Electromagnetic Fields on Fractals

Details Electromagnetic Fields on Fractals Electromagnetic Fields on Fractals

2007-11-12

arxiv.org/abs/0711.1783v1

Mod.Phys.Lett.A21:1587-1600,2006

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX

Scientific paper

10.1142/S0217732306020974

Fractals are measurable metric sets with non-integer Hausdorff dimensions. If electric and magnetic fields are defined on fractal and do not exist outside of fractal in Euclidean space, then we can use the fractional generalization of the integral Maxwell equations. The fractional integrals are considered as approximations of integrals on fractals. We prove that fractal can be described as a specific medium.

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