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Scaling theory for homogenization of the Maxwell equations.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics

July 1999

Scientific Centre for Applied Problems in Electrodynamics, Russian Academy of Sciences, Izhorskaya 13/19, Moscow 127412 RF, Russia.

A scaling theory for homogenization of the Maxwell equations is developed upon the representation of any field as a sum of its dipole, quadrupole, and magnetic dipole moments. This representation is exact and is connected neither with multipole expansion nor with the Helmholtz theorem. A chain of hierarchical equations is derived to calculate the moments.

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