D’Aguanno, G.Centini, M.Sibilia, C.Bertolotti, M.Scalora, M.Bloemer, M. J.Bowden, C. M.2020-05-202020-05-201999D’Aguanno, G.; et al.; Enhancement of χ⁽²⁾ cascading processes in one-dimensional photonic bandgap structures; Optics Letters Vol. 24, Issue 23, pp. 1663-1665 (1999); https://www.osapublishing.org/ol/abstract.cfm?uri=ol-24-23-1663https://doi.org/10.1364/OL.24.001663http://hdl.handle.net/11603/18687We theoretically analyze the nonlinear phase shifts induced by cascaded χ⁽²⁾:χ⁽²⁾ processes in one-dimensional photonic bandgap structures. We find that the enhancement of the density of modes near the band edge, coupled with a suitable choice of relative phase mismatch, leads to a remarkable new effect: The relative phase shift of the fundamental field on transmission can be of the order of 𝜋 over a distance of 7 µm, with input intensities of the order of only3 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Public Domain Mark 1.0This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.Text