Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles

DOI10.1090/qam/1502zbMath1403.35296arXiv1701.06396OpenAlexW2582266834WikidataQ130203060 ScholiaQ130203060MaRDI QIDQ4585735

Margaux Vauthrin, Faouzi Triki

Publication date: 7 September 2018

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06396

zbMATH Keywords

inverse problemphotoacousticnanoparticleplasmonic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Hydro- and aero-acoustics (76Q05) Statistical mechanics of metals (82D35) Cell biology (92C37) Motion of charged particles (78A35) Waves and radiation in optics and electromagnetic theory (78A40) Resonance in context of PDEs (35B34) Statistical mechanics of nanostructures and nanoparticles (82D80) PDEs in connection with statistical mechanics (35Q82)

Related Items (8)

Reconstruction of Domains with Algebraic Boundaries from Generalized Polarization Tensors ⋮ Simultaneous Reconstruction of Optical and Acoustical Properties in Photoacoustic Imaging Using Plasmonics ⋮ Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques ⋮ Mathematical analysis of the photo-acoustic imaging modality using resonating dielectric nano-particles: the \(2D\) TM-model ⋮ Heat Generation with Plasmonic Nanoparticles ⋮ Homogenization of the eigenvalues of the Neumann-Poincaré operator ⋮ Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors ⋮ Photo-acoustic inversion using plasmonic contrast agents: the full Maxwell model

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