• Corpus ID: 53690961

Interferometry mathematics , algorithms , and data

  title={Interferometry mathematics , algorithms , and data},
  author={Michael Peck},
In general I’m not going to derive mathematical results in too much detail, nor will algorithms be described at length. This is also not intended to be a comprehensive literature survey. Malacara (1992) has extensive literature references, although it is somewhat dated by now . The material in chapters 13 and 14 are the most relevant to this article. Another good and more recent bibliographic reference is Larkin (2001), which is available online at opticsinfobase.org and also contains some… 
Interferometric calibration of a deformable mirror
This tutorial discusses the static calibration of a deformable mirror using a Twyman–Green interferometer setup, combined with single-frame fringe analysis for phase extraction. We provide a
Snapshot coherence-gated direct wavefront sensing for multi-photon microscopy.
This work presents a wavefront sensing scheme for multi-photon scanning microscopes using the pulsed, near-infrared light reflected back from the sample utilising coherence gating and a confocal pinhole to isolate the light from a layer of interest.
The Use Of Digital Interferometry Devices To Analyze The State Of Red Blood Cell Membranes
The authors were able to obtain additional diagnostic features for morphological changes in red blood cells, which improves the quality of diagnosis of particularly complex pathological changes caused by pathogenic processes, including viral infections.
Improving the Accuracy of Measuring the Morphology of Red Blood Cells
The authors proposed a method for improving the accuracy of measuring the morphology of red blood cells using an advanced method of interference microscopy and subsequent digital processing of video


Satellite radar interferometry: Two-dimensional phase unwrapping
Interferometric synthetic aperture radar observations provide a means for obtaining high-resolution digital topographic maps from measurements of amplitude and phase of two complex radar images. The
Given an interferometric phase image of a surface profile, the task of two-dimensional phase unwrapping is to reconstruct the profile by adding multiples of 2π to the image, and an algorithm is presented that computes such an unwrapped phase from any initial guess.
Numerical correction of reference phases in phase-shifting interferometry by iterative least-squares fitting.
We present a new computational algorithm of phase-shifting interferometry that can effectively eliminate the uncertainty errors of reference phases encountered when we obtain multiple interferograms.
Wave-front interpretation with Zernike polynomials.
Contrary to the traditional understanding, the classical least-squares method of determining the Zernike coefficients from a sampled wave front with measurement noise has been found numerically stable.
A phase unwrapping method based on network programming
Phase unwrapping is the reconstruction of a function on a grid given its values modulo 2π. A new phase unwrapping method, which is a significant advance from existing techniques, is described and
Two-dimensional phase unwrapping using neural networks
A one-pass pixel-parallel low-complexity method for detecting phase discontinuities based on a supervised feedforward multilayer perceptron neural network that detects the correct unwrapping locations where some conventional methods fail.
Optical Shop Testing
Fringe scanning techniques, now renamed heterodyning or phase shift interferometry, are covered in a completely rewritten chapter. New chapters have been added to cover wavefront fitting and
Unwrapping noisy phase maps by use of a minimum-cost-matching algorithm.
It is shown how a minimum-cost-matching graph-theory method can be used to find the set of cuts that has the global minimum of total cut length, in time approximately proportional to the square of the number of sources.
A self-calibrating phase-shifting algorithm based on the natural demodulation of two-dimensional fringe patterns.
Initial simulations of the new Fourier-Hilbert demodulation technique indicate that high accuracy phase estimates are obtainable even in the presence of closed or discontinuous fringe patterns.