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We consider a system governed by the wave equation with index of refraction $n(x)$, taken to be variable within a bounded region $\Omega\subset \mathbb R^d$, and constant in $\mathbb R^d \setminus \Omega$. The solution of the time-dependent…

Optimization and Control · Mathematics 2014-05-21 Braxton Osting , Michael I. Weinstein

A waveguide coincides with a strip having two narrows of diameter $\epsilon$. Electron motion is described by the Helmholtz equation with Dirichlet boundary condition. The part of waveguide between the narrows plays the role of resonator…

Mathematical Physics · Physics 2011-05-25 Lev Baskin , Muaed Kabardov , Pekka Neittaanmäki , Boris Plamenevskii , Oleg Sarafanov

We study the secondary time-averaged flow (streaming) generated by an oscillating cylinder immersed within a fluid, under high amplitude forcing so that inertial effects are significant. This streaming is decomposed into a viscous boundary…

The correspondence of secondary spanwise structures and pressure gradient is numerically evaluated for a foil, performing heaving and pitching motion, at a range of phase offsets (90$^\circ$ $\le \phi \le$ 270$^\circ$) and reduced frequency…

Fluid Dynamics · Physics 2023-07-13 Suyash Verma , Muhammad Saif Ullah Khalid , Arman Hemmati

In this paper, the acoustic emission accompanying the formation of brittle cracks of finite length is investigated theoretically using the approach based on the application of Huygens' principle for elastic solids. In the framework of this…

Applied Physics · Physics 2018-04-18 Victor Krylov

Methods on reducing resonant frequencies and electrical sizes of resonators are reported in this paper. Theoreti-cal and numerical analysis has been used and the results for the broadside-coupled resonators from both studies exhibit good…

Optics · Physics 2008-10-15 T. Hao , J. Zhu , D. J. Edwards , C. J. Stevens

Misner space, also known as the Lorentzian orbifold $R^{1,1}/boost$, is the simplest tree-level solution of string theory with a cosmological singularity. We compute tree-level scattering amplitudes involving twisted states, using operator…

High Energy Physics - Theory · Physics 2014-11-18 M. Berkooz , B. Durin , B. Pioline , D. Reichmann

Using the unique capabilities of the Variable Density Turbulence Tunnel at the Max Planck Institute for Dynamics and Self-Organization, G\"{o}ttingen, we report experimental result on classical grid turbulence that uncover fine, yet…

Fluid Dynamics · Physics 2017-10-04 Michael Sinhuber , Gregory P. Bewley , Eberhard Bodenschatz

This paper presents an application of time-frequency methods to characterize the dispersion of acoustic waves travelling in a one-dimensional periodic or disordered lattice made up of Helmholtz resonators connected to a cylindrical tube.…

Classical Physics · Physics 2009-07-10 Olivier Richoux , Claude Depollier , Jean Hardy

The flow in a cylinder driven by time harmonic oscillations of the rotation rate, called longitudinal librations, is investigated. Using a theoretical approach and axisymmetric numerical simulations, we study two distinct phenomena…

Fluid Dynamics · Physics 2012-02-21 Alban Sauret , David Cébron , Michael Le Bars , Stéphane Le Dizès

An analysis is developed linking the form of the sound field from a circular source to the radial structure of the source, without recourse to far-field or other approximations. It is found that the information radiated into the field is…

Mathematical Physics · Physics 2015-05-20 Michael Carley

An interesting characteristic of magnetospheric chorus is the presence of a frequency gap at $\omega \simeq 0.5\Omega_e$, where $\Omega_e$ is the electron cyclotron angular frequency. Recent chorus observations sometimes show additional…

Space Physics · Physics 2015-04-22 Xiangrong Fu , Zehua Guo , Chuanfei Dong , S. Peter Gary

We use a guiding center code ORBIT to study the broadening of resonances and the parametric dependence of the resonance frequency broadening width $\Delta\Omega$ on the nonlinear particle trapping frequency $\omega_b$ of wave-particle…

Plasma Physics · Physics 2018-08-01 G. Meng , N. N. Gorelenkov , V. N. Duarte , H. L. Berk , R. B. White , A. Bhattacharjee , X. G. Wang

Very recently, a defect model which depicts the growth tendency of the near-wall peak of the streamwise turbulence intensity has been developed (Chen $\&$ Sreenivasan, J. Fluid Mech. (2021), vol.908, R3). Based on the finiteness of the…

Fluid Dynamics · Physics 2023-03-30 Cheng Cheng , Lin Fu

We study the billiard map corresponding to a periodic Lorentz gas in 2-dimensions in the presence of small holes in the table. We allow holes in the form of open sets away from the scatterers as well as segments on the boundaries of the…

Dynamical Systems · Mathematics 2015-05-13 Mark Demers , Paul Wright , Lai-Sang Young

A number of time-periodic flows have been found to have a property called RZIF: when a linear stability analysis is carried out about the temporal mean (rather than the usual steady state), an eigenvalue is obtained whose Real part is Zero…

Fluid Dynamics · Physics 2019-05-07 Yacine Bengana , Laurette S. Tuckerman

A large eddy simulation (LES) with an extended Smagorinsky model has been carried to investigate numerically the fully developed turbulent flow of a shear thinning fluid (n=0.75) in a stationary pipe at a simulation's Reynolds number equals…

Fluid Dynamics · Physics 2020-06-01 Mohamed Abdi , Meryem Ould-Rouiss , Abdelkader Noureddine

In multi-qubit superconducting systems utilizing flip-chip technology, achieving high accuracy in resonator frequencies is of paramount importance, particularly when multiple resonators share a common Purcell filter with restricted…

Quantum Physics · Physics 2023-12-12 Yuan Li , Tianhui Wang , Jingjing Hu , Dengfeng Li , Shuoming An

We address the Reynolds-number dependence of the turbulent skin-friction drag reduction induced by streamwise-travelling waves of spanwise wall oscillations. The study relies on direct numerical simulations of drag-reduced flows in a plane…

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

Atomic Physics · Physics 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor
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