We study optical analogs of two-dimensional (2D) Dirac solitons in square binary waveguide lattices with two different topologies in the presence of Kerr nonlinearity. These 2D solitons turn out to be quite robust. We demonstrate that with the found 2D solitons, the coupled mode equations governing light dynamics in square binary waveguide lattices can be converted into the nonlinear relativistic 2D Dirac equation with the four-component bispinor. This paves the way for using binary waveguide lattices as a classical simulator of quantum nonlinear effects arising from the 2D Dirac equation, something that is thought to be impossible to achieve in conventional (i.e., linear) quantum field theory
We analyze the stability of a recently found exact analytical spatial soliton in binary waveguide arrays-an analog of the relativistic Dirac soliton. We demonstrate that this soliton class is very robust. The soliton dynamics and different scenarios of soliton interactions are systematically investigated. (C) 2014 Optical Society of Americ
We report the switching behavior of a nonlinear optical coupler consisting of two straight waveguides forming a small angle. A very sharp switching can be obtained with these couplers. The switching power can be reduced up to two times compared to conventional couplers. The multiple switching can also happen at two and even more ranges of input powers. Because light switching is based on the optical Kerr effect, ultrafast switching is possible
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