Adaptive Phase-Locking Control for Coherent Beam Combination with Loop Delay via Single Detector Electronic Frequency Tagging

This paper investigates the underlying causes of phase-locking instability in coherent beam combination systems with loop delay that use Locking of Optical Coherence via Single-detector Electronic-frequency Tagging (LOCSET). It proposes an adaptive control method which is rigorously validated in simulation systems. In order to clarify the instability mechanisms of LOCSET phase-locking induced by loop delay, theoretical analysis is first carried out. Based on the analysis, a novel adaptive phase-locking control scheme is developed to counteract delay-induced performance degradation. A multi-channel coherent beam combination control framework is subsequently established and systematically evaluated using Adam optimization and genetic algorithm approaches, respectively. Simulation results demonstrate that the proposed scheme not only successfully mitigates loop delay effects but also highlights Adam's superior convergence properties and scalability for large-scale coherent beam combination systems.