A convenient symbolic notation for the conversion of Maxwell's equations into an equivalent eigenvalue form for bianisotropic and inhomogeneous media

摘要

We consider a hybrid representation of Maxwell's equations in bianisotropic and transversely inhomogeneous media, by constructing a normalized 6/spl times/6 material matrix. We introduce appropriate projection and rotation matrices, and present a convenient technique for transforming the involved matrix equation into an equivalent eigenform. The method is constructive in the sense that it requires only multiplication and inversion of predefined matrices. Since the method can be described in terms of a series of simple rules, the underlying calculations can be automated and performed by means of symbolic manipulators. The method represents a systematic refinement of the work of Baghai-Wadji (1994).