Correction optical elements for coherent beam combining systems and systems and methods for coherent beam combining using same

A correction optical element (COE) for a multi-channeled coherent beam combining (CBC) system that uses a fiber array comprising multiple optical fibers and a single collimation array comprising multiple collimating lenses, for coherent combining of a corresponding array of optical beams directed through the fiber array. The COE is configured for customized and segmented correction of collimation-based optical aberrations, caused at least due to misalignments between each corresponding optical fiber's Lij output end and a center of a corresponding collimating lens Lij.