Abstract

In this paper the theory of the unilateral inverse Fourier transform and the unilateral Hankel transform is developed. The consistency between each transform and its bilateral version leads to an approximate real-part sufficiency condition for complex-valued one-dimensional even signals and two-dimensional circularly symmetric signals. The two-dimensional result is used in a reconstruction algorithm that is applied to synthetic -and experimental underwater acoustic fields.

© 1987 Optical Society of America

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