title: Schmidt decompositions of parametric processes III: simultaneous amplification and conversion.
abstract: Simultaneous parametric amplification and frequency conversion is a three-mode parametric process. In this paper, the three-mode equations are solved, and the adjoint (spectral) and Schmidt (singular value) decompositions of the associated transfer matrix are determined. The properties and uses of both decompositions are described briefly. These three-mode results show that Schmidt decompositions are fundamentally different from adjoint decompositions, and illustrate other important features of multiple-mode parametric processes.
authors.forename: C J
authors.initials: CJ
authors.lastname: McKinstrie