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JuliaApproximation / SingularIntegralEquations.jl

Julia package for solving singular integral equations
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Different material properties #13

Open MikaelSlevinsky opened 9 years ago

MikaelSlevinsky commented 9 years ago

We should be able to look at Helmholtz and Laplace's equation with homogeneous regions with different material properties: permeability & permittivity, and different wave numbers. I believe this would only change the Dirichlet/Neumann traces and how the solutions are evaluated, but the problem structure is the same.

MikaelSlevinsky commented 9 years ago

There's also a dual problem to scattering of screens. The set complement of the original obstacles can also be considered the scatterer.

MikaelSlevinsky commented 9 years ago

Negative permittivity and permeability give rise to meta materials that can cloak embedded objects in a certain frequency band.

http://m.sciencemag.org/content/314/5801/977