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Analytical and numerical models of particle motion in the time-of-flight and the Thomson parabola mass-spectrometers, taking into account the edge effects of magnetic and electric fields, are presented and compared. We show that these edge effects introduce significant distortions in particle’s trajectories. Optimal parameters of the Thomson parabola mass spectrometer were determined using numerical simulations, and the spectrometer with corresponding parameters was assembled. Experimental results on relativistic laser-plasma interactions of femtosecond laser pulse (Ti:Sapphire, wavelength — 800 nm, pulse duration — 45 fs, maximum intensity on target — 4 1018 W/cm2) with the front surface of a dense target are presented. Experiments with low and high contrast laser pulses are compared with the results of numerical simulations using the developed models of mass-spectrometers.