Solving wave propagation within finite-sized composite media with linear embedding via Green's operators

The calculation of electromagnetic (EM) flelds and waves inside flnite-sized structures comprised of difierent media can beneflt from a diakoptics method such as linear embedding via Green's oper- ators (LEGO). Unlike scattering problems, the excitation of EM waves within the bulk dielectric requires introducing sources inside the struc- ture itself. To handle such occurrence, we have expanded the set of LEGO sub-domains | employed to formulate an EM problem | to deal with the inclusion of elementary sources. The corresponding sub- domains (bricks) play the role of \generators" in the equivalent model. Moreover, if a source is \turned ofi", as it were, the enclosing brick can be utilized as a numerical \probe" to sample the EM fleld. In this paper, we present the integral equations of LEGO modifled so as to accommodate generator/probe bricks. Numerical results are provided which demonstrate the validity and the e-ciency of the approach.

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