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Journal ArticleDOI

Polarization-shifting method for step interferometry

TLDR
In this article, a phase step interferometry system using polarization shifting is described, which is essentially a Mach-Zehnder interferometer in which the polarization of light travelling through one arm is orthogonal to the polarization travelling through the other arm.
Abstract
A phase step interferometry system using polarization shifting is described. The device is essentially a Mach-Zehnder interferometer in which the polarization of light travelling through one arm is orthogonal to the polarization of light travelling through the other arm. At the interferometer output we place a quarter-wave plate with its fast axis at with respect to the polarization directions and a polarizer. By rotating the polarizer, the interfering waves acquire an extra phase (of topological origin) to that expected from the calculations of optical path lengths, and thus, arbitrary phase shifts can be induced. Then, from a set of interferograms recorded while the reference phase is changed, the `dynamical' phase difference (e.g. the phase profile of an object placed in one of the interferometer arms) can be reconstructed by using techniques of phase-shifting interferometry.

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Citations
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Journal ArticleDOI

White-light ellipsometer with geometric phase shifter.

TL;DR: It is shown that errors in Δ due to the nonideal behavior of the achromatic quarter-wave plate in the phase shifter can be made small by suitably adjusting the azimuth of the linearly polarized light incident on the sample.
Journal ArticleDOI

Visualization of phase objects using incoherent illumination

TL;DR: A method for visualization of phase objects using incoherent illumination, which is based on the image enhancement due to an illumination gradient, is presented, which has potential application for gas-leak detection in industrial environments.
Journal ArticleDOI

Spatial self-filtering with polarizer sheets.

TL;DR: A method for phase visualization and edge enhancement by spatial self-filtering by use of a polarizer sheet in the Fourier plane of an optical processor is described.
Journal ArticleDOI

Complex self-coherence function determination using geometric phase techniques

TL;DR: In this article, a method to determine the complex coherence function is proposed based on the concept of geometric phase, which has the property of achromaticity, which enables adding phase delays to the entire interferogram.
Journal ArticleDOI

Simple phase-shifting by polarizer rotations in a cube beam-splitter interferometer

TL;DR: The proposal takes advantage of the polarization aberration in a cube beam splitter due to its geometry, to the angular dependence with the coating, and to the polarization angle of the input beam to achieve phase shifting interferometry by the rotation of a polarizer.
References
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Journal ArticleDOI

Quantal phase factors accompanying adiabatic changes

TL;DR: In this article, it was shown that the Aharonov-Bohm effect can be interpreted as a geometrical phase factor and a general formula for γ(C) was derived in terms of the spectrum and eigen states of the Hamiltonian over a surface spanning C.
BookDOI

Optical Shop Testing

Daniel Malacara
- 08 Jun 2007 - 
TL;DR: In this paper, a completely rewritten chapter was added to cover wavefront fitting and evaluation as well as holographic and Moire methods, and an appendix was added suggesting appropriate tests for typical optical surfaces.
Book ChapterDOI

V Phase-Measurement Interferometry Techniques

TL;DR: The phase modulation in an interferometer can be induced by moving a mirror, tilting a glass plate, moving a grating, rotating a half-wave plate or analyzer, using an acoustooptic or electro-optic modulator, or using a Zeeman laser as mentioned in this paper.
Journal ArticleDOI

The Adiabatic Phase and Pancharatnam's Phase for Polarized Light

TL;DR: In this article, the existence of the phase is attributed to the non-transitivity of Pancharatnam's connection between different states of polarization, and the precise relation is established using the algebra of spinors and 2 × 2 Hermitian matrices.
Journal ArticleDOI

Digital wave-front measuring interferometry: some systematic error sources.

TL;DR: To study the occurrence of wave-front irregularities caused by dust particles a model has been developed and countermeasures derived which assure sufficient regularity of contour line plots, and the repeatability of the present experimental setup was better than λ/200 within the 3σ limits.
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