We provide a simple recipe that corrects the boundary condition within these existing settings. Evaluating the Acoustic Field in the Exterior: Near- and Far-Field. Finally, we note that the default settings of the commercial numerical package COMSOL Multiphysics fail to account for the E ∥ 2 ω-discontinuity. We also study and explain the spectral dependence of the discontinuity of the tangential component of the electric field at second harmonic. Further, we reaffirm the standard convention of the implementation of this condition, namely, that the surface dipole source radiates as if placed outside the metal surface for arbitrary geometries. Since our method avoids the need to consider the generalized boundary condition across the metal-dielectric interface in the presence of a perpendicular surface source, we retrieve the known discontinuity of the tangential component of the electric field ( E ∥ 2 ω) for a general geometry, based on a purely mathematical argument. We study second-harmonic generation arising from surface nonlinearity at a metal-dielectric interface using a spectral decomposition method.
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