RECONSTRUCTION OF A VIBRATING OBJECT FROM ITS TIME-AVERAGED IMAGE INTENSITIES BY THE USE OF EXPONENTIAL FILTERING

We consider the reconstruction of a complex-valued object that vibrate s in some out-of-plane modes. The reconstruction is based on the phase -retrieval method with the use of two intensity measurements: the two time-averaged image intensities of the object illuminated coherently, which are modulated in two Fourier-transform planes of the object by t he use of two filters with exponentially decaying transmittances that complement each other. We discuss the necessary condition of the vibra tion for the reconstruction method. Computer-simulated examples of ret rieving the phases of one-dimensional objects demonstrate that the rec onstruction of a sinusoidal-vibrating and a Gaussian random-vibrating object can be treated by this method. (C) 1996 Optical Society of Amer ica