Single-shot digital holography by use of the fractional Talbot effect

We present a method for recording in-line single-shot digital holograms based on the fractional Talbot effect. In our system, an image sensor records the interference between the light field scattered by the object and a properly codified parallel reference beam. A simple binary two-dimensional periodic grating is used to codify the reference beam generating a periodic three-step phase distribution over the sensor plane by fractional Talbot effect. This provides a method to perform single-shot phase-shifting interferometry at frame rates only limited by the sensor capabilities. Our technique is well adapted for dynamic wavefront sensing applications. Images of the object are digitally reconstructed from the digital hologram. Both computer simulations and experimental results are presente

Interferometric measurement of an axi-symmetric density field

We have used Fourier transform techniques and an Abel deconvolution to analyse a finite-fringe inter- ferogram produced by an axisymmetric shock wave flow, to produce a density map that can be used for the validation of a numerical model. The Abel deconvolution method enables the use of a basis that is particularly suitable for modeling phase maps produced by shock wave flows. A steady flow problem is studied, and compared with a numerical simulation. Good agreement between theoretical and experimental results are obtained

Overview of techniques applicable to self-interference incoherent digital holography

Self-interference incoherent digital holography (SIDH) retrieves the complex hologram from the object illuminated by the incoherent light. Supported by the adaptive optic feature, SIDH is readily applicable to the ocular imaging to investigate the human retinal cells. Considering the practical issues, issues related to resolution, phase-shifting, and contrast should be addressed to implement the viable SIDH system which is capable of recording the holographic information of human retinal cells under the incoherent illumination. Super resolution image reconstruction technique can be directly applied to SIDH to enhance the resolution of the system without any change of configuration. We present the improved way to incorporate the phase-shifting itself into the lateral shift required by the super resolution technique. To deal with the phase-shifting issue, we present an arbitrary phase shift retrieval algorithm which can reduce the number of phase-shift and accept the blind phase-shift. The single-shot imaging is also possible by adopting the off-axis configuration of SIDH. We will provide the detailed procedures to retrieve the complex hologram using the proposed arbitrary phase shifting algorithm and the off-axis configuration

Microscopic interferometer for surface roughness measurement

We describe a phase-shifting microscopic Mirau interferometer for measurement of surface roughness in which feedback control is implemented for shifter asymptotic adjustment. The actual height resolution of our instrument is of similar to 0.3 nm with a measurement accuracy of 0.5 nm. Comments on interferometer design, experimental examples, and error analysis are also given. (C) 1996 Society of Photo-Optical Instrumentation Engineers