Numerical simulation of coherent summation of laser beams in the presence of non-idealities in the dipole focusing system

A programming library was developed, based on Stratton-Chu diffraction integrals for calculating reflected optical fields. Dipole-type focusing schemes with tunable number of beams and mirror placements were studied, considering the influence of phase distortion and aberrations. The intensity above $3\times {10}^{26}$ W/cm${}^2$ was found theoretically attainable in a system of 12 beams of 50 PW each with about 90 % of that value realistically achievable.