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Assessing the vulnerability of atherosclerotic plaques requires an accurate knowledge of the mechanical properties of the plaque constituents. It is possible to measure displacements in vivo inside a plaque using magnetic resonance imaging.…

Medical Physics · Physics 2011-10-17 Alexandre Franquet , Stéphane Avril , Pierre Badel , Rodolphe Le Riche

The subject of simulating internal organs is a valuable and important topic of research to multiple fields from medical analysis to education and training. This paper presents a solution that utilizes a graphical technique in combination…

Graphics · Computer Science 2024-01-23 Benjamnin Kenwright , Kanida Sinmai

Imaging techniques give a fundamental support to medical diagnostics during the pathology discovery as well as for the characterization of biological structures. The imaging methods involve electromagnetic waves in a frequency range that…

Computational Physics · Physics 2016-11-26 Guido Ala , Pietro Cassara' , Elisa Francomano , Salvatore Ganci

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

Numerical Analysis · Mathematics 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

In this study, we present an approach to ultrasonic beamforming and high resolution identification of acoustic sources having critical implications for structural health monitoring technology. The proposed concept is based on the design of…

Materials Science · Physics 2015-06-18 Fabio Semperlotti , Hongfei Zhu

Inverse source problems are central to many applications in acoustics, geophysics, non-destructive testing, and more. Traditional imaging methods suffer from the resolution limit, preventing distinction of sources separated by less than the…

Machine Learning · Computer Science 2022-08-11 Adar Kahana , Symeon Papadimitropoulos , Eli Turkel , Dmitry Batenkov

This article present a new method to reconstruct slowly varying width defects in 2D waveguides using one-side section measurements at locally resonant frequencies. At these frequencies, locally resonant modes propagate in the waveguide up…

Numerical Analysis · Mathematics 2022-12-15 Angèle Niclas , Laurent Seppecher

We analyse the behaviour of thin composite plates whose material properties vary periodically in-plane and possess a high degree of contrast between the individual components. Starting from the equations of three-dimensional linear…

Analysis of PDEs · Mathematics 2022-05-03 Marin Bužančić , Kirill Cherednichenko , Igor Velčić , Josip Žubrinić

Robustly manipulating waves on subwavelength scales can be achieved by, firstly, designing a structure with a subwavelength band gap and, secondly, introducing a defect so that eigenfrequencies fall within the band gap. Such frequencies are…

Analysis of PDEs · Mathematics 2021-11-15 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

Exceptional points (EPs) are degenerate singularities in a non-Hermitian system that can be induced by controlling the interaction between resonant photonic modes. EPs can enable unusual optical phenomena and significantly enhance the…

Applied Physics · Physics 2023-09-15 Hoon Yeub Jeong , Yeonsoo Lim , Jungho Han , Soo-Chan An , Young Chul Jun

Numerical modeling of strength and non-destructive testing of complex structures such as buildings, space rockets or oil reservoirs often involves calculations on extremely large grids. The modeling of elastic wave processes in solids…

Numerical Analysis · Mathematics 2025-09-12 Katerina Beklemysheva , Egor Michel , Andrey Ovsiannikov

We demonstrate experimentally that structural perturbations imposed on highly-dispersive photonic crystal-based waveguides give rise to spectral features that bear signatures of Anderson localization. Sharp resonances with the effective Qs…

Optics · Physics 2009-11-13 Juraj Topolancik , Rob Ilic , Frank Vollmer

We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed edge waves. These edge waves are topologically protected and are obtained by breaking inversion symmetry…

Soft Condensed Matter · Physics 2017-03-08 Raj Kumar Pal , Massimo Ruzzene

We consider the Dirichlet Laplacian in a three-dimensional waveguide that is a small deformation of a periodically twisted tube. The deformation is given by a bending and an additional twisting of the tube, both parametrized by a coupling…

Spectral Theory · Mathematics 2020-02-19 Vincent Bruneau , Pablo Miranda , Daniel Parra , Nicolas Popoff

Calculating by analytical theory the deformation of finite-sized elastic bodies in response to internally applied forces is a challenge. Here, we derive explicit analytical expressions for the amplitudes of modes of surface deformation of a…

Soft Condensed Matter · Physics 2024-07-15 Lukas Fischer , Andreas M. Menzel

Superresolution, extraordinary transmission, total absorption, and localization of electromagnetic waves are currently attracting growing attention. These phenomena are related to different physical objects and are usually studied within…

Resonant cavities with high quality factor and small mode volume provide crucial enhancement of light-matter interactions in nanophotonic devices that transport and process classical and quantum information. The production of functional…

Optics · Physics 2019-04-16 E. Yüce , J. Lian , S. Sokolov , J. Bertolotti , S. Combrié , A. De Rossi , A. P. Mosk

We study the surface plasmon modes of an arbitrarily shaped nanoparticle in the electrostatic limit. We first deduce an eigenvalue equation for these modes, expressed in terms of the Dirichlet-Neumann operators. We then use the properties…

Mathematical Physics · Physics 2009-03-09 Daniel Grieser , Felix Rüting

I present a direct and intuitive eigenmode method that evaluates the near-field enhancement around the surface of metallic nanoparticles of arbitrary shape. The method is based on the boundary integral equation in the electrostatic limit.…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Titus Sandu

The capability to temporarily arrest the propagation of optical signals is one of the main challenges hampering the ever more widespread use of light in rapid long-distance transmission as well as all-optical on-chip signal processing or…