Quasi-normal modes of a dielectric ball and some their implications

Details Quasi-normal modes of a dielectric ball and some their implications Quasi-normal modes of a dielectric ball and some their implications

2005-12-29

arxiv.org/abs/hep-th/0512340v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure with two eps files, REVTEX4; presentation is improved

Scientific paper

It is shown that the quasi-normal modes arise, in a natural way, when considering the oscillations in unbounded regions by imposing the radiation condition at spatial infinity with a complex wave vector $k$. Hence quasi-normal modes are not peculiarities of gravitation problems only (black holes and relativistic stars). It is proposed to consider the space form of the quasi-normal modes with allowance for their time dependence. As a result, the problem of their unbounded increase when $r\to \infty$ is not encountered more. The properties of quasi-normal modes of a compact dielectric sphere are discussed in detail. It is argued that the spatial form of these modes (especially so-called surface modes) should be taken into account, for example, when estimating the potential health hazards due to the use of portable telephones.

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