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For problems of time-harmonic scattering by polygonal obstacles, embedding formulae provide a useful means of computing the far-field coefficient induced by any incident plane wave, given the far-field coefficient of a relatively small set…

数值分析 · 数学 2018-05-24 Andrew Gibbs , Stephen Langdon , Andrea Moiola

We present a novel algorithm that enhances the accuracy of electromagnetic field simulations in indoor environments by incorporating the Uniform Geometrical Theory of Diffraction (UTD) for surface diffraction. This additional diffraction…

信号处理 · 电气工程与系统科学 2023-10-17 Ruichen Wang , Samuel Audia , Dinesh Manocha

In order to fully utilize spatial information for segmentation and address the challenge of handling areas with significant grayscale variations in remote sensing segmentation, we propose the SFFNet (Spatial and Frequency Domain Fusion…

计算机视觉与模式识别 · 计算机科学 2024-05-06 Yunsong Yang , Genji Yuan , Jinjiang Li

In order to produce high dynamic range images in radio interferometry, bright extended sources need to be removed with minimal error. However, this is not a trivial task because the Fourier plane is sampled only at a finite number of…

天体物理仪器与方法 · 物理学 2011-01-17 Sarod Yatawatta

An embedding method for solving the time-dependent Schr\"odinger equation is developed using the Dirac-Frenkel variational principle. Embedding allows the time-evolution of the wavefunction to be calculated explicitly in a limited region of…

介观与纳米尺度物理 · 物理学 2015-05-27 J. E. Inglesfield

The present article is devoting a numerical approach for solving a fractional partial differential equation (FPDE) arising from electromagnetic waves in dielectric media (EMWDM). The truncated Bernoulli and Hermite wavelets series with…

数值分析 · 数学 2021-04-05 Vijay Kumar Patel

This paper presents a new methodology for the solution of problems of two- and three-dimensional acoustic scattering (and, in particular, two-dimensional electromagnetic scattering) by obstacles and defects in presence an arbitrary number…

数值分析 · 数学 2017-08-23 Oscar P. Bruno , Carlos Pérez-Arancibia

The Wigner Transform (WT) has been extensively used in the formulation of phase-space models for a variety of wave propagation problems including high-frequency limits, nonlinear and random waves. It is well known that the WT features…

偏微分方程分析 · 数学 2015-05-19 Agissilaos G. Athanassoulis

Modeling of spherical metasurfaces using Generalized Sheet Transition Conditions (GSTCs) and Vector Wave Function (VWF) expansion is presented. The fields internal and external to the metasurface is expanded in terms of spherical VWFs and…

经典物理 · 物理学 2019-06-26 Srikumar Sandeep , Shao Ying Huang

Background: Windowed Fourier decompositions (WFD) are widely used in measuring stationary and non-stationary spectral phenomena and in describing pairwise relationships among multiple signals. Although a variety of WFDs see frequent…

定量方法 · 定量生物学 2019-01-30 Christopher K. Kovach , Phillip E. Gander

Recent advances in computer graphics and computer vision have found successful application of deep neural network models for 3D shapes based on signed distance functions (SDFs) that are useful for shape representation, retrieval, and…

计算机视觉与模式识别 · 计算机科学 2020-10-27 Oladapo Afolabi , Allen Y. Yang , S. Shankar Sastry

Spectral embedding uses eigenfunctions of the discrete Laplacian on a weighted graph to obtain coordinates for an embedding of an abstract data set into Euclidean space. We propose a new pre-processing step of first using the eigenfunctions…

机器学习 · 统计学 2016-07-18 Alexander Cloninger , Stefan Steinerberger

Diffraction of a surface wave on a rectangular wedge with impedance faces is studied using the Sommerfeld-Malyuzhinets technique. An analog of Landau's bypass rule in the theory of plasma waves is introduced for selection of a correct…

光学 · 物理学 2014-03-25 Igor A. Kotelnikov , Vasily V. Gerasimov , Boris A. Knyazev

The problem of the fictitious frequency spectrum resulting from numerical implementations of the boundary element method for the exterior Helmholtz problem is revisited. When the ordinary 3D free space Green's function is replaced by a…

计算物理 · 物理学 2019-10-08 Evert Klaseboer , Florian D. E. Charlet , Boo-Cheong Khoo , Qiang Sun , Derek Y. C. Chan

Propagation characteristics of a wave are defined by the dispersion relationship, from which the governing partial differential equation (PDE) can be recovered. PDEs are commonly solved numerically using the finite-difference (FD) method,…

数值分析 · 数学 2021-07-29 Edward Caunt

We present a new mathematical framework for incorporating partial coherence effects into wave optics simulations through a comprehensive surface-to-detector approach. Unlike traditional ensemble averaging methods, our dual-component…

光学 · 物理学 2025-05-26 Netzer Moriya

Scattering of electronic waves in square and triangular lattice half-planes by a step on the surface is analyzed using the nearest-neighbour tight binding approximation. The changes in lattice spacing and the transfer integral between…

介观与纳米尺度物理 · 物理学 2019-09-04 Basant Lal Sharma

The numerical simulation of wave propagation in semiclassical (high-frequency) problems is well known to pose a formidable challenge. In this work, a new phase-space approach for the numerical simulation of semiclassical wave propagation,…

偏微分方程分析 · 数学 2008-10-30 Agissilaos G. Athanassoulis

We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but…

数值分析 · 数学 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

Utilizing spherical harmonic (SH) domain has been established as the default method of obtaining continuity over space in head-related transfer functions (HRTFs). This paper concerns different variants of extending this solution by…

音频与语音处理 · 电气工程与系统科学 2023-07-19 Adam Szwajcowski