Bispectral holography

Abstract

In conventional holography, information at a hologram plane is obtained by taking the cross correlation between the signals at the points on the plane and a reference signal. In this paper we show that this information can also be obtained by using bispectral analyses of random signals detected at two points on the hologram plane, that is, the signal detected at a fixed point and the signal detected at scanning points on the same plane. The method, which uses this hologram and a conventional reconstrucion process and is named bispectral holography, has two special features: (i) it is completely free from additive Gaussian noises of any power spectra, and (ii) random signals, which have non-Gaussian properties, can be used as the object illuminating signals. These properties may extend the application of holographic techniques. The theoretical aspects and some discussion of the method are presented.