Sheng, YanRoppo, VitoKong, QianKalinowski, KsaweryWang, QiCojocaru, CrinaTrull, JoseKrolikowski, Wieslaw2016-04-212016-04-210146-9592http://hdl.handle.net/1885/101088We investigate theoretically the Čerenkov-type second-harmonic generation in two-dimensional bulk nonlinear photonic crystal with longitudinal modulation of the 𝜒(2) nonlinearity. We show that in this scheme the Čerenkov radiation can be achieved simultaneously at multiple directions with comparable intensities. The angles of emission are controllable by the spatial modulation of the nonlinearity. We propose a design of the periodically poled domain pattern, which maximizes the efficiency of the second-harmonic emission.The authors acknowledge the Australian Research Council for financial support. V. Roppo thanks Army Research Office (W911NF-10-2-0105) for the partial financial support.© 2011 Optical Society of America. Publisher permission to archive the version was granted via email on 13/05/2015Keywords: Non-Linearity; Nonlinear photonic crystals; Periodically poled; Second-harmonic emission; Spatial modulations; Harmonic generation; Photonic crystals; Harmonic analysis201110.1364/OL.36.0025932016-06-14