The effect of stochastic interferences on the acoustic holographic imagery of objects

The effect of an inhomogeneous medium in acoustic holographic imagery is studied by considering static isotropic-, time- and localized-fluctuations in the basic diffraction index. The wave equation at homogeneous propagation is considered to be the Helmholtz type and the phase velocity an accidental variable. An approximation method for the wave equation is selected that represents noise effects in acoustic pressure waves propagating from a point source by multiplication with log normal variables. The inhomogeneous propagation of the reconstructed image is determined for: (1) a source dependent reference wave; (2) a locally synthesized reference wave; (3) Fourier transformation holography; and (4) conventional imagery with monochromatic waves.