Spatial and temporal phase-measurement techniques: a comparison of major error sources in one dimension

  title={Spatial and temporal phase-measurement techniques: a comparison of major error sources in one dimension},
  author={Joanna Schmit and Katherine Creath and Małgorzata Kujawińska},
  booktitle={Optics \& Photonics},
Spatial and temporal phase-measurement interferometry techniques are affected by a number of sources of error. This paper focuses on the influence of major error sources on the results of phase calculations using the most popular algorithms. These error sources include phase-shifter miscalibration for N-frame temporal methods and its equivalent of the wrong carrier frequency in N-point spatial techniques and detector nonlinearities. Other errors considered are detector nonlinearities and… 

Errors in spatial phase-stepping techniques

This paper focuses on the major limitations for phase calculations using standard N- point algorithms, having the wrong carrier frequency, unequally spaced fringes, detector nonlinearities, and variations in the dc fringe intensity.

Fourier-transform method of phase-shift determination.

A new phase-shifting interferometry analysis technique has been developed to overcome the errors introduced by nonlinear, irregular, or unknown phase-step increments and the number of recorded interferograms required for analysis can be reduced.

Errors in two-directional spatial-carrier phase-shifting method

This paper focuses on the major limitations for phase calculation by the standard 5-point algorithm used sequentially for x and y sampling directions and computer simulation reveals the character and magnitude of these major errors.

A new approach using a phase-measuring algorithm in detector-width-compensated displacement-measuring interferometer

Use of spatial phase measurement techniques in a displacement-measuring grating interferometer using detector width compensation becomes impractical due to the highly sensitive nature of the phase

Data-dependent-systems and Fourier-transform methods for single-interferogram analysis.

Results of wave-front phase detection obtained from a spatial method based on data-dependent-systems (DDS) methodology are compared with those obtained from the Fourier-transform method and it is shown that the DDS method preserves the detailed surface texture.

Fringe-pattern analysis using a spatial phase-stepping method with automatic phase unwrapping

Presents a new method of fringe-pattern analysis by spatial phase stepping (SPS). The SPS method combines the computational simplicity of phase stepping with the single-image analysis capability of


In the article, a new two-frequency simultaneous phase shifting interferometric measurement method is developed for one-shot nano-scale microscopic surface profilometry with a measurable depth range

Window function influence on phase error in phase-shifting algorithms.

This work presents five different eight-point phase-shifting algorithms, each with a different window function, and demonstrates that the shape of the window function significantly influences phase error.



Phase-measurement interferometry: beware these errors

Phase-measurement interferometry (PMI) techniques enable quantitative measurements to be performed in optical testing, holographic interferometry, and speckle metrology. This paper will present

New contra old wavefront measurement concepts for interferometric optical testing

Three new and modified wavefront analysis concepts for interferometric optical testing are presented, specifically a moire fringes version of a temporal phase-shifting method and spatial-carrier

Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry

A fast-Fourier-transform method of topography and interferometry is proposed. By computer processing of a noncontour type of fringe pattern, automatic discrimination is achieved between elevation and

Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm.

La difference de phase entre les 2 faisceaux interferant varie de maniere connue et on fait des mesures de la distribution d'intensite a travers la pupille correspondant a au moins 3 dephasages

Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures

The paper describes the photoelectric and interference comparator of the BIPM, for divided scales and end standards, together with its photoelectric microscopes, its installation (in particular, its

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

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.

Schwider , " Advanced evaluation techniques in interferometry

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