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A theoretical optimization method of high-harmonic-generation (HHG) isdeveloped in the framework of optimal-control-theory (OCT). The target ofoptimization is the emission radiation of a particular frequency. The OCTformulation includes restrictions on the frequency band of the driving pulse,the permanent ionization probability and the total energy of the driving pulse.The optimization task requires a highly accurate simulation of the dynamics.Absorbing boundary conditions are employed, where a complex-absorbing-potentialis constructed by an optimization scheme for maximization of the absorption. Anew highly accurate propagation scheme is employed, which can address explicittime dependence of the driving as well as a non-Hermitian Hamiltonian. Theoptimization process is performed by a second-order gradient scheme. The methodis applied to a simple one-dimensional model system. The results demonstrate asignificant enhancement of selected harmonics, with minimized total energy ofthe driving pulse and controlled permanent ionization probability. A successfulenhancement of an even harmonic emission is also demonstrated.

Optimization of high-order harmonic generation by optimal control theory: Ascending a functional landscape in extreme conditions