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Ewald-Oseen extinction theorem does not describe the extinction of an incident wave in a medium

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Abstract

Contrary to prevailing belief, the Ewald-Oseen extinction theorem1 is unrelated to the physical process of extinction of an incident wave in a medium. The apparent cancellation of the incident field in the customary derivation1 of the theorem is no more than a consequence of the super position principle: within the medium the dipole field must be expressible as the sum of the total field in the medium and of the negative of the incident field. The Ewald-Oseen extinction theorem, including its generalized forms,2 belongs both in its formal structure and in its physical content in the family of relations which may be categorized, broadly speaking, with the Huygens principle.

© 1986 Optical Society of America

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