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Two-beam coupling within the field of nonlinear optics, which transfersenergy from one light beam to the other under certain conditions, has receivedconsiderable attention in inertial confinement fusion (ICF) and plasma optics.To evaluate the coupling dynamics precisely, we modeled this process withfull-wave coupled Schrodinger equations (CSEs) and a nonlinear refractiveindex. We found that the CSEs constituted a Hamiltonian system and proposed anarbitrary higher-order explicit symplectic algorithm to solve the CSEsnumerically. The numerical results given by the developed BEAM code showed agood agreement with those from particle-in-cell simulations, which demonstratedthe validity of the model and algorithm. The model and numerical algorithmpresented in this work can be extended to more nonlinear optical interactionsdescribed by coupled-wave equations.

Explicit high-order symplectic integrators of coupled Schrodinger equations for pump-probe systems