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6 papers · 1 filter
Long time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials (II) A modal approach
Maxence Cassier, Patrick Joly, Luis Alejandro Rosas Martínez
This work concerns the analysis of electromagnetic dispersive media modelled by generalized Lorentz models. More precisely, this paper is the second of two articles dedicated to th…
Solution of the inverse scattering problem by T-matrix completion. II. Simulations
Howard W. Levinson, Vadim A. Markel
This is Part II of the paper series on data-compatible T-matrix completion (DCTMC), which is a method for solving nonlinear inverse problems. Part I of the series contains theory a…
Trapped Modes and Steered Dirac Cones in Platonic Crystals
R. C. McPhedran, A. B. Movchan, N. V. Movchan +2
This paper discusses the properties of flexural waves obeying the biharmonic equation, propagating in a thin plate pinned at doubly-periodic sets of points. The emphases are on the…
Nonlinear inverse problem by T-matrix completion. I. Theory
Howard W. Levinson, Vadim A. Markel
We propose a conceptually new method for solving nonlinear inverse scattering problems (ISPs) such as are commonly encountered in tomographic ultrasound imaging, seismology and oth…
Homogenisation and spectral convergence of a periodic elastic composite with weakly compressible inclusions
Shane Cooper
A two phase elastic composite with weakly compressible elastic inclusions is considered. The homogenised two-scale limit problem is found, via a version of the method of two-scale…
Numerical Analysis of Three-dimensional Acoustic Cloaks and Carpets
Guillaume Dupont, Mohamed Farhat, Andre Diatta +2
We start by a review of the chronology of mathematical results on the Dirichlet-to-Neumann map which paved the way towards the physics of transformational acoustics. We then rederi…