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It is well-known that classical optical cavities can exhibit localized phenomena associated to scattering resonances, leading to numerical instabilities in approximating the solution. This result can be established via the ``quasimodes to…

Analysis of PDEs · Mathematics 2022-12-07 Camille Carvalho , Zoïs Moitier

The dispersion of electrons and phonons near the K point of bilayer graphene was investigated in a resonant Raman study using different laser excitation energies in the near infrared and visible range. The electronic structure was analyzed…

Mesoscale and Nanoscale Physics · Physics 2011-04-08 D. L. Mafra , L. M. Malard , S. K. Doorn , H. Htoon , J. Nilsson , A. H. Castro Neto , M. A. Pimenta

We consider an inner problem for whispering gallery high-frequency asymptotic mode's scattering by a boundary inflection. The related boundary-value problem for a Schr\"{o}dinger equation on a half-line with a potential linear in both space…

Analysis of PDEs · Mathematics 2021-03-09 V. P. Smyshlyaev , I. V. Kamotski

We propose a boundary element method for problems of time-harmonic acoustic scattering by multiple obstacles in two dimensions, at least one of which is a convex polygon. By combining a Hybrid Numerical Asymptotic (HNA) approximation space…

Numerical Analysis · Mathematics 2020-02-27 Andrew Gibbs , Simon Chandler-Wilde , Stephen Langdon , Andrea Moiola

Spontaneous Raman scattering (SpRS) is a weak non-linear effect, particularly relevant to classical-quantum coexistence transmission and sensing applications. In classical transmission, the relevant Raman effect is stimulated Raman…

In 2D acoustic and elastodynamic problems the spatial variability of a constitutive parameter such as the mass density makes it difficult to employ boundary integral and domain integral techniques to solve the forward and inverse wave…

Geophysics · Physics 2019-03-25 Armand Wirgin

We analyze the band topology of acoustic phonons in 2D materials by considering the interplay of spatial and internal symmetries with additional constraints that arise from the physical context. These supplemental constraints trace back to…

Mesoscale and Nanoscale Physics · Physics 2022-02-14 Gunnar F. Lange , Adrien Bouhon , Bartomeu Monserrat , Robert-Jan Slager

In this work, using the scattering matrix method, we have investigated the transmission coefficients and the thermal conductivity in a double-bend waveguide structure. The transmission coefficients show strong resonances due to the…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 Yi Ming , Zhexian Wang , Zejun Ding

We have carried out temperature-dependent x-ray diffraction and Raman scattering experiments on powder $Cs_3Bi_2Br_9$. Trigonal to monoclinic structural transition at around 95 K is discussed and shown to be driven by the softening of the…

The multiple scattering model of a quantum particle in a random Lorentz gas consisting of fixed point scatterers is considered in arbitrary dimension. An efficient method is developed to numerically compute the map of the density of…

Quantum Physics · Physics 2022-05-11 David Gaspard , Jean-Marc Sparenberg

In an isotopically disordered harmonic chain, phonon transmission attenuates exponentially with distance because of multiple scattering by the isotopic defects. We propose a simple method, which is based on the static structure factor, for…

Disordered Systems and Neural Networks · Physics 2025-11-11 Zhun-Yong Ong

Prior experimental studies showed that nanowires are promising structures for improving the thermoelectric performance of practical thermoelectric materials due to the strongly induced phonon-boundary scattering. However, few studies…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Lei Ma , Riguo Mei , Mengmeng Liu , Xuxin Zhao , Qixing Wu , Hongyuan Sun

Graphene sheets encapsulated between hexagonal Boron Nitride (hBN) slabs display superb electronic properties due to very limited scattering from extrinsic disorder sources such as Coulomb impurities and corrugations. Such samples are…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 Alessandro Principi , Matteo Carrega , Mark Lundeberg , Achim Woessner , Frank H. L. Koppens , Giovanni Vignale , Marco Polini

Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what appears to be the first application of the boundary element method (BEM) where each BEM basis…

Numerical Analysis · Mathematics 2024-04-23 António M. Caetano , Simon N. Chandler-Wilde , Andrew Gibbs , David P. Hewett , Andrea Moiola

Linear theory for phonon scattering by discrete breathers in the discrete nonlinear Schroedinger equation using the transfer matrix approach is presented. Transmission and reflection coefficients are obtained as a function of the wave…

solv-int · Physics 2007-05-23 S. Lee , Julian J. -L. Ting , S. Kim

A major achievement of the past decade has been the realization of macroscopic quantum systems by exploiting interactions between optical cavities and mechanical resonators. In these systems, phonons are coherently annihilated or created in…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 R. De Alba , F. Massel , I. R. Storch , T. S. Abhilash , A. Hui , P. L. McEuen , H. G. Craighead , J. M. Parpia

Contemporary high-resolution sonar systems use broadband pulses and long arrays to achieve high resolution. It is important to understand effects that high-resolution sonar systems might have on quantitative measures of the scattered field…

Computational Physics · Physics 2021-06-11 Derek R. Olson , Anthony P. Lyons

Recent experiments have shown surprisingly large thermal time constants in suspended graphene ranging from 10 to 100 ns in drums with a diameter ranging from 2 to 7 microns. The large time constants and their scaling with diameter points…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Robin J. Dolleman , Yaroslav M. Blanter , Herre S. J. van der Zant , Peter G. Steeneken , Gerard J. Verbiest

Phonon chirality has attracted intensive attention since it breaks the traditional cognition that phonons are linear propagating bosons. This new quasiparticle property has been extensively studied theoretically and experimentally. However,…

Materials Science · Physics 2021-08-17 Qingan Cai , Olle Hellman , Bin Wei , Qiyang Sun , Ayman H. Said , Thomas Gog , Barry Winn , Chen Li

A general approach for the calculation of the incoherent intensity scattered by a random medium with rough boundaries has been developed using a Green function formalism. The random medium consists of spherical particles whose physical…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc