title: Schmidt decompositions of parametric processes II: vector four-wave mixing.
abstract: In vector four-wave mixing, one or two strong pump waves drive two weak signal and idler waves, each of which has two polarization components. In this paper, vector four-wave mixing processes in a randomly-birefringent fiber (modulation interaction, phase conjugation and Bragg scattering) are studied in detail. For each process, the Schmidt decompositions of the coupling matrices facilitate the solution of the signal-idler equations and the Schmidt decomposition of the associated transfer matrix. The results of this paper are valid for arbitrary pump polarizations.
authors.affiliation: Bell Laboratories, Alcatel–Lucent, Holmdel, New Jersey 07733, USA. mckinstrie@alcatel-lucent.com
authors.forename: C J
authors.initials: CJ
authors.lastname: McKinstrie
authors.forename: J R
authors.initials: JR
authors.lastname: Ott
authors.forename: M
authors.initials: M
authors.lastname: Karlsson
mesh_terms: D000465:Algorithms; D000669:Amplifiers, Electronic; D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods*; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation