We show that a bright-field defocused microscope is effectively a phase-contrast microscope, but with advantages over the conventional one and maintaining the same optical resolution. In a multilayered transparent object, the height amplitude (static and dynamic) of each interface can be measured separately with nanometer sensitivity. By scanning the position of the objective focal plane in relation to the surfaces of a red blood cell, we obtain quantitative information on height fluctuations from each surface individually, which can be analyzed with our model of a defocused microscope and compared with theoretical models.
We show that single and multi-slit experiments involving matter waves may be constructed to assess correlations between the position and momentum of a single free particle. These correlations give rise to position dependent phases which develop dynamically and may play an important role in the interference patterns. For large enough transverse coherence length such interference patterns are noticeably different from those of a classical dispersion free wave.
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