Paper
31 October 1997 New technique for reconstruction of a complex wave field by means of measurement of three-dimensional intensity
Jinhong Tu, Shinichi Tamura
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Abstract
In this paper a new method for 2D complex wave reconstruction is developed by measurement of 3D intensity in a first order optical system under partially coherent illumination. The system includes two cylindrical lenses oriented along two perpendicular axes in a plane perpendicular to the propagation axis. When the parameters of the 2D lens system are set to satisfy the conditions of fractional Fourier transform independently in both dimensions, the input complex wave can be determined by measurements of intensities in a set of planes, and the mutual intensity is calculated through integrals of distributional coordinates and the fractional orders of fractional Fourier transform. As a result, the case of partially coherent illumination of Gaussian Schell-model is studied. In the numerical simulation it is found that phase structure in the input planes might be retrieved by this method in this system. The approach may provide an alternative way of recovering the phase object.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jinhong Tu and Shinichi Tamura "New technique for reconstruction of a complex wave field by means of measurement of three-dimensional intensity", Proc. SPIE 3170, Image Reconstruction and Restoration II, (31 October 1997); https://doi.org/10.1117/12.279709
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Cited by 1 scholarly publication.
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KEYWORDS
3D metrology

Fractional fourier transform

Cylindrical lenses

Numerical simulations

Wave propagation

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