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This work is concerned with an inverse electromagnetic scattering problem in two dimensions. We prove that in the TE polarization case, the knowledge of the electric far-field pattern incited by a single incoming wave is sufficient to…

Analysis of PDEs · Mathematics 2019-02-20 Guanghui Hu , Long Li , Jun Zou

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

Optics · Physics 2007-05-23 B. Guizal , D. Felbacq

The solution of the elliptic partial differential equation has interface singularity at the points which are either the intersections of interfaces or the intersections of interfaces with the boundary of the domain. The singularities that…

Numerical Analysis · Mathematics 2020-03-05 N. Kishore Kumar , Pankaj Biswas , B. Seshadri Reddy

We derive and implement a suitable boundary condition for the kinetic description of the electrons inside a plasma, which takes into account microphysical processes inside the wall. It is based on the surface scattering kernel, which…

Plasma Physics · Physics 2025-11-26 Felix Willert , Clemens Hoyer , Gordon K. Grubert , Franz X. Bronold

We show that the far--field pattern of a scattered electromagnetic field corresponding to a single incoming plane--wave uniquely determines a bounded supraconductive planar screen. This generalises a previous scalar result of Bl\aa sten,…

Analysis of PDEs · Mathematics 2023-07-20 Sadia Sadique , Petri Ola , Lassi Päivärint

A time domain finite element numerical study of impedance spectroscopy in composite electroceramics is presented. The simulations take into account the complexity of the realistic three dimensional granular structure including grains and…

Materials Science · Physics 2012-09-19 Alexander Goncharov , Gino Hrkac , Julian Dean , Thomas Schrefl

While doing electromagnetic analysis using FEM (Finite element method), if we can implement the underlying symmetric nature of the problem, there will be significant reduction in the computational cost. Symmetric nature of the problem can…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Durgarao Kamireddy , Sreekanth Karanam , Arup Nandy

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. Tey are reviewed in the work presented. It is drawing the attention on the following aspects. EM-field has in general case quaternion…

Mathematical Physics · Physics 2013-07-11 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

We develop a fundamental transfer-matrix formulation of the scattering of electromagnetic (EM) waves that incorporates the contribution of the evanescent waves and applies to general stationary linear media which need not be isotropic,…

Optics · Physics 2023-08-01 Farhang Loran , Ali Mostafazadeh

Conventional quantum field theory is a method for studying structureless elementary particles. Non-elementary particles, on the other hand, are those with internal structure or particles that are made up of elementary constituents like the…

General Physics · Physics 2024-03-14 A. D. Alhaidari

Leveraging topological properties in the response of electromagnetic systems can greatly enhance their potential. Although the investigation of singularity-based electromagnetics and non-Hermitian electronics has considerably increased in…

Single scale Feynman integrals in quantum field theories obey difference or differential equations with respect to their discrete parameter $N$ or continuous parameter $x$. The analysis of these equations reveals to which order they…

High Energy Physics - Theory · Physics 2018-08-27 Johannes Blümlein

We derive the $\mathcal{T}$-matrix formalism tailored for numerical analysis of second-harmonic (SH) generation from arbitrarily shaped particles made of centrosymmetric optical materials. First, the transfer matrix of a single particle is…

Optics · Physics 2025-08-18 Ivan Sekulic , Ji Tong Wang , Jian Wei You , Nicolae C. Panoiu

A first principles quantum formalism to describe the non-adiabatic dynamics of electrons and nuclei based on a second quantization representation (SQR) of the electronic motion combined with the usual representation of the nuclear…

Chemical Physics · Physics 2020-11-06 Sudip Sasmal , Oriol Vendrell

An efficient method for frequency domain analysis of 2D cross-field devices is presented. This work was done to analyze and design high efficiency magnetrons. Arbitrary device-geometries are described by a piecewise planar boundary. The…

Accelerator Physics · Physics 2007-05-23 Valery A. Dolgashev , Sami G. Tantawi

We introduce a new method for computing spectra of molecules for which a spin-spin term in the Hamiltonian has an important effect. In previous calculations, matrix elements of the spin-spin term and of the potential were obtained by…

Chemical Physics · Physics 2019-05-23 Xiao-Gang Wang , Tucker Carrington

We consider the variational formulation of the electric field integral equation (EFIE) on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on div-conforming Raviart-Thomas boundary elements…

Numerical Analysis · Mathematics 2009-07-31 Alexei Bespalov , Norbert Heuer , Ralf Hiptmair

An analytic method is proposed to compute the surface energy and elementary excitations of the XXZ spin chain with generic non-diagonal boundary fields. For the gapped case, in some boundary parameter regimes the contributions of the two…

Statistical Mechanics · Physics 2021-07-01 Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

The paper presents a two-dimensional geometrically nonlinear formulation of a beam element that can accommodate arbitrarily large rotations of cross sections. The formulation is based on the integrated form of equilibrium equations, which…

Numerical Analysis · Mathematics 2021-04-20 Milan Jirásek , Emma La Malfa Ribolla , Martin Horák

The Complex Kohn variational method for electron-polyatomic molecule scattering is formulated using an overset grid representation of the scattering wave function. The overset grid consists of a central grid and multiple dense,…

Chemical Physics · Physics 2017-12-06 Loren Greenman , Robert R. Lucchese , C. William McCurdy