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Based on the theory of one-dimensional separate soliton pairs formed in a serial photorefractive crystal circuit, the effects of the dark soliton on the self-deflection of the bright one in one separate bright-dark soliton pair are investigated by taking the diffusion term into account. The numerical results obtained by solving the nonlinear propagation equation show that the bright soliton moves on a parabolic trajectory in the crystal and its spatial shift changes with the input intensity of the dark soliton. These effects are further studied using perturbation analysis and the characteristics of the spatial shift of the bright soliton varying with the input maximum intensity of the dark soltion are analysed. The position of the bright soliton at the output surface of the crystal can be determined accurately according to the formula obtained from perturbation method. [ABSTRACT FROM AUTHOR]

We provide a comprehensive numerical investigation on the dynamical evolutions, stabilities, and self-deflections of both solitons in a separate dark–dark, bright–dark or bright–bright soliton pair supported by a series photorefractive crystal circuit. The effects of parametric coupling between the two solitons on the evolutions, stabilities and self-deflections of the two soliton are investigated. Results show that whether an optical beam can evolve into a stable solitary state in a crystal depends not only on the initial conditions of that optical beam, but also on the initial conditions of the other optical beam in the other crystal. Changing the input intensity of a dark soliton can affect the self-deflection of other solitons. Some potential applications of the controlled behavior through the dark soliton in the bright–dark soliton pair are discussed. [Copyright &y& Elsevier]

The self-deflection of a solitary wave arising from diffusion effects in a biased photovoltaic photorefractive crystal has been systematically investigated by employing numerical techniques. Adjusting both strength and polarity of the biased field can change the bending angle of the screening-photovoltaic (SP) soliton, and it is more effective by adjusting the polarity than by adjusting the strength. The stronger the input intensity is, the larger the bending angle is for a dark SP soliton, whereas the bending angle tends to decrease for very weak input intensity as well as for a very strong one, and has a larger value between these two regimes for a bright SP soliton. The dark SP soliton deflects left, whereas the bright one deflects right. The self-bending process of a SP soliton still occurs in a lossy crystal. If the input optical beam is a Gauss beam, whether it can evolve into a stable SP bright soliton or not in the crystal, it will bend with distance. [ABSTRACT FROM AUTHOR]