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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 22 — Oct. 26, 2009
  • pp: 19551–19565

Phasing rectangular apertures

K. L. Baker, D. Homoelle, E. Utterback, and S. M. Jones  »View Author Affiliations

Optics Express, Vol. 17, Issue 22, pp. 19551-19565 (2009)

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Several techniques have been developed to phase apertures in the context of astronomical telescopes with segmented mirrors. Phasing multiple apertures, however, is important in a wide range of optical applications. The application of primary interest in this paper is the phasing of multiple short pulse laser beams for fast ignition fusion experiments. In this paper analytic expressions are derived for parameters such as the far-field distribution, a line-integrated form of the far-field distribution that could be fit to measured data, enclosed energy or energy-in-a-bucket and center-of-mass that can then be used to phase two rectangular apertures. Experimental data is taken with a MEMS device to simulate the two apertures and comparisons are made between the analytic parameters and those derived from the measurements. Two methods, fitting the measured far-field distribution to the theoretical distribution and measuring the ensquared energy in the far-field, produced overall phase variance between the 100 measurements of less than 0.005 rad2 or an RMS displacement of less than 12 nm.

© 2009 OSA

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: July 6, 2009
Revised Manuscript: September 4, 2009
Manuscript Accepted: September 10, 2009
Published: October 14, 2009

K. L. Baker, D. Homoelle, E. Utterback, and S. M. Jones, "Phasing rectangular apertures," Opt. Express 17, 19551-19565 (2009)

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