laboratory study on the instability of internal wave attractors in a trapezoidal fluid domain filled with uniformly stratified fluid. Energy is injected into the system via standing-wave-type motion of a vertical wall.…

Pattern Formation and Solitons · Physics 2015-06-15 Hélène Scolan , E. V. Ermanyuk , Thierry Dauxois

We demonstrate that the surface second-harmonic generation can lead to the formation of nonlinear plasmonic whispering-gallery modes (WGMs) in microcavities made of metallic nanowires. Since these WGMs are excited by induced surface…

Optics · Physics 2013-11-14 Claudiu G. Biris , Nicolae C. Panoiu

When confined in circular cavities, graphene relativistic charge carriers occupy whispering gallery modes (WGM) in analogy to classical acoustic and optical fields. The rich geometrical patterns of the WGM decorating the local density of…

We construct a specific family of eigenfunctions for a Laplace operator with coefficients having a jump across an interface. These eigenfunctions have an exponential concentration arbitrarily close to the interface, and therefore could be…

Analysis of PDEs · Mathematics 2023-02-13 Spyridon Filippas

The fundamentals of the whispering gallery mode (WGM) resonators are well established in the literature, with several successful proof-of-concept experiments. One remarkable benefit of this technology is the room-temperature operation. This…

Instrumentation and Methods for Astrophysics · Physics 2020-02-04 Javier De Miguel-Hernández , Roger J. Hoyland

Optical energy flow inside a dielectric microsphere exposed to an optical wave is usually codirected with its wave vector. At the same time, if the optical field in a microparticle is in resonance with a high-quality spatial eigenmode,…

Optics · Physics 2022-04-20 Yury E. Geints , Igor V. Minin , Oleg V. Minin

Whispering gallery mode (WGM) microcavities strongly enhance nonlinear optical processes like optical frequency comb, Raman scattering and optomechanics, which nowadays enable cutting-edge applications in microwave synthesis, optical…

Optics · Physics 2019-08-17 Yaming Feng , Yuanlin Zheng , Fangxing Zhang , Jianfan Yang , Tian Qin , Wenjie Wan

Whispering gallery modes [WGM] are resonant modes displaying special features: They concentrate along the boundary of the optical cavity at high polar frequencies and they are associated with complex scattering resonances very close to the…

Spectral Theory · Mathematics 2022-07-27 Stéphane Balac , Monique Dauge , Zoïs Moitier
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