Nonlinear photonic crystals near the supercollimation point.
We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schrödinger-type equation in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios.
Xu
Zhiyong
Z
Department of Physics, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. xzy124@rsphysse.anu.edu.au
Maes
Björn
B
Jiang
Xunya
X
Joannopoulos
John D
JD
Torner
Lluis
L
Soljacić
Marin
M