title: Theoretical study on the Cerenkov-type second-harmonic generation in optical superlattices without paraxial approximation.
abstract: In this paper, the Cerenkov-type second-harmonic generation in bulk optical superlattices has been studied theoretically with the non-paraxial wave equations, where the paraxial approximation is avoided. The corresponding phase-matching condition is determined strictly by solving the non-paraxial wave equations under proper boundary conditions, and the result coincides well with the traditional Cerenkov phase-matching condition. In addition, a backward Cerenkov phase-matching condition is deduced from the wave equations as well, and the physical requirement of this condition is clarified.
authors.forename: Yang-Yang
authors.initials: YY
authors.lastname: Yue
authors.forename: Han
authors.initials: H
authors.lastname: Xiao
authors.forename: Bo
authors.initials: B
authors.lastname: Yang
authors.forename: Rong-Er
authors.initials: RE
authors.lastname: Lu
authors.forename: Xu-Hao
authors.initials: XH
authors.lastname: Hong
authors.forename: Chao
authors.initials: C
authors.lastname: Zhang
authors.forename: Yi-Qiang
authors.initials: YQ
authors.lastname: Qin
authors.forename: Yong-Yuan
authors.initials: YY
authors.lastname: Zhu