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In the presence of external off-resonance and circularly-polarized irradiation, we have derived a many-body formalism and performed a detailed numerical analysis for both the conduction and optical currents in $\alpha-\mc{T}_3$ lattices.…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Andrii Iurov , Liubov Zhemchuzhna , Dipendra Dahal , Godfrey Gumbs , Danhong Huang

We consider the problem of recovering an isotropic conductivity outside some perfectly conducting or insulating inclusions from the interior measurement of the magnitude of one current density field $|J|$. We prove that the conductivity…

Analysis of PDEs · Mathematics 2011-12-12 Amir Moradifam , Adrian Nachman , Alexandru Tamasan

Conductive organic polymers can be formulated with polymers that incorporate fine dispersed metallic particles. In this work, we present a general model for ferrogels which are chemically cross-linked polymer networks swollen with a…

Chemical Physics · Physics 2016-09-08 J. P. Huang

The behavior of the electromagnetic field near a common edge of a resistive half-plane and a perfectly conducting wedge is investigated. The possible appearance besides power terms also of logarithmic functions in the field expansions at…

Classical Physics · Physics 2024-10-29 I. M. Braver , P. Sh. Fridberg , Kh. L. Garb , I. M. Yakover

We consider the conductivity problem for a homogeneous body with an inclusion of a different, but known, conductivity. Our interest concerns the associated shape derivative, i.e., the derivative of the corresponding electrostatic potential…

Analysis of PDEs · Mathematics 2025-06-10 Martin Hanke

The parameters estimation of a system using indirect measurements over the same system is a problem that occurs in many fields of engineering, known as the inverse problem. It also happens in the field of underwater acoustic, especially in…

Signal Processing · Electrical Eng. & Systems 2020-03-31 Marco Apolinario , Samuel Huaman Bustamante , Giorgio Morales , Joel Telles , Daniel Diaz

This paper tackles the problem of estimating 3D body shape of clothed humans from single polarized 2D images, i.e. polarization images. Polarization images are known to be able to capture polarized reflected lights that preserve rich…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Shihao Zou , Xinxin Zuo , Yiming Qian , Sen Wang , Chi Xu , Minglun Gong , Li Cheng

The electromagnetic field inside a cubic cavity filled up with a linear magnetodielectric medium and in the presence of external charges is quantized by modelling the magnetodielectric medium with two independent quantum fields. Electric…

Quantum Physics · Physics 2009-11-13 M. Amooshahi , F. Kheirandish

We consider the problem of determining the shape and location of an unknown penetrable object in a perfectly conducting electromagnetic waveguide. The inverse problem is posed in the frequency domain and uses multistatic data in the near…

Numerical Analysis · Mathematics 2019-09-04 Peter Monk , Virginia Selgas , Fan Yang

Research on strongly correlated electron systems faces a fundamental challenge due to the complex nature of intrinsic many-body correlations. A key strategy to address this challenge lies in advancing experimental methods that can directly…

Strongly Correlated Electrons · Physics 2026-03-31 Yuehua Su , Guoya Zhang , Chao Zhang , Dezhong Cao

The size estimation problem in electrical impedance tomography is considered when the conductivity is a complex number and the body is two-dimensional. Upper and lower bounds on the volume fraction of the unknown inclusion embedded in the…

Analysis of PDEs · Mathematics 2013-10-10 Hyeonbae Kang , Kyoungsun Kim , Hyundae Lee , Xiaofei Li , Graeme W. Milton

Confinement of the electron gas along one of the spatial directions opens an avenue for studying fundamentals of quantum transport along the side of numerous practical electronic applications, with high-electron-mobility transistors being a…

Materials Science · Physics 2017-12-12 O. Rubel

The one-body reduced density matrix (1-RDM) of a many-body system at zero temperature gives direct access to many observables, such as the charge density, kinetic energy and occupation numbers. It would be desirable to express it as a…

Computational Physics · Physics 2021-01-27 Jack Wetherell , Andrea Costamagna , Matteo Gatti , Lucia Reining

A new methodology is proposed to estimate 3D displacement fields from pairs of images obtained from X-Ray Computed Micro Tomography (XCMT). Contrary to local approaches, a global approach is followed herein that evaluates {\em continuous}…

Classical Physics · Physics 2007-12-18 Stephane Roux , François Hild , Philippe Viot , Dominique Bernard

In this paper, we study the recovery of multi-layer structures in inverse conductivity problem by using one measurement. First, we define the concept of Generalized Polarization Tensors (GPTs) for multi-layered medium and show some…

Analysis of PDEs · Mathematics 2025-12-18 Lingzheng Kong , Youjun Deng , Liyan Zhu

Results of experimental study of the weak localization phenomenon in 2D system with artificial inhomogeneity of potential relief are presented. It is shown that the shape of the magnetoconductivity curve is determined by the statistics of…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , A. A. Sherstobitov , A. V. Germanenko , O. E. Rut

We consider a time-independent variable coefficients fractional porous medium equation and formulate an associated inverse problem. We determine both the conductivity and the absorption coefficient from exterior partial measurements of the…

Analysis of PDEs · Mathematics 2023-02-07 Li Li

Time and spatial damping of transverse magnetohydrodynamic (MHD) kink oscillations is a source of information on the cross-field variation of the plasma density in coronal waveguides. We show that a probabilistic approach to the problem of…

Solar and Stellar Astrophysics · Physics 2014-05-14 I. Arregui , A. Asensio Ramos

The onset of transformation optics has opened avenues for designing of a plenitude of applications related to propagation of electromagnetic waves in anisotropic media. In this paper, an algorithm is proposed using a coordinate…

Optics · Physics 2015-11-30 H. H. Sidhwa , R. P. Aiyar , S. V. Kulkarni

Our demonstration shows a system that estimates internal body structures from 3D surface models using deep convolutional neural networks trained on CT (computed tomography) images of the human body. To take pictures of structures inside the…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Takumi Moriya , Kazuyuki Saito , Hiroya Tanaka