title: Photonic quasicrystals for nonlinear optical frequency conversion.
abstract: We present a general method for the design of 2-dimensional nonlinear photonic quasicrystals that can be utilized for the simultaneous phase matching of arbitrary optical frequency-conversion processes. The proposed scheme--based on the generalized dual-grid method that is used for constructing tiling models of quasicrystals--gives complete design flexibility, removing any constraints imposed by previous approaches. As an example we demonstrate the design of a color fan--a nonlinear photonic quasicrystal whose input is a single wave at frequency omega and whose output consists of the second, third, and fourth harmonics of omega, each in a different spatial direction.
authors.affiliation: School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel. ronlif@tau.ac.il
authors.forename: Ron
authors.initials: R
authors.lastname: Lifshitz
authors.forename: Ady
authors.initials: A
authors.lastname: Arie
authors.forename: Alon
authors.initials: A
authors.lastname: Bahabad