Simplified sensitivity analysis of coherent beam combining in a tiled aperture architecture

We propose a simple analytical–numerical model for simplified sensitivity analysis of coherent beam combining of several dozens of emitters arranged in 2D tiled architecture. The main findings are as follows: (i) regarding phase/piston error, the performance does not depend on the number of emitters and particular amplitude profiles and fulfills the Maréchal formula; (ii) regarding tilt mismatch, the performance does not depend on the number of emitters; however, the effect of amplitude profile has to be taken into account; and (iii), regarding wavefront aberration, the Strehl ratio drop is dominant and fulfills the Maréchal formula as well.