Abstract |
I will discuss recent joint work with Leslie Greengard on a new
representation of solutions to the time harmonic Maxwell Equations. Using
this representation we reduce the solution of the classical problems of
scattering off of a smooth bounded interface to the solution of Fredholm
integral equations of second kind on the interface. What distinguishes our
representation is that it does not have any spurious "interior"
resonances, or suffer from low frequency breakdown. It also reveals some
interesting topological features of the time harmonic equations at non-zero
frequencies.
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