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A method is proposed for extracting ionization amplitudes from the solutionof the time-dependent Schr\"odinger equation (TDSE) describing a system in atime-dependent external field. The method is a hybrid of two earlier developedmethods, the time-dependent surface flux (t-SURFF) method and the method usingthe propagated wavepacket as the source term in a time-independent drivenSchr\"odinger equation with the field-free Hamiltonian. It is demonstrated thatthe method combines the advantages of the parent ones and allows the extractionof ionization amplitudes by solving the TDSE within a small spatial domain(with the boundary conditions provided by exterior complex scaling) and a timeinterval, not exceeding the external field pulse duration.

The hybrid surface flux method for the ionization amplitude extraction from the calculated wavefunction