Nanometric displacement measurement using phase singularities in Laguerre-Gauss transform of speckle pattern

Wei Wang; Tomoaki Yokozeki; Reika Ishijima; Steen G. Hanson; Mitsuo Takeda

doi:10.1117/12.681307

14 August 2006 Nanometric displacement measurement using phase singularities in Laguerre-Gauss transform of speckle pattern

Wei Wang, Tomoaki Yokozeki, Reika Ishijima, Steen G. Hanson, Mitsuo Takeda

Author Affiliations +

Proceedings Volume 6292, Interferometry XIII: Techniques and Analysis; 62920X (2006) https://doi.org/10.1117/12.681307
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

Contrary to the common belief of optical metrology, where the phase singularities are considered as obstacles in phase unwrapping, we propose a new technique that makes use of phase singularities in the complex signal representation of a speckle pattern as indicators of local speckle displacements. The complex signal representation is generated by Laguerre-Gauss filtering the dynamic speckle patterns. Experimental results are presented that demonstrate the validity and the performance of the proposed optical vortex metrology for lateral speckle displacement measurement with a large dynamic range.

Citation Download Citation

Wei Wang, Tomoaki Yokozeki, Reika Ishijima, Steen G. Hanson, and Mitsuo Takeda "Nanometric displacement measurement using phase singularities in Laguerre-Gauss transform of speckle pattern", Proc. SPIE 6292, Interferometry XIII: Techniques and Analysis, 62920X (14 August 2006); https://doi.org/10.1117/12.681307

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