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Ewald–Oseen extinction theorem and Lorentz–Lorenz formula for the general electromagnetic substance

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Abstract

By considering the contribution of the magnetic dipole, we derive the Ewald–Oseen extinction theorem and the Lorentz–Lorenz formula for an electromagnetic substance. Their physical meanings are explained and discussed. We point out that the integral equations representing the mutual interaction between the substance and the field are equivalent to Maxwell’s equations. The laws of refraction and reflection can also be derived from this theorem.

© 1988 Optical Society of America

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