Spherical Vector Waves
There is a special interest in finding solutions of the Maxwell equations in source-free, homogeneous, isotropic materials in the spherical coordinate system (r, 8, φ). The reason this is at least twofold: (1) we aim at developing efficient tools to solve scattering problems with spherical symmetries, and (2) outside the circumscribed sphere of the scatterer, the are naturally expanded in vector waves with spherical symmetries-we have already Chapter 4 that the scattered field in the far zone is a spherical wave. For these reasons, study solutions to the source-free Maxwell equations.
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