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We consider an inverse shape problem coming from electrical impedance tomography with a Robin transmission condition. In general, a boundary condition of Robin type models corrosion. In this paper, we study two methods for recovering an…

Analysis of PDEs · Mathematics 2022-09-14 Govanni Granados , Isaac Harris

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony

This paper presents a wide-ranging theoretical and experimental study of non-adiabatic transient phenomena in a $\Lambda $ EIT system when a strong coupling field is rapidly switched on or off. The theoretical treatment uses a Laplace…

Numerical and analytical methods are developed for the investigation of contact sets in electrostatic-elastic deflections modeling micro-electro mechanical systems. The model for the membrane deflection is a fourth-order semi-linear partial…

Numerical Analysis · Mathematics 2020-04-20 Kelsey L. DiPietro , Ronald D. Haynes , Weizhang Huang , Alan E. Lindsay , Yufei Yu

We present a theoretical model and experimental demonstration of thin liquid film deformations due to a dielectric force distribution established by surface electrodes. We model the spatial electric field produced by a pair of parallel…

Soft Condensed Matter · Physics 2023-06-22 Israel Gabay , Federico Paratore , Evgeniy Boyko , Antonio Ramos , Amir D. Gat , Moran Bercovici

A continuum electromechanical model is proposed to describe the membrane curvature induced by electrostatic interactions in a solvated protein-membrane system. The model couples the macroscopic strain energy of membrane and the…

Quantitative Methods · Quantitative Biology 2015-05-19 Y. C. Zhou , Benzhuo Lu , Alemayehu A. Gorfe

We present a theory that combines the framework of irreversible thermodynamics with modified integral theorems to model arbitrarily curved and deforming membranes immersed in bulk fluid solutions. We study the coupling between the mechanics…

Soft Condensed Matter · Physics 2025-09-29 Ahmad M. Alkadri , Kranthi K. Mandadapu

We consider the inverse conductivity problem in a strictly convex domain whose boundary is not known. Usually the numerical reconstruction from the measured current and voltage data is done assuming the domain has a known fixed geometry.…

Analysis of PDEs · Mathematics 2016-09-07 Ville Kolehmainen , Matti Lassas , Petri Ola

We show how a strongly driven single-mode oscillator coupled to a first-order dynamical system gives rise to induced absorption or gain of a weak probe beam, and associated fast or slow light depending on the detuning conditions. We derive…

Mesoscale and Nanoscale Physics · Physics 2021-12-06 Marco Clementi , Matteo Galli , Liam O'Faolain , Dario Gerace

We show that the use of the electromagnetic inverse source framework offers great flexibility in the design of metasurfaces. In particular, this approach is advantageous for antenna design applications where the goal is often to satisfy a…

Applied Physics · Physics 2019-10-17 Trevor Brown , Chaitanya Narendra , Yousef Vahabzadeh , Christophe Caloz , Puyan Mojabi

Probabilistic inversion methods based on Markov chain Monte Carlo (MCMC) simulation are well suited to quantify parameter and model uncertainty of nonlinear inverse problems. Yet, application of such methods to CPU-intensive forward models…

Geophysics · Physics 2017-01-11 M. Rosas-Carbajal , N. Linde , T. Kalscheuer , J. A. Vrugt

Magnetic Induction Tomography (MIT) is a promising modality for noninvasive imaging due to its contactless and nonionizing technology. In this imaging method, a primary magnetic field is applied by excitation coils to induce eddy currents…

Quantitative Methods · Quantitative Biology 2024-12-19 Mohammad Reza Yousefi , Amin Dehghani , Ali Asghar Amini , S. M. Mehdi Mirtalaei

We deal with the problem of determining the shape of an inclusion embedded in a homogenous background medium. The multifre-quency electrical impedance tomography is used to image the inclusion. For different frequencies, a current is…

Analysis of PDEs · Mathematics 2019-03-21 Jin Cheng , Mourad Choulli , Shuai Lu

Fast identification methods of pressure sensors are investigated. With regard to a complete accurate sensor parameter identification two different measurement methods are combined. The approach consists on one hand in performing static…

Other Computer Science · Computer Science 2008-02-22 S. Michael , S. Kurth , J. Klattenhoff , H. Geissler , S. Hering

This paper is devoted to the analysis of a second order method for recovering the \emph{a priori} unknown shape of an inclusion $\omega$ inside a body $\Omega$ from boundary measurement. This inverse problem - known as electrical impedance…

Optimization and Control · Mathematics 2007-05-23 Lekbir Afraites , Marc Dambrine , Djalil Kateb

This work extends the results of [Garde and Hyv\"onen, Math. Comp. 91:1925-1953] on series reversion for Calder\'on's problem to the case of realistic electrode measurements, with both the internal admittivity of the investigated body and…

Numerical Analysis · Mathematics 2023-07-19 Henrik Garde , Nuutti Hyvönen , Topi Kuutela

Objective: The strengths of Electrical Impedance Tomography (EIT) are its capability of imaging the internal body by using a noninvasive, radiation safe technique, and the absence of known hazards. In this paper we introduce a novel idea of…

Signal Processing · Electrical Eng. & Systems 2022-03-08 Sebastien Martin

Electromagnetic Inverse Scattering Problems (EISP) have gained wide applications in computational imaging. By solving EISP, the internal relative permittivity of the scatterer can be non-invasively determined based on the scattered…

Computer Vision and Pattern Recognition · Computer Science 2024-07-15 Ziyuan Luo , Boxin Shi , Haoliang Li , Renjie Wan

This article concludes a three-part series developing a self-consistent theoretical framework of the electromechanics of lipid membranes at the continuum scale. Owing to their small thickness, lipid membranes are commonly modeled as…

Soft Condensed Matter · Physics 2025-02-26 Yannick A. D. Omar , Zachary G. Lipel , Kranthi K. Mandadapu

Time-lapse electrical resistivity tomography (ERT) is a popular geophysical method to estimate three-dimensional (3D) permeability fields from electrical potential difference measurements. Traditional inversion and data assimilation methods…

Geophysics · Physics 2022-08-10 M. K. Mudunuru , E. L. D. Cromwell , H. Wang , X. Chen
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