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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 38, Iss. 19 — Oct. 1, 2013
  • pp: 3957–3960

Resolving spatial modes of lasers via matrix completion

Yuejie Chi and Betty Lise Anderson  »View Author Affiliations


Optics Letters, Vol. 38, Issue 19, pp. 3957-3960 (2013)
http://dx.doi.org/10.1364/OL.38.003957


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Abstract

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

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.4070) Coherence and statistical optics : Modes
(140.5960) Lasers and laser optics : Semiconductor lasers

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: July 10, 2013
Revised Manuscript: August 26, 2013
Manuscript Accepted: September 3, 2013
Published: September 30, 2013

Citation
Yuejie Chi and Betty Lise Anderson, "Resolving spatial modes of lasers via matrix completion," Opt. Lett. 38, 3957-3960 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-19-3957

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