## Measurement of thermo-elastic deformation of an optic using a polarization-based shearing interferometer |

Applied Optics, Vol. 51, Issue 31, pp. 7426-7433 (2012)

http://dx.doi.org/10.1364/AO.51.007426

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### Abstract

A shearing interferometer is presented that uses polarization control to shear the wavefront and to modulate the interference pattern. The shear is generated by spatial walk-off in a birefringent crystal. By adjusting the orientation of the birefringent crystal, the components of the wavefront gradient can be independently measured to allow determination of the full wavefront vector gradient as well as reconstruction of the wavefront. Further, the monolithic nature of the crystal used for shearing allows the interferometer to be set up without need for precise alignment of any components. An algorithm incorporating homodyne detection is presented, which analyzes the modulated interferograms to determine the components of the wavefront gradient, from which the wavefront is reconstructed. The thermal deformation of a mirror subject to heating from absorption of a Gaussian pump beam was accurately observed with a sensitivity better than

© 2012 Optical Society of America

**OCIS Codes**

(100.0100) Image processing : Image processing

(100.2650) Image processing : Fringe analysis

(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology

(120.2920) Instrumentation, measurement, and metrology : Homodyning

(120.3180) Instrumentation, measurement, and metrology : Interferometry

**ToC Category:**

Instrumentation, Measurement, and Metrology

**History**

Original Manuscript: August 14, 2012

Manuscript Accepted: September 25, 2012

Published: October 22, 2012

**Citation**

Peter Beyersdorf and Mark Cordier, "Measurement of thermo-elastic deformation of an optic using a polarization-based shearing interferometer," Appl. Opt. **51**, 7426-7433 (2012)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-31-7426

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