Polarizability of 2D monster and light scattering

Details Polarizability of 2D monster and light scattering Polarizability of 2D monster and light scattering

1999-09-03

arxiv.org/abs/cond-mat/9909042v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, submitted to Phys. Rev. B

Scientific paper

The electrostatics of 2D system with complicated inner boundary is studied. The object which we call "monster" is built by an iterative process of multiple conformal mapping of the circle exterior. The procedure leads to the figures built from circle with branching curved cuts (i), to the multiple tangential near-round circles (ii) and the Mandelbrot map (iii). The polarizability of a monster in the homogeneous external field is found. The light scattering cross-section was expressed through the polarizability of a monster.

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