Quadrature detection techniques have been applied to images obtained from a Mach-Zehnder interferometer with differently polarized beams to yield the real and the imaginary parts of the diffracted fields simultaneously. This approach eliminates the need for phase retrieval by providing complete information on the complex amplitude of the diffracted signal. We present results in which we demonstrate our ability to reconstruct two- and three-dimensional microscopic objects from their complex diffraction patterns.

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We have employed a quadrature detection technique to measure theDoppler signal from a moving target. We mix a circularly polarizedreference with a linearly polarized signal to produce an output thatcontains the real and the imaginary parts of the interference field inthe two output polarizations. We are thus able to measure thein-phase and the quadrature components of an interferometric signalsimultaneously by splitting the output with a polarizing beamsplitter. We present data that demonstrate our ability through thistechnique to obtain both the amplitude and the frequency of vibrationof an audio speaker. We also demonstrate the technique's abilityto give one access to the direction of motion and instantaneousposition of the target.

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