title: Gap solitons and soliton trains in finite-sized two-dimensional periodic and quasiperiodic photonic crystals.
abstract: We demonstrate the existence of the gap solitons and soliton trains in finite-sized two-dimensional periodic nonlinear photonic crystals by using the mutiple-scattering approach with an iterative scheme. In 12-fold symmetric nonlinear quasicrystals, we also demonstrated the existence of symmetric, regular gap solitons, asymmetric single-soliton states, and two-solitons states. We revealed that the existence of symmetric, regular gap solitons in a 12-fold quasicrystal is limited by the geometrical size of the hexagon that forms the core of the dodecahedral cell, which is the building block of the quasicrystal.
authors.affiliation: Department of Physics and Institute of Nano Science and Technology (INST), The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China.
authors.forename: Ping
authors.initials: P
authors.lastname: Xie
authors.forename: Zhao-Qing
authors.initials: ZQ
authors.lastname: Zhang
authors.forename: Xiangdong
authors.initials: X
authors.lastname: Zhang