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Speckle photography : mixed domain fractional Fourier motion detection

2006-01-01, Patten, Robert, Hennelly, Bryan M., Kelly, Damien P., O'Neill, Feidhlim T., Liu, Ying, Sheridan, John T.

A reflection-based optical implementation of two simultaneous scale-invariant fractional Fourier transforms (FRTs) is used to develop a novel compact speckle photographic system. The system allows the independent determination of both surface tilting and in-plane translational motion from two sequential mixed domain images captured using a single camera

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Publication

Holographic interferometry and the fractional Fourier transformation

2000-04-01, Sheridan, John T., Patten, Robert

The fractional Fourier transform (FRT) is shown to be of potential use in analyzing the motion of a surface by use of holographic interferometry. The extra degree of freedom made available by the use of the FRT allows information regarding both translational and tilting motion to be obtained in an efficient manner.