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We explore the phenomenon of cavitation in higher-dimensional elasticity, defining it as the mapping of a punctured ball onto a non-degenerate ring domain. Crucially, for the class of locally quasiconformal mappings (or more general…

Complex Variables · Mathematics 2025-12-23 Anatoly Golberg , Vladimir Gutlyanskiĭ , Vladimir Ryazanov , Toshiyuki Sugawa

Deformed square resonators with the flat sides replaced by circular sides are proposed and demonstrated to enhance mode Q factors and adjust transverse mode intervals using the regular ray dynamic analysis and numerical simulations.…

Optics · Physics 2017-02-01 Hai-Zhong Weng , Yong-Zhen Huang , Yue-De Yang , Xiu-Wen Ma , Jin-Long Xiao , Yun Du

The reliability of any day-to-day material is critically dictated by its properties. One factor which governs the behaviour of a material, under a given condition, is the microstructure. Despite the absence of any phase transformation, a…

Materials Science · Physics 2019-06-26 P G Kubendran Amos

It is shown that when a circular resonator is deformed in a nonintegrable way, a symmetry breaking of escaping rays occurs which can dramatically modulate the outgoing wave even for small perturbations. The underlying mechanism does not…

Chaotic Dynamics · Physics 2007-05-23 Stephen C Creagh

In this paper we study the influence of an electric field on a two dimen-sional waveguide. We show that bound states that occur under a geometrical deformation of the guide turn into resonances when we apply an electric field of small…

Spectral Theory · Mathematics 2016-06-27 Philippe Briet , Mounira Gharsalli

This paper deals with flow-induced shape transitions of elastic capsules. The state of the art concerning both theory and experiments is briefly reviewed starting with dynamically induced small deformation of initially spherical capsules…

Soft Condensed Matter · Physics 2011-04-25 Reimar Finken , Steffen Kessler , Udo Seifert

The Lugiato-Lefever equation is a cubic nonlinear Schr\"odinger equation, including damping, detuning and driving, which arises as a model in nonlinear optics. We study the existence of stationary waves which are found as solutions of a…

Analysis of PDEs · Mathematics 2017-08-02 Cyril Godey

Some numerical calculations are presented on the dependence of the average mode count and average mode density of electromagnetic cavities on their specific geometric design, based on the generalized Weyl law. The analysis focuses on a…

Classical Physics · Physics 2014-12-16 L. R. Arnaut

We investigate nondegenerate parametric oscillations in a multimode superconducting microwave resonator that is terminated by a SQUID. The parametric effect is achieved by modulating magnetic flux through the SQUID at a frequency close to…

Cavity optoelectromechanical regenerative amplification is demonstrated. An optical cavity enhances mechanical transduction, allowing sensitive measurement even for heavy oscillators. A 27.3 MHz mechanical mode of a microtoroid was…

Instrumentation and Detectors · Physics 2012-07-02 Michael A. Taylor , Alex Szorkovszky , Joachim Knittel , Kwan H. Lee , Terry G. McRae , Warwick P. Bowen

We study the convective patterns that arise in a nearly semi-cylindrical cavity fed in with hot fluid at the upper boundary, bounded by a cold, porous semi-circular boundary at the bottom, and infinitely extended in the third direction.…

Fluid Dynamics · Physics 2020-06-26 Abhishek Kumar , Alban Pothérat

We demonstrate stable optical microcavities by counteracting the phase evolution of the cavity modes using an amorphous silicon metasurface as one of the two cavity end mirrors. Careful design allows us to limit the metasurface scattering…

We have developed a model of the nonlinear polariton dynamics in realistic 3D non-planar microcavity wires in the driven-dissipative regime. We find that the typical microcavity optical bistability evolves into multistability upon variation…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 G. Slavcheva , M. V. Koleva , A. Pimenov

In the context of engineered quantum systems, there is a demand for superconducting tunable devices able to operate with high Q-factors at power levels equivalent to only a few photons. In this work, we developed a 3D microwave reentrant…

Instrumentation and Detectors · Physics 2017-02-15 N. C. Carvalho , Y. Fan , M. E. Tobar

This work explores the dynamic properties of test particles surrounding a distorted, deformed compact object. The astrophysical motivation was to choose such background, which could constitute a more reasonable model of a real situation…

High Energy Astrophysical Phenomena · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova

We show that two-dimensional systems of deformable particles undergo a continuous liquid-hexatic transition upon compression or cooling, but no hexatic-solid transition-even at zero temperature and high density. Numerical simulations reveal…

Soft Condensed Matter · Physics 2025-11-20 Jatin Kumar , Wu Zeng , Anshuman Pasupalak , Massimo Pica Ciamarra

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

Optimization and Control · Mathematics 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

We present a scheme for locking optical cavities with arbitrary detuning many line widths from resonance using an electro-optic modulator that can provide arbitrary ratios of amplitude to phase modulation. We demonstrate our scheme on a…

Optics · Physics 2023-07-19 William Yam , Emily Davis , Sarah Ackley , Matthew Evans , Nergis Mavalvala

In the present paper, we reexamine the moduli stabilization problem of the Type IIB orientifolds with one complex structure modulus in a modified two-step procedure. The full superpotential including both the 3-form fluxes and the…

High Energy Physics - Theory · Physics 2008-11-26 Huan-Xiong Yang

{We study a model of small-amplitude traveling waves arising in a supercritical Hopf-bifurcation, that are coupled to a slowly varying, real field. The field is advected by the waves and, in turn, affects their stability via a coupling to…

Pattern Formation and Solitons · Physics 2009-10-31 Alex Roxin , Hermann Riecke
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