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Optical microcavities support Whispering Gallery Modes (WGMs) with a very high quality factor Q. However, WGMs typically display a far-field isotropic emission profile and modifying this far-field profile without spoiling the associated…

This paper is concerned with the Boundary Element simulation of elastic domains that contain thin inclusions that have elastic material properties, which are different to the domain. With thin inclusions we mean inclusions with extreme…

Numerical Analysis · Mathematics 2025-05-27 Vincenzo Mallardo , Christian Dunser , Gernot Beer

Whispering gallery mode microdisk cavities fabricated by direct laser writing are studied using dark-field imaging and spectroscopy in the visible spectral range. {Dark-field imaging allows us to directly visualize the spatial intensity…

Applications in quantum information processing and photon detectors are stimulating a race to produce the highest possible quality factor on-chip superconducting microwave resonators. We have tested the surface-dominated loss hypothesis by…

Superconductivity · Physics 2012-06-06 K. Geerlings , S. Shankar , E. Edwards , L. Frunzio , R. J. Schoelkopf , M. H. Devoret

In this paper we report on the measurement and modelling of enhanced optical refractometric sensors based on whispering-gallery-modes. The devices under test are optical microresonators made of silicon nitride on silicon oxide. In our…

The realization and characterization of a high quality factor resonator composed of two hollow-dielectric cylinders with its pseudo-TM$_{030}$ mode resonating at 10.9 GHz frequency is discussed. The quality factor was measured at the…

This paper presents an asymptotically compatible error bound for the finite element method (FEM) applied to a nonlocal diffusion model. The analysis covers two scenarios: meshes with and without shape regularity. For shape-regular meshes,…

Numerical Analysis · Mathematics 2025-06-06 Yanzun Meng , Zuoqiang Shi

We present the characterization of 8-12 GHz whispering gallery mode resonators machined in high-quality sapphire crystals elaborated with different growth techniques. These microwave resonators are intended to constitute the reference…

Instrumentation and Detectors · Physics 2016-01-20 Vincent Giordano , Christophe Fluhr , Serge Grop , Benoit Dubois

This paper reports an experimental demonstration of partial displacement noise free laser interferometry in the gravitational wave detection band. The used detuned Fabry-Perot cavity allows the isolation of the mimicked gravitational wave…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Antonio Perreca , Simon Chelkowski , Stefan Hild , Andreas Freise

The semicylindrical microresonator with relatively simple excitation with a plane wave is studied. The resonator is formed on the base of the dielectric/metal/dielectric structure, where the wave energy penetrates into resonator through a…

Ultrahigh repetition rate lasers will become vital light sources for many future technologies; however, their realization is challenging because the cavity size must be minimized. Whispering-gallery-mode (WGM) microresonators are attractive…

In this paper, we examine the effectiveness of classic multiscale finite element method (MsFEM) (Hou and Wu, 1997; Hou et al., 1999) for mixed Dirichlet-Neumann, Robin and hemivariational inequality boundary problems. Constructing so-called…

Numerical Analysis · Mathematics 2020-02-06 Changqing Ye , Hao Dong , Junzhi Cui

Particulate materials include powders, emulsions, composites, and many others. This is why measuring these has become important for both industry and scientific applications. For industrial applications, the greatest need is to measure…

Statistical Mechanics · Physics 2024-07-10 Paulo S. Piva , Kevish K. Napal , Art L. Gower

We report an investigation of laser frequency stabilization using a whispering gallery mode resonator that is temperature stabilized by a dual-mode technique. This dual-mode technique has yielded mode volume temperature instabilities at the…

Optics · Physics 2013-01-01 Lukas M. Baumgartel , Robert J. Thompson , Nan Yu

Microlaser with multiple lasing bands is critical in various applications, such as full-colour display, optical communications and computing. Here, we propose a simple and efficient method for homogeneously doping rare earth elements into a…

Optics · Physics 2021-07-20 Bo Jiang , Song Zhu , Linhao Ren , Lei Shi , Xinliang Zhang

The resonance frequency of an optical whispering gallery mode (WGM) microcavity is extremely important in its various applications. Many efforts have been made to fine tune this parameter. Here, we report the design and implementation of a…

Instrumentation and Detectors · Physics 2019-07-24 Xu-Sheng Xu , Hao Zhang , Min Wang , Dong Ruan , Gui-Lu Long

Quasi-transverse-electric and -transverse-magnetic fundamental whispering gallery modes in a polymer-coated silica microtoroid are theoretically investigated and demonstrated to possess very high-quality factors. The existence of a…

Quantum Physics · Physics 2015-05-20 Yun-Feng Xiao , Chang-Ling Zou , Peng Xue , Lixin Xiao , Yan Li , Chun-Hua Dong , Zheng-Fu Han , Qihuang Gong

Numerical simulation of ultrasonic wave propagation provides an efficient tool for crack identification in structures, while it requires a high resolution and expensive time calculation cost in both time integration and spatial…

Computational Engineering, Finance, and Science · Computer Science 2017-12-06 Shuaifang Zhang , Dongdong He , Dongsheng Li , Zhifeng Zhang , Yu Liu , Wei Shen

A finite element methodology for large classes of variational boundary value problems is defined which involves discretizing two linear operators: (1) the differential operator defining the spatial boundary value problem; and (2) a Riesz…

Numerical Analysis · Mathematics 2017-12-08 Brendan Keith , Socratis Petrides , Federico Fuentes , Leszek Demkowicz

In the development of high efficiency and high gradient RF-accelerators, RF waveguides and cavities have been designed with Photonic Band Gap (PBG) and fishnet- metamaterial structures. The designed structures are comprised of a…

Accelerator Physics · Physics 2015-02-10 Sara Robak , Daniel Boyden , Young-Min Shin