2023 - Research.com Mathematics in Switzerland Leader Award
2022 - Research.com Mathematics in Switzerland Leader Award
His scientific interests lie mostly in Mathematical analysis, Helmholtz equation, Boundary value problem, Inverse problem and Maxwell's equations. His biological study spans a wide range of topics, including Boundary and Conductivity. His Boundary study combines topics in areas such as Uniqueness and Electromagnetic field.
His studies in Helmholtz equation integrate themes in fields like Cloaking, Scattering amplitude, Scattering, Dielectric and Shear modulus. His Boundary value problem study incorporates themes from Singular value decomposition, Partial differential equation, Integral equation and Laplace operator. His Inverse problem study combines topics from a wide range of disciplines, such as Acoustics, Stability, Discrete dipole approximation, Computer simulation and Search algorithm.
His primary areas of investigation include Mathematical analysis, Scattering, Inverse problem, Optics and Asymptotic expansion. His studies deal with areas such as Boundary, Eigenvalues and eigenvectors and Conductivity as well as Mathematical analysis. His Conductivity study frequently draws parallels with other fields, such as Electrical impedance tomography.
His Scattering research focuses on Plasmon and how it connects with Condensed matter physics. In most of his Inverse problem studies, his work intersects topics such as Algorithm. Many of his studies on Optics apply to Band gap as well.
Habib Ammari focuses on Resonator, Mathematical analysis, Scattering, Plasmon and Computational physics. His Mathematical analysis course of study focuses on Eigenvalues and eigenvectors and Sensitivity. Habib Ammari combines subjects such as Field, Quantum electrodynamics, Boundary and Work with his study of Scattering.
His Plasmon research incorporates elements of Nanoparticle, Nanotechnology, Resonance and Condensed matter physics. His work deals with themes such as Conformal map, Dielectric, Inverse problem and Conductivity, which intersect with Computational physics. The study incorporates disciplines such as Polarization and Algorithm in addition to Inverse problem.
Habib Ammari mainly investigates Resonator, Computational physics, Plasmon, Mathematical analysis and Metamaterial. The Resonator study combines topics in areas such as Acoustics, Resonance, Quantum mechanics and Edge. His Computational physics research incorporates themes from Field, Boundary, Inverse problem and Acoustic wave.
His work carried out in the field of Plasmon brings together such families of science as Polarization, Nanoparticle, Electromagnetic field and Transformation optics. He performs integrative Mathematical analysis and Clutter research in his work. His Metamaterial research includes elements of Condensed matter physics, Cluster, Homogenization and Exceptional point, Eigenvalues and eigenvectors.
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Reconstruction of Small Inhomogeneities from Boundary Measurements
Habib Ammari;Hyeonbae Kang.
(2004)
Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory
Habib Ammari;Hyeonbae Kang.
(2010)
An Introduction to Mathematics of Emerging Biomedical Imaging
Habib Ammari.
(2008)
A justification of eddy currents model for the Maxwell equations
H. Ammari;A. Buffa;J.-C Nédélec.
Siam Journal on Applied Mathematics (2000)
A MUSIC algorithm for locating small inclusions buried in a half space from the scattering amplitude at a fixed frequency.
Habib Ammari;Ekaterina Iakovleva;Dominique Lesselier.
Multiscale Modeling & Simulation (2005)
MUSIC-Type Electromagnetic Imaging of a Collection of Small Three-Dimensional Inclusions
Habib Ammari;Ekaterina Iakovleva;Dominique Lesselier;Gae¨le Perrusson.
SIAM Journal on Scientific Computing (2007)
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations
Habib Ammari;Michael S Vogelius;Darko Volkov.
Journal de Mathématiques Pures et Appliquées (2001)
Layer Potential Techniques in Spectral Analysis
Habib Ammari;Hyeonbae Kang;Hyundae Lee.
(2009)
Electrical Impedance Tomography by Elastic Deformation
Habib Ammari;Eric Bonnetier;Yves Capdeboscq;Mickael Tanter.
Siam Journal on Applied Mathematics (2008)
Mathematical and Statistical Methods for Multistatic Imaging
Habib Ammari.
(2013)
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