Pre-correction of distorted Bessel–Gauss beams without wavefront detection

By utilizing the property of the phase’s rapid solution of the Gerchberg–Saxton algorithm, we experimentally demonstrate a scheme to correct distorted Bessel–Gauss beams resulting from inhomogeneous media as weak turbulent atmosphere with good performance. A probe Gaussian beam is employed and propagates coaxially with the Bessel–Gauss modes through the turbulence. No wavefront sensor but a matrix detector is used to capture the probe Gaussian beams, and then, the correction phase mask is computed through inputting such probe beam into the Gerchberg–Saxton algorithm. The experimental results indicate that both single and multiplexed BG beams can be corrected well, in terms of the improvement in mode purity and the mitigation of interchannel cross talk.