The novel idea of electronic control of all-optical operations is proposed in this work. The nonlinear wave equations that govern the soliton beam propagation in the third-order nonlinear medium under the external applied electric field and including the material loss effect are derived. Split-step Fourier Method is used to numerically solve the equations. The soliton trapping along the slow optical axis is realized by a planar waveguide filled with silicon nanocrystal, which has a high third-order nonlinearity and weak absorption at the operation wavelength. The external field is applied along the fast optical axis of the waveguide.;Our simulation results demonstrated that power transfer from one polarization component of a (1+1)D vector spatial soliton to the other in an isotropic Kerr-like nonlinear medium can be controlled through the electro-optic effect by varying the externally applied electric field. Different relative initial amplitudes of the two linearly polarized fundamental components have been considered. It is shown that with certain initial conditions, a pure TE/TM polarization mode can be obtained at the fixed distance output by adjusting the electric field. Thus, it is possible to find diverse applications to electronically controllable all-optical operations. One of the possibilities as a mode converter in the digital signal modulation is proposed in this Thesis.;The effect of two-photon absorption (TPA) on soliton propagation is also studied. It is discovered that the split-up of the higher-order vector solitons due to TPA can be suppressed by adjusting the external electric field. The propagation distance considered is short enough such that both linear and nonlinear absorption do not affect the existence of the soliton.
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