Revisiting the boundary conditions for second-harmonic generation at metal-dielectric interfaces

K. Nireekshan Reddy, Parry Y. Chen, Antonio I. Fernández-Domínguez, Yonatan Sivan

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We study second-harmonic generation arising from surface nonlinearity at a metal-dielectric interface using a spectral decomposition method. 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 (E2ω ) for a general geometry, based on a purely mathematical argument. 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. We also study and explain the spectral dependence of the discontinuity of the tangential component of the electric field at second harmonic. Finally, we note that the default settings of the commercial numerical package COMSOL Multiphysics fail to account for the E2ω -discontinuity. We provide a simple recipe that corrects the boundary condition within these existing settings.

Original languageEnglish
Pages (from-to)1824-1832
Number of pages9
JournalJournal of the Optical Society of America B: Optical Physics
Volume34
Issue number9
DOIs
StatePublished - 1 Sep 2017

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