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Photonic Quasicrystals for Nonlinear Optical Frequency Conversion Ron Lifshitz*

Summary: Photonic Quasicrystals for Nonlinear Optical Frequency Conversion
Ron Lifshitz*
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
Ady Arie and Alon Bahabad
School of Electrical Engineering, Wolfson Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
(Received 3 December 2004; published 21 September 2005)
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 ! and whose output consists of the second, third, and fourth
harmonics of !, each in a different spatial direction.
DOI: 10.1103/PhysRevLett.95.133901 PACS numbers: 42.70.Qs, 42.65.Ky, 42.70.Mp, 42.79.Nv
The problem of phase matching in the interaction of
light waves in nonlinear dielectrics became immediately
evident as the first theories describing such interaction
were developed [1]. Put simply, nonlinear interaction is
severely constrained in dispersive materials because the
interacting photons must conserve their total energy and


Source: Arie, Ady - Department of Electrical Engineering-Physical Electronics, Tel Aviv University


Collections: Engineering