Maxwell Optics: I. An exact matrix representation of the Maxwell equations in a medium

Physics – Optics

Scientific paper

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LaTeX-12pt 10 pages, Part-I of a series http://www.pd.infn.it/~khan/ and http://www.imsc.ernet.in/~jagan/

Scientific paper

10.1238/Physica.Regular.071a0044

Matrix representations of the Maxwell equations are well-known. However, all these representations lack an exactness or/and are given in terms of a {\em pair} of matrix equations. We present a matrix representation of the Maxwell equation in presence of sources in a medium with varying permittivity and permeability. It is shown that such a representation necessarily requires $8 \times 8$ matrices and an explicit representation for them is presented.

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