Digital evaluation of interferograms

Abstract For one and a half decade, software for interferometric fringe evaluation has been developed and used at Graz University of Technology. Within the framework of an awarded grant, these software packages on interferometric fringe evaluation were subsumed under Windows and Unix platforms and are accessibly under http://optics.tugraz.at . The software focuses on high-resolution digital fringe evaluation including phase stepping, Fourier domain evaluation as well as unwrapping techniques for regular and irregular fringe patterns. For phase objects, Abel-inversion and optical tomography also has been included. New developments on digital holography were taken into account. This paper describes the methods used and focuses on their implementation in such a universal software.

[1]  K. Widmann,et al.  Interferometric determination of the electron density in a high-pressure xenon lamp with a holographic optical element. , 1996, Applied optics.

[2]  Luca Pezzati,et al.  Phase-shifting speckle interferometry: a noise reduction filter for phase unwrapping , 1997 .

[3]  D. Vukicevic Optical tomography by heterodyne holographic interferometry , 1990, Other Conferences.

[4]  H. Helmers,et al.  Spatial versus temporal phase shifting in electronic speckle-pattern interferometry: noise comparison in phase maps. , 2000, Applied optics.

[5]  U. Schnars Direct phase determination in hologram interferometry with use of digitally recorded holograms , 1994 .

[6]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[7]  M. Lehmann,et al.  Decorrelation-induced phase errors in phase-shifting speckle interferometry. , 1997, Applied optics.

[8]  T. Bothe,et al.  Spatial phase shifting in electronic speckle pattern interferometry: minimization of phase reconstruction errors. , 1997, Applied optics.

[9]  C. Wykes,et al.  Holographic and speckle interferometry: Speckle pattern interferometry , 1989 .

[10]  S. Nakadate,et al.  Fringe scanning speckle-pattern interferometry. , 1985, Applied optics.

[11]  William H. Press,et al.  Numerical recipes in C , 2002 .

[12]  Stephan Waldner,et al.  A simple and effective method for filtering speckle-interferometric phase fringe patterns , 1999 .

[13]  J. Woisetschläger,et al.  Comparison of Different Methods of Abel Inversion Using Computer Simulated and Experimental Side-On Data , 1992 .

[14]  Giancarlo Pedrini,et al.  Digital double pulse-TV-holography , 1997 .

[15]  J. R. Buckland,et al.  Unwrapping noisy phase maps by use of a minimum-cost-matching algorithm. , 1995, Applied optics.

[16]  G. H. Kaufmann,et al.  Unwrapping of Digital Speckle-Pattern Interferometry Phase Maps by use of a Minimum L(0)-Norm Algorithm. , 1998, Applied optics.

[17]  A Wei,et al.  Phase evaluation of speckle patterns during continuous deformation by use of phase-shifting speckle interferometry. , 2000, Applied optics.

[18]  K Creath,et al.  Window function influence on phase error in phase-shifting algorithms. , 1996, Applied optics.

[19]  Theo Neger,et al.  Optical tomography of phase objects by holographic interferometry , 1992 .

[20]  T. Neger,et al.  High-accuracy differential interferometry for the investigation of phase objects , 1993 .

[21]  D B Sheffer,et al.  Phase-shifting holographic interferometry for breast cancer detection. , 1994, Applied optics.

[22]  Yukihiro Ishii,et al.  Phase-extraction analysis of laser-diode phase-shifting interferometry that is insensitive to changes in laser power , 1996 .

[23]  W. Macy,et al.  Two-dimensional fringe-pattern analysis. , 1983, Applied optics.

[24]  Frank E Jones The Refractivity of Air. , 1981, Journal of research of the National Bureau of Standards.

[25]  K. Creath V Phase-Measurement Interferometry Techniques , 1988 .

[26]  Chris P. Brophy,et al.  Effect of intensity error correlation on the computed phase of phase-shifting interferometry , 1990 .

[27]  J. M. Huntley Suppression of phase errors from vibration in phase-shifting interferometry , 1998 .

[28]  Differential interferometry with adjustable spatial carrier fringes for turbine blade cascade flow investigations , 1998 .

[29]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[30]  K. Hibino,et al.  Susceptibility of systematic error-compensating algorithms to random noise in phase-shifting interferometry. , 1997, Applied optics.

[31]  K. Creath Phase-Shifting Speckle Interferometry , 1985, Optics & Photonics.

[32]  Y Surrel,et al.  Additive noise effect in digital phase detection. , 1997, Applied optics.

[33]  M. Lalor,et al.  Robust, accurate seven-sample phase-shifting algorithm insensitive to nonlinear phase-shift error and second-harmonic distortion: a comparative study , 1999 .

[34]  R Cusack,et al.  Improved noise-immune phase-unwrapping algorithm. , 1995, Applied optics.

[35]  Thomas Kreis,et al.  Digital holographic interference-phase measurement using the Fourier-transform method , 1986 .

[36]  N. Abramson,et al.  The Making and Evaluation of Holograms , 1982 .

[37]  K A Stetson,et al.  Holographic strain analysis: extension of fringe-vector method to include perspective. , 1976, Applied optics.

[38]  Louis A. Romero,et al.  Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods , 1994 .

[39]  Theo Neger,et al.  Temporally resolved phase-stepped speckle interferometry of instationary plasma discharges , 1999, Other Conferences.

[40]  C. Werner,et al.  Satellite radar interferometry: Two-dimensional phase unwrapping , 1988 .

[41]  D. C. Williams,et al.  Digital phase-step interferometry: a simplified approach , 1991 .

[42]  Ichirou Yamaguchi,et al.  Phase-shifting digital holography , 1997 .

[43]  Jonathan M. Huntley,et al.  Random phase measurement errors in digital speckle pattern interferometry , 1997 .

[44]  Werner P. O. Jueptner,et al.  Suppression of the dc term in digital holography , 1997 .