We explain a technique that recovers the structure and the modal weights of spatial modes of lasers from a limited number of spatial coherence measurements. Our approach interpolates the unobserved spatial coherence measurements via the low-rank matrix completion algorithm based on nuclear norm minimization and then extracts the set of modes via singular value decomposition. Numerical examples are provided on a variety of lasers to demonstrate the effectiveness of the method, and it is shown that the proposed method can further reduce the number of measurements by a factor of 2 for a moderate data size.
© 2013 Optical Society of America
Coherence and Statistical Optics
Original Manuscript: July 10, 2013
Revised Manuscript: August 26, 2013
Manuscript Accepted: September 3, 2013
Published: September 30, 2013
Yuejie Chi and Betty Lise Anderson, "Resolving spatial modes of lasers via matrix completion," Opt. Lett. 38, 3957-3960 (2013)