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We consider the reflection-transmission problem in a waveguide with obstacle. At certain frequencies, for some incident waves, intensity is perfectly transmitted and the reflected field decays exponentially at infinity. In this work, we…

Numerical Analysis · Mathematics 2018-01-29 Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Vincent Pagneux

We report a theoretical study showing that rogue waves can emerge in whispering gallery mode resonators as the result of the chaotic interplay between Kerr nonlinearity and anomalous group-velocity dispersion. The nonlinear dynamics of the…

Inefficient coupling between dielectric guided mode and plasmon mode has been overlooked in the past. The mechanism in it is essentially different from the conventional coupling between dielectric modes. Based on qualitative theoretical…

Optics · Physics 2015-06-17 Chen-Guang Xu , Xiao Xiong , Chang-Ling Zou , Xi-Feng Ren , Guang-Can Guo

We analyze the single-photon transport in a single-mode waveguide coupled to a whispering-gallery-type resonator interacting with a two-level atom. The single-photon transport properties such as the transmission and reflection amplitudes,…

Quantum Physics · Physics 2009-01-27 Jung-Tsung Shen , Shanhui Fan

An analytic solution for an uniaxial spherical resonator is presented using the method of Debye potentials. This serves as a starting point for the calculation of whispering gallery modes (WGM) in such a resonator. Suitable approximations…

Optics · Physics 2012-05-16 Marco Ornigotti , Andrea Aiello

A general model is presented for coupling of high-$Q$ whispering-gallery modes in optical microsphere resonators with coupler devices possessing discrete and continuous spectrum of propagating modes. By contrast to conventional high-Q…

Optics · Physics 2009-10-31 Michael L. Gorodetsky , Vladimir S. Ilchenko

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

The analysis of wave propagation in linear, passive media is usually done by considering a single real frequency (the monochromatic limit) and also often a single plane wave component (plane wave limit), separately. For gain media, we…

Optics · Physics 2015-04-20 Hans Olaf Hågenvik , Markus E. Malema , Johannes Skaar

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

We show that low-lying eigenmodes of the Laplace operator are suitable to represent properties of the underlying SU(2) lattice configurations. We study this for the case of finite temperature background fields, yet in the confinement phase.…

High Energy Physics - Lattice · Physics 2009-11-11 Falk Bruckmann , Ernst-Michael Ilgenfritz

A complete integrated table-top facility for the study of high-$Q$ Whispering Gallery Modes in solid and liquid micro-cavities is described, with emphasis on the in situ fabrication of reliable tapered fibers of sub-micron waist sizes for…

Instrumentation and Detectors · Physics 2020-04-23 Meenakshi Gaira , C. S. Unnikrishnan

We have produced high transmission sub-wavelength tapered optical fibers for the purpose of whispering gallery mode coupling in fused silica microcavities at 780 nm. A detailed analysis of the fiber transmittance evolution during tapering…

Quantum Physics · Physics 2008-02-21 Fedja Orucevic , Valérie Lefèvre-Seguin , Jean Hare

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

Polygon and star modes enable unidirectional emission and single-frequency lasing in whispering gallery microcavities. To understand their properties and facilitate design, we have adopted both two-dimensional and three-dimensional…

Optics · Physics 2023-05-10 Saeed Farajollahi , Zhiwei Fang , Jintian Lin , Shahin Honari , Ya Cheng , Tao Lu

We investigated the whispering gallery modes of cavities with a hexagonal cross-section. We found two different modes, namely perturbed and quasi-WGMs, of which the former exhibits the higher Q when the corner radius is large. We studied…

Optics · Physics 2013-04-15 Hiroshi Kudo , Ryo Suzuki , Takasumi Tanabe

Sloshing eigenvalues and eigenfunctions are studied for vertical cylinders of constant, finite depth occupied by a two-layer fluid. Two families of eigenfrequencies are obtained in the form expressing them explicitly via the eigenvalues of…

Mathematical Physics · Physics 2023-10-05 Nikolay Kuznetsov , Oleg Motygin

Slow waves and tunneling waves can meet at the cutoff wavelengths and/or transmission band edges of optical and quantum mechanical waveguides. The experimental investigation of this phenomenon, previously performed using various optical…

Optics · Physics 2020-02-19 Yong Yang , M. Sumetsky

Miniature semiconductor lasers have attracted a large amount of interest owing to their potential as highly integrated components in photonic circuits or in sensors. Particularly, microdisk lasers exploiting whispering gallery modes have…

Applied Physics · Physics 2018-12-11 Wanwoo Noh , Matthieu Dupré , Abdoulaye Ndao , Ashok Kodigala , Boubacar Kanté

We consider the eigenproblem for the Laplacian inside a three-dimensional revolutional domain diffeomorphic to a solid torus and construct asymptotic eigenvalues and eigenfunctions (quasimodes) of the whispering gallery-type. The whispering…

Mathematical Physics · Physics 2023-12-13 Sergey Sergeev , Dmitri Minenkov

We study the reflection and transmission properties of a system comprising two whispering-gallery mode resonators, each containing a Zeeman-split quantum dot and side-coupled to an optical fiber. Our results demonstrate that unidirectional…

Quantum Physics · Physics 2023-08-21 Gang Li , Ying-Qiao Zhang , Xing-Ri Jin