Surface spontaneous parametric down-conversion
Jan Perina Jr, Antonin Luks, Ondrej Haderka, Michael Scalora

TL;DR
This paper predicts surface spontaneous parametric down-conversion arising from field continuity at nonlinear discontinuities, extending the spectral amplitude concept, with examples showing its significance in layered and periodically-poled structures.
Contribution
It introduces the concept of surface SPDC due to field continuity, generalizes the spectral amplitude, and highlights its importance in specific nonlinear structures.
Findings
Surface contributions can be significant in layered structures.
Generalized spectral amplitude describes surface SPDC.
Surface SPDC arises from field continuity at chi2 discontinuities.
Abstract
Surface spontaneous parametric down-conversion is predicted as a consequence of continuity requirements for electric- and magnetic-field amplitudes at a discontinuity of chi2 nonlinearity. A generalization of the usual two-photon spectral amplitude is suggested to describe this effect. Examples of nonlinear layered structures and periodically-poled nonlinear crystals show that surface contributions to spontaneous down-conversion can be important.
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