Abstract
A surface integral equation (SIE) method is applied in order to analyze electromagnetic scattering by bounded arbitrarily shaped three-dimensional objects with the SHDB boundary condition. SHDB is a generalization of SH (Soft-and-Hard) and DB boundary conditions (at the DB boundary, the normal components of the D and B flux densities vanish). The SHDB boundary condition is a general linear boundary condition that contains two scalar equations that involve both the tangential and normal components of the electromagnetic fields. The multiplication of these scalar equations with two orthogonal vectors transforms them into a vector form that can be combined with the tangential field integral equations. The resulting equations are discretized and converted to a matrix equation with standard method of moments (MoM). As an example of use of the method, we investigate scattering by an SHDB circular disk and demonstrate that the SHDB boundary allows for an efficient way to control the polarization of the wave that is reflected from the surface. We also discuss perspectives into different levels of materialization and realization of SHDB boundaries.
Highlights
Boundary conditions are very useful models for defining the field behavior on the boundary of an object
As an example of use of the method, we investigate scattering by an SHDB circular disk and demonstrate that the SHDB boundary allows for an efficient way to control the polarization of the wave that is reflected from the surface
A surface integral equation (SIE) method is presented for electromagnetic scattering by arbitrarily shaped three-dimensional objects with the Soft-and-Hard/DB (SHDB) boundary condition
Summary
Boundary conditions are very useful models for defining the field behavior on the boundary of an object. The so-called Soft-and-Hard (SH) boundary [2], and generalized SH (GSH) boundary [3], are special cases of the IBC, as well as the perfect electromagnetic conductor (PEMC) [4] All of these boundary conditions are expressed in terms of the tangential field components. IBC [9,10], as well as for DB [11], SH [12], and GSH [13] boundary conditions In all of these cases, the boundary condition contains either the tangential or normal field components, but not both. It can be seen as a generalization of the DB and SH conditions [15] To our knowledge, this is the first numerical method that has been developed for an electromagnetic boundary condition involving both the tangential and normal field components. We conclude the analysis with a discussion on the possible avenues for realizing an SHDB boundary
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