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Abstract
The dielectric susceptibility of a wide class of dielectric materials follows, over
extended frequency ranges, a fractional power-law frequency dependence that is called
the "universal" response. The electromagnetic fields in such dielectric media are
described by fractional differential equations with time derivatives of non-integer
order. An exact solution of the fractional equations for a magnetic field is derived.
The electromagnetic fields in the dielectric materials demonstrate fractional damping.
The typical features of "universal" electromagnetic waves in dielectric are common
to a wide class of materials, regardless of the type of physical structure, chemical
composition, or of the nature of the polarizing species, whether dipoles, electrons
or ions.