Reconstruction of three-dimensional refractive index fields from multidirectional interferometric data

Applied Optics
D W Sweeney, C M Vest

Abstract

Numerical and analytical techniques are presented that allow three-dimensional, asymmetric, refractive index fields to be reconstructed from optical pathlength measurements, which can be obtained using multidirectional holographic interferometry. Analytical reconstruction techniques that have been used in radioaptronomy and electron microscopy for a number of years, and recently in interferometry, are presented in the context of interferometric applications in the refractionless limit. These techniques require that optical pathlength data be collected over a 180 degrees angle of view. The required pathlength sampling rate is discussed. An efficient numerical procedure is developed for direct inversion of the data. Several numerical techniques are developed that do not require that data be collected over a full 180 degrees angle of view. All such techniques require redundant data to achieve accurate reconstructions. The required degree of redundancy increases as the angle of view decreases. Numerical simulations using six different reconstruction techniques indicate that with a 180 degrees angle of view, all are capable of providing accurate reconstructions. Four of the techniques were used to analyze simulated interferometric d...Continue Reading

References

Apr 1, 1972·Journal of the Optical Society of America·B R Frieden
Sep 1, 1971·Proceedings of the National Academy of Sciences of the United States of America·G N Ramachandran, A V Lakshminarayanan

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Citations

Apr 3, 2009·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Yang SongZhimin Zhao
Dec 4, 2009·Applied Optics·Shan Shan Kou, Colin J R Sheppard
Oct 1, 1988·Applied Optics·M Ravichandran, F C Gouldin
Mar 12, 2009·Applied Optics·Hamdy H Wahba, Thomas Kreis
Jun 1, 1977·Applied Optics·G Kowalski
Jul 21, 2004·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Xiong WanJianglin Yi
May 1, 1985·Optics Letters·S Darenfed, P V Farrell
Mar 15, 2016·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Di Lin, James R Leger
Sep 15, 2015·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Di LinJames R Leger

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