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A rigorous full-wave modal analysis based on the method of moments in the spectral domain is presented for line waveguides constituted by two-part impedance planes with arbitrary anisotropic surface impedances. An integral equation is…

Numerical Analysis · Mathematics 2023-08-16 Giampiero Lovat , Walter Fuscaldo , Massimo Moccia , Giuseppe Castaldi , Vincenzo Galdi , Paolo Burghignoli

Atomic force microscopy (AFM) is a well-known tool for studying surface roughness and to collect depth information about features on the top atomic layer of samples. By combining secondary ion mass spectroscopy (SIMS) with focused ion beam…

Materials Science · Physics 2022-10-18 Lex Pillatsch , Szilvia Kalácska , Xavier Maeder , Johann Michler

Alternating patterns of small and large amplitude oscillations occur in a wide variety of physical, chemical, biological and engineering systems. These mixed-mode oscillations (MMOs) are often found in systems with multiple time scales.…

Dynamical Systems · Mathematics 2014-06-24 Christian Kuehn

A single-source surface integral equation (SS-SIE) for transverse electric (TE) scattering from cylindrical multilayered objects is proposed in this paper. By incorporating the differential surface admittance operator (DSAO) and recursively…

Computational Engineering, Finance, and Science · Computer Science 2021-12-15 Zekun Zhu , Xiaochao Zhou , Shunchuan Yang , Zhizhang , Chen

The analysis of electromagnetic scattering has long been performed on a discrete representation of the geometry. This representation is typically continuous but {\em not} differentiable. The need to define physical quantities on this…

Computational Physics · Physics 2016-06-22 Jie Li , Daniel Dault , Beibei Liu , Yiying Tong , Balasubramaniam Shanker

We implement substrate rotation in a 2+1 dimensional solid-on-solid model of ion beam sputtering of solid surfaces. With this extension of the model, we study the effect of concurrent rotation, as the surface is sputtered, on possible…

Materials Science · Physics 2008-02-09 Emmanuel O. Yewande , Reiner Kree , Alexander K. Hartmann

In this work, we investigate dispersion interactions in a selection of atomic, molecular, and molecule-surface systems, comparing high-level correlated methods with empirically-corrected density functional theory (DFT). We assess the…

Chemical Physics · Physics 2021-01-27 Tyler J. Hughes , Robert A. Shaw , Salvy P. Russo

In this paper we present a convergence analysis for the Nystrom method proposed in [Jour. Comput. Phys. 169 pp. 2921-2934, 2001] for the solution of the combined boundary integral equation formulations of sound-soft acoustic scattering…

Numerical Analysis · Mathematics 2012-10-12 Oscar P. Bruno , Victor Dominguez , Francisco-Javier Sayas

Compton scattering is involved in many astrophysical situations. It is well known and has been studied in detail for the past fifty years. Exact formulae for the different cross sections are often complex, and essentially asymptotic…

High Energy Astrophysical Phenomena · Physics 2015-05-13 R. Belmont

Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in two dimensions. In this paper, a novel boundary integral formulation is proposed and its highly accurate…

Numerical Analysis · Mathematics 2020-07-20 Heping Dong , Jun Lai , Peijun Li

Mie theory is one of the main tools describing scattering of propagating electromagnetic waves by spherical particles. Evanescent optical fields are also scattered by particles and exert radiation forces which can be used for optical…

Optics · Physics 2013-12-13 Aleksandr Y. Bekshaev , Konstantin Y. Bliokh , Franco Nori

Scattering scanning near-field optical microscopy (s-SNOM) is a technique to enhance the spatial resolution, and when combined by Fourier transform spectroscopy it can provide spectroscopic information with high spatial resolution. This…

We study how the radiative properties of a dense ensemble of atoms can be modified when they are placed near or between metallic or dielectric surfaces. If the average separation between the atoms is comparable or smaller than the…

Quantum Physics · Physics 2018-06-06 Ryan Jones , Jemma A. Needham , Igor Lesanovsky , Francesco Intravaia , Beatriz Olmos

Scattering-type scanning near-field optical microscopy is becoming a premier method for the nanoscale optical investigation of materials well beyond the diffraction limit. A number of popular numerical methods exist to predict the…

Materials Science · Physics 2023-09-22 Dániel Datz , Gergely Németh , László Rátkai , Áron Pekker , Katalin Kamarás

The radiation condition is the key question in the mathematical modelling for scattering problems in unbounded domains. Mathematically, it plays the role as the "boundary condition" at the infinity, which guarantees the well-posedness of…

Analysis of PDEs · Mathematics 2024-10-03 Ruming Zhang

The present study presents a comprehensive theoretical investigation of atom and asymmetric top molecule inelastic scattering based on the R-matrix formalism. The proposed methodology establishes a rigorous framework for treating inelastic…

Use of an optimization algorithm to improve performance of antennas and electromagnetic structures usually ends up in planar unusual shapes. Using rectangular conducting elements the proposed structures sometimes have connections with only…

Optics · Physics 2015-04-29 David V. Thiel , Morteza Shahpari , Jan Hettenhausen , Andrew Lewis

In this paper, an unrolling algorithm of the iterative subspace-based optimization method (SOM) is proposed for solving full-wave inverse scattering problems (ISPs). The unrolling network, named SOM-Net, inherently embeds the Lippmann-…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Yu Liu , Hao Zhao , Rencheng Song , Xudong Chen , Chang Li , Xun Chen

A semicalssical method based on surface-hopping techniques is developed to model the dynamics of radiative association with electronic transitions in arbitrary polyatomic systems. It can be proven that our method is an extension of the…

Chemical Physics · Physics 2017-10-11 Péter Szabó , Magnus Gustafsson

We study the inverse problem of locating point sources from far-field data under plane wave incidence. A direct computational method is developed based on multiple scattering theory, using a novel indicator function to avoid iterative…

Analysis of PDEs · Mathematics 2025-09-18 Nana Meng