D-Index & Metrics Best Publications
Mathematics
Switzerland
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 62 Citations 11,671 380 World Ranking 341 National Ranking 6
Engineering and Technology D-index 58 Citations 9,868 339 World Ranking 1228 National Ranking 23

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Switzerland Leader Award

2022 - Research.com Mathematics in Switzerland Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Optics

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 most cited work include:

  • Reconstruction of Small Inhomogeneities from Boundary Measurements (444 citations)
  • Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory (328 citations)
  • An Introduction to Mathematics of Emerging Biomedical Imaging (220 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Mathematical analysis (39.27%)
  • Scattering (13.39%)
  • Inverse problem (12.29%)

What were the highlights of his more recent work (between 2016-2021)?

  • Resonator (7.16%)
  • Mathematical analysis (39.27%)
  • Scattering (13.39%)

In recent papers he was focusing on the following fields of study:

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.

Between 2016 and 2021, his most popular works were:

  • Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case (97 citations)
  • Effective medium theory for acoustic waves in bubbly fluids near Minnaert resonant frequency (38 citations)
  • Mathematical and Computational Methods in Photonics and Phononics (36 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Optics

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Reconstruction of Small Inhomogeneities from Boundary Measurements

Habib Ammari;Hyeonbae Kang.
(2004)

717 Citations

Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory

Habib Ammari;Hyeonbae Kang.
(2010)

604 Citations

An Introduction to Mathematics of Emerging Biomedical Imaging

Habib Ammari.
(2008)

330 Citations

A justification of eddy currents model for the Maxwell equations

H. Ammari;A. Buffa;J.-C Nédélec.
Siam Journal on Applied Mathematics (2000)

263 Citations

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)

246 Citations

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)

222 Citations

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)

208 Citations

Layer Potential Techniques in Spectral Analysis

Habib Ammari;Hyeonbae Kang;Hyundae Lee.
(2009)

196 Citations

Electrical Impedance Tomography by Elastic Deformation

Habib Ammari;Eric Bonnetier;Yves Capdeboscq;Mickael Tanter.
Siam Journal on Applied Mathematics (2008)

190 Citations

Mathematical and Statistical Methods for Multistatic Imaging

Habib Ammari.
(2013)

177 Citations

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