Correction of order three for the expansion of two dimensional electromagnetic fields perturbed by the presence of inhomogeneities of small diameter

DOI10.1016/S0021-9991(03)00224-9zbMath1023.78003OpenAlexW2139972973MaRDI QIDQ1405151

Habib Ammari, Darko Volkov

Publication date: 25 August 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00224-9

zbMATH Keywords

boundary integral equationssmall dielectric inhomogeneitiestime harmonic TE Maxwell's equations

Mathematics Subject Classification ID

Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Electromagnetic theory (general) (78A25) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Numerical methods for locating small dielectric inhomogeneities ⋮ Asymptotic behavior of the solutions of a transmission problem for the Helmholtz equation: A functional analytic approach ⋮ On the perturbation of the electromagnetic energy due to the presence of small inhomogeneities

Cites Work

• Linear integral equations.
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• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
• Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
• Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
• The Pólya–Szegö matrices in asymptotic models of dilute composites
• Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
• Surface scattering in three dimensions: an accelerated high–order solver
• Dipole Moments in Rayleigh Scattering
• Virtual Mass and Polarization
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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