A novel algorithm that can reconstruct a symmetrical signal (both the amplitude and the phase information) with only a single Fresnel transform intensity is proposed. A new complex-convolution method is introduced, which is needed in the algorithm. The essential properties of the discrete Fresnel transform are presented as well. Numerical results show
that this method can successfully rebuild the signal from one signal intensity, which is more advantageous in speed and efficiency than the conventional method that requires two intensities to accomplish this task.
© 2007 Optical Society of America
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