Centini, M.Scalora, M.Sibilia, C.D'Aguanno, G.Bertolotti, M.Bloemer, M. J.Bowden, C.M.2020-05-222020-05-222000-03-01Centini, M.; et al.; Dispersive properties of one-dimensional photonic band gap structures for second harmonic generation; Journal of Optics A: Pure and Applied Optics, Volume 2, Number 2 (2000); https://iopscience.iop.org/article/10.1088/1464-4258/2/2/309https://doi.org/10.1088/1464-4258/2/2/309http://hdl.handle.net/11603/18715We analyse the dispersive properties of one-dimensional photonic band gap structures, and discuss applications to phase matching conditions in the case of second harmonic generation. Band edge effects such as increased density of modes, large field enhancement, and low group velocity induce highly efficient parametric amplification, provided the proper phase matching conditions can be established. Direct integration of Maxwell's equations in the time domain confirms these conclusions, and shows that parametric amplification in one-dimensional photonic band gap structures provide much larger conversion efficiencies compared with ordinary quasi-phase-matching devices.7 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.http://creativecommons.org/publicdomain/mark/1.0/Text