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A field decomposition of Maxwell's equations for uniaxial hyperbolic media based on the 2D Helmholtz theorem is provided. This decomposition is particularly useful since it produces TE and TM field sets that are orthogonal and allows for identification of two independent scalar potential formulations. It is shown that these formulations provide substantial mathematical simplification, enhanced physical...
A four-vector field based formulation that is suitable for a special class of bianisotropic media is presented. The well known six-vector field based formulation is also reviewed for the sake of comparison. Advantages and drawbacks of the six and four-vector formalisms are discussed and the applicability to various material tensor forms is highlighted. It is shown that, when applicable, the four-vector...
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