Transmission matrix-based phase correction for optical systems.

The demands in fields such as biology and communications are driving the development of structured light. However, the optical modulation devices which play an important role in generating structured light, often introduce phase distortion. Additional phase correction is required to obtain more precise modulation capabilities. In this Letter, we propose a transmission matrix (TM)-based phase correction method. With the measured TM, which establishes a link between the spatial light modulator (SLM) panel and the far-field distribution of the output, we can obtain the phase modulation achieving the ideal focus. The spatial distribution of the phase distortion can be extracted from the conjugate of this phase distribution. In our experiment, the sharpness metric of the focus dropped to about half. We further verified the availability of this method by correcting the phase distortion of Laguerre-Gaussian (LG) fields. We believe our method provides a simple way to achieve precise phase correction, which will be of interest in aspects of wavefront shaping and optical tweezers.