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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 21 — Oct. 21, 2013
  • pp: 25045–25055

Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control

Chao Geng, Wen Luo, Yi Tan, Hongmei Liu, Jinbo Mu, and Xinyang Li  »View Author Affiliations


Optics Express, Vol. 21, Issue 21, pp. 25045-25055 (2013)
http://dx.doi.org/10.1364/OE.21.025045


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Abstract

A novel approach of tip/tilt control by using divergence cost function in stochastic parallel gradient descent (SPGD) algorithm for coherent beam combining (CBC) is proposed and demonstrated experimentally in a seven-channel 2-W fiber amplifier array with both phase-locking and tip/tilt control, for the first time to our best knowledge. Compared with the conventional power-in-the-bucket (PIB) cost function for SPGD optimization, the tip/tilt control using divergence cost function ensures wider correction range, automatic switching control of program, and freedom of camera’s intensity-saturation. Homemade piezoelectric-ring phase-modulator (PZT PM) and adaptive fiber-optics collimator (AFOC) are developed to correct piston- and tip/tilt-type aberrations, respectively. The PIB cost function is employed for phase-locking via maximization of SPGD optimization, while the divergence cost function is used for tip/tilt control via minimization. An average of 432-μrad of divergence metrics in open loop has decreased to 89-μrad when tip/tilt control implemented. In CBC, the power in the full width at half maximum (FWHM) of the main lobe increases by 32 times, and the phase residual error is less than λ/15.

© 2013 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(140.3290) Lasers and laser optics : Laser arrays
(140.3298) Lasers and laser optics : Laser beam combining

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: August 13, 2013
Revised Manuscript: September 28, 2013
Manuscript Accepted: September 30, 2013
Published: October 14, 2013

Citation
Chao Geng, Wen Luo, Yi Tan, Hongmei Liu, Jinbo Mu, and Xinyang Li, "Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control," Opt. Express 21, 25045-25055 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-21-25045


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