Abstract The self-deflection of a bright solitary beam can be controlled by a dark solitary beam via a parametric coupling effect between the bright and dark solitary beams in a separate bright－dark spatial soliton pair supported by an unbiased series photorefractive crystal circuit. The spatial shift of the bright solitary beam centre as a function of the input intensity of the dark solitary beam ($\hat{\rho}$) is investigated by taking into account the higher-order space charge field in the dynamics of the bright solitary beam via both numerical and perturbation methods under steady-state conditions. The deflection amount ($\Delta s_0$), defined as the value of the spatial shift at the output surface of the crystal, is a monotonic and nonlinear function of $\hat{\rho}$. When $\hat{\rho}$ is weak or strong enough, $\Delta s_0$ is, in fact, unchanged with $\hat{\rho}$, whereas $\Delta s_0$ increases or decreases monotonically with $\hat{\rho}$ in a middle range of $\hat{\rho}$. The corresponding variation range ($\delta s$) depends strongly on the value of the input intensity of the bright solitary beam (r). There are some peak and valley values in the curve of $\delta s$ versus r under some conditions. When $\hat{\rho}$ increases, the bright solitary beam can scan toward both the direction same as and opposite to the crystal's c-axis. Whether the direction is the same as or opposite to the c-axis depends on the parameter values and configuration of the crystal circuit, as well as the value of $r$. Some potential applications are discussed.
Received: 03 January 2003
Revised: 20 May 2003
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10174025) and the Key Project Foundation of the Education Ministry of China (Grant No 01118).
Cite this article:
Liu Jin-Song (刘劲松), Hao Zhong-Hua (郝中华) Self-deflection of a bright soliton in a separate bright－dark spatial soliton pair based on a higher-order space charge field 2003 Chinese Physics 12 1124
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