Decomposition of electromagnetic boundary conditions at planarinterfaces with applications to TE and TM field solutions |
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Authors: | Weiss S.J. Kahn W.K. |
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Affiliation: | LABCOM, US Army, Adelphi, MD; |
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Abstract: | Electromagnetic fields in homogeneous source-free regions can be decomposed into fields that are TE and TM with respect to a particular reference direction (e.g., the z direction). If transverse sources exist, both TE and TM fields may be excited simultaneously. This paper considers the case of two infinite regions having a common planar interface and prescribed sources (surface currents) on the interface. The source currents are decomposed in a manner consistent with the decomposition of the fields. Accordingly, a procedure is established for describing the boundary conditions at the interface in terms of the longitudinal field components Ez, Hz and the surface currents J¯s. The development is unique in that the continuity of the transverse field components at the boundary are not explicitly considered but interpreted in terms of z-directed fields. This boundary condition approach is shown to give results consistent with those obtained by matching the tangential fields at the interface using vector transforms. A simple example illustrating the procedure using a ring of current in free-space is presented |
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