Abstract
Representation of the electromagnetic field in terms of dyadic Green functions leads to the requirement to solve dyadic partial differential equations for the dyadic Green functions. While a formal solution for the infinite-medium problem can be given in a straightforward manner for even the most general, linear medium, the extraction of closed-form expressions is a complicated issue. The existence of such expressions for the dyadic Green functions is closely linked to the factorization properties of the determinant operator, which is associated with the dyadic differential operator of the dyadic Green functions. This connection is investigated for a special type of homogeneous, anisotropic dielectric medium.
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