Hidden phase approaches in recovering images from coherently illuminated objects

William W. Arrasmith

doi:10.1117/12.363623

5 October 1999 Hidden phase approaches in recovering images from coherently illuminated objects

William W. Arrasmith

Proceedings Volume 3763, Propagation and Imaging through the Atmosphere III; (1999) https://doi.org/10.1117/12.363623
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

Phase differences on a sampled grid in the pupil plane of a coherent imaging system are used in conjunction with a hidden phase approach to estimate images of coherently illuminated objects in the presence of additive Gaussian noise. The imaging system is located in the far-field with respect to the illuminated objects. Conventional least squares and minimum variance image reconstruction approaches are shown to fail because of the presence of point discontinuities in the far-field speckle pattern. Conventional phase reconstruction techniques can not properly sense the phase effects resulting from these point discontinuities or branch points. However, these conventional image reconstruction techniques can be made to work with the addition of a hidden phase term that accounts for the phase effects resulting from the branch points. The hidden phase term is added to the results of both the least squares and minimum variance phase reconstructors and the addition of the hidden phase term is shown to successfully recover the images of several types of extended objects.

Citation Download Citation

William W. Arrasmith "Hidden phase approaches in recovering images from coherently illuminated objects", Proc. SPIE 3763, Propagation and Imaging through the Atmosphere III, (5 October 1999); https://doi.org/10.1117/12.363623

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