Abstract <p>The paper investigates the generation of terahertz (THz) radiation during filamentation. A possibility of increasing the generation efficiency THz radiation in a single-color filamentation mode excited in air by laser beams with necklace amplitude profile is considered. A stationary model of THz radiation generation is suggested. It enables studying the dependence of conversion efficiency on the amplitude profiling of pump beams. It is shown that the partitioning of radiation over subapertures allows controlling the energy of THz radiation. The optimal class of gorget beams is found by a genetic algorithm. The results of this work are important for the development of technologies for remote generation of THz radiation in gaseous media.</p>