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Starting from the general modal solutions for a homogeneous layer of arbitrary material and crystalline symmetry, a matrix formalism is developed to establish the semi analytical expressions of the surface impedance matrices (SIM) for a…

Classical Physics · Physics 2008-11-25 Victor Y. Zhang , Bertrand Dubus , Bernard Collet , Michel Destrade

A numerical method is proposed for solving the two layer shallow water equations with variable bathymetry in one dimension based on high-resolution f-wave-propagation finite volume methods. The method splits the jump in the fluxes and…

Numerical Analysis · Mathematics 2015-06-16 Kyle T. Mandli

Efficient and accurate numerical simulation of 3D acoustic wave propagation in heterogeneous media plays an important role in the success of seismic full waveform inversion (FWI) problem. In this work, we employed the combined scheme and…

Numerical Analysis · Computer Science 2019-05-13 Keran Li , Wenyuan Liao

We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media. This problem is of relevance, e.g., for the simulation of guided ultrasound…

Numerical Analysis · Mathematics 2025-06-18 Hauke Gravenkamp , Bor Plestenjak , Daniel A. Kiefer , Elias Jarlebring

We employ the generic three-wave system, with the $\chi ^{(2)}$ interaction between two components of the fundamental-frequency (FF) wave and second-harmonic (SH) one, to consider collisions of truncated Airy waves (TAWs) and three-wave…

Optics · Physics 2017-08-02 Thawatchai Mayteevarunyoo , Boris A. Malomed

A finite element method is presented to compute time harmonic microwave fields in three dimensional configurations. Nodal-based finite elements have been coupled with an absorbing boundary condition to solve open boundary problems. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Vollaire , Laurent Nicolas , Alain Nicolas

In this work, we focus on separable convex optimization problems with linear and box constraints and compute the solution in closed-form as a function of some Lagrange multipliers that can be easily computed in a finite number of…

Information Theory · Computer Science 2014-03-25 Antonio A. D'Amico , Luca Sanguinetti , Daniel P. Palomar

The boundary element method is an efficient algorithm for simulating acoustic propagation through homogeneous objects embedded in free space. The conditioning of the system matrix strongly depends on physical parameters such as density,…

Numerical Analysis · Mathematics 2021-12-07 Elwin van 't Wout , Seyyed R. Haqshenas , Pierre Gélat , Timo Betcke , Nader Saffari

Surface acoustic waves in two-dimensional phononic crystals consisting of a square array of shallow, two to three micron deep cylindrical void inclusions are studied computationally via the finite element method. For the [110] propagation…

Applied Physics · Physics 2019-07-24 Edward Muzar , James A. H. Stotz

How to manipulate acoustic waves through thinner structures is always a challenging problem due to the linear proportional relationship between the structural thickness and the acoustic wavelength. Here, we show the possibility of breaking…

Applied Physics · Physics 2019-04-17 Liu-Ming Hao , Xin-Ye Zou , Bin Liang , Jian-Chun Cheng

An efficient and easy-to-implement method is proposed to regularize integral equations in the 3D boundary element method (BEM). The method takes advantage of an assumed three-noded triangle discretization of the boundary surfaces. The…

Classical Physics · Physics 2009-01-26 Patrick Dangla , Jean-François Semblat , H. Xiao , Nicolas Delépine

The left-right operator splitting method is studied for the efficient calculation of acoustic fields scattered by arbitrary rough surfaces. Here the governing boundary integral is written as a sum of left- and right-going components, and…

Computational Physics · Physics 2017-08-25 Orsola Rath Spivack , Mark Spivack

We design a primal-dual stabilized finite element method for the numerical approximation of a data assimilation problem subject to the acoustic wave equation. For the forward problem, piecewise affine, continuous, finite element functions…

Numerical Analysis · Mathematics 2023-05-10 Erik Burman , Ali Feizmohammadi , Lauri Oksanen

We present an explicit solver of the three-dimensional screened and unscreened Poisson's equation which combines accuracy, computational efficiency and versatility. The solver, based on a mixed plane-wave / interpolating scaling function…

Materials Science · Physics 2013-03-27 Alessandro Cerioni , Luigi Genovese , Alessandro Mirone , Vicente Armando Sole

Enhancement of thermal conductivity via surface electromagnetic waves (SEWs) supported in nanostructures has recently drawn attention as a remedy for issues raised due to the reduction of thermal conductivity in nanoscale confinement. Among…

Applied Physics · Physics 2019-10-03 Mikyung Lim , Jose Ordonez-Miranda , Seung S. Lee , Bong Jae Lee , Sebastian Volz

A new method for numerical solving of boundary problem for ordinary differential equations with slowly varying coefficients which is aimed at better representation of solutions in the regions of their rapid oscillations or exponential…

Computational Physics · Physics 2007-05-23 V. E. Moiseenko , V. V. Pilipenko

We review our new method, which might be the most direct and efficient way for approaching the continuum physics from Hamiltonian lattice gauge theory. It consists of solving the eigenvalue equation with a truncation scheme preserving the…

High Energy Physics - Theory · Physics 2015-06-26 S. H. Guo , Q. Z. Chen , X. Fang , J. Liu , X. Q. Luo , W. Zheng

Surface acoustic waves (SAWs) convey energy at subwavelength depths along surfaces. Using interdigital transducers (IDTs) and opto-acousto-optic transducers (OAOTs), researchers have harnessed coherent SAWs with nanosecond periods and…

In an environment where acoustic privacy or deliberate signal obfuscation is desired, it is necessary to mask the acoustic signature generated in essential operations. We consider the problem of masking the effect of an acoustic source in a…

Analysis of PDEs · Mathematics 2025-08-22 Hongyun Wang , Hong Zhou

Periodic surface structures are nowadays standard building blocks of optical devices. If such structures are illuminated by aperiodic time-harmonic incident waves as, e.g., Gaussian beams, the resulting surface scattering problem must be…

Numerical Analysis · Mathematics 2016-05-05 Armin Lechleiter , Ruming Zhang