1,060 research outputs found
Egocentric physics : just about Mie
We show that the physics of anapole excitations can be accurately described
in terms of a resonant state expansion formulation of standard Mie theory
without recourse to Cartesian coordinate based `toroidal' currents that have
previously been used to describe this phenomenon. In this purely Mie theory
framework, the anapole behavior arises as a result of a Fano-type interference
effect between different quasi-normal modes of the scatterer that effectively
eliminate the scattered field in the associated multipole order.Comment: 10 pages, 5 figure
Dirichlet L-series with real and complex characters and their application to solving double sums
A description of the properties of \L with complex characters is given. By
using these, together with the more familiar \L with real characters, it is
shown how certain two dimensional lattice sums, which previously could not be
put into closed form, may now be expressed in this way.Comment: 21 pages, 1 tabl
On the applicability of non-resonant artificial diamagnetics
Artificial diamagnetics are prominent for achieving extraordinarily strong
diamagnetism in a wide frequency range. However, as far as the magnetic fields
outside the artificial medium are concerned, bulk conductors show a very
similar pattern. The question arises whether the complicated internal structure
of artificial diamagnetics can, to this end, be replaced by a simpler object.
We analyse the figure of merit for the application of diamagnetics in magnetic
levitation, and show that for an electrically small body, any internal
structuring makes the figure of merit worse than that of a simple conducting
object.Comment: 5 pages, 5 figure
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