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The exact solution of the boundary value problem for atom in external electromagnetic field is used to explain the specific features of the photoemission spectra, angular and energy photoelectron spectra at near-atomic laser field strength. The method of the analysis of this problem considers difference of “atom + field” object symmetry from the symmetry of free atom problem. Its foundation lies in an idea of usage as a basis for wave function decomposition not eigenfunctions of free atom problem, but eigenfunctions of “atom in the field” problem. Schrödinger equation for atom interacting with electromagnetic field is transformed to system of differential equations for the probability amplitudes. This system is solved numerically. Hamiltonian of the Schrödinger equation includes all powers of external field. Two types of atoms and three different sources of linearly polarized laser radiation are used in the research. Hydrogen atom interacts with laser wave, which photon energy is equal to 15.11 eV. Silver atom is irradiated by waves of Nd:YAG and Ti:Sapphire lasers. Amplitude, duration and energy of pulses vary in our numerical experiments. Breaking of traditional selection rules and stabilization ionization are found.