Abbreviated Journal Title
Phys. Rev. E
SOLITONS; EXCITATION; LATTICES; Physics, Fluids & Plasmas; Physics, Mathematical
A model describing wave propagation in optically modulated waveguide arrays is proposed. In the weakly guided regime, a two-dimensional semidiscrete nonlinear Schrodinger equation with the addition of a bulk diffraction term and an external "optical trap" is derived from first principles, i.e., Maxwell equations. When the nonlinearity is of the defocusing type, a family of unstaggered localized modes are numerically constructed. It is shown that the equation with an induced potential is well-posed and gives rise to localized dynamically stable nonlinear modes. The derived model is of the Gross-Pitaevskii type, a nonlinear Schrodinger equation with a linear optical potential, which also models Bose-Einstein condensates in a magnetic trap.
Physical Review E
Ablowitz, Mark J.; Julien, Keith; Musslimani, Ziad H.; and Weinstein, Michael I., "Wave dynamics in optically modulated waveguide arrays" (2005). Faculty Bibliography 2000s. 4936.