Gap solitons and soliton trains in finite-sized two-dimensional periodic and quasiperiodic photonic crystals
- 13 February 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 67 (2) , 026607
- https://doi.org/10.1103/physreve.67.026607
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.Keywords
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