Analysis of the measurement range in Fizeau phase-stepping interferometry using the moire effect

In this work, the phase evaluation of multiple-beam Fizeau interferograms is carried out by the usual phase-stepping algorithms by superimposing the interferogram on a Ronchi grid located at the interferometer image plane. The phase modulation, required for phase measurement, is obtained by translating the grid in its own plane, while a slight defocusing in the image acquisition system provides a suitable sinusoidal intensity pattern. An estimation of the measurable range of surface slopes is calculated and experiments on a spherical surface have been realized in order to analyze the validity of the obtained results.

[1]  T. Eiju,et al.  Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm. , 1987, Applied optics.

[2]  Charles S. Williams,et al.  Introduction To The Optical Transfer Function , 1989 .

[3]  J. Rogers Fringe shifts in multiple-beam Fizeau interferometry , 1982 .

[4]  R Jóźiwicki Influence of aberrations of Fizeau interferometer elements on measurement errors. , 1991, Applied optics.

[5]  J. Simon,et al.  Localization of Interference Fringes. , 1980 .

[6]  R. Smith,et al.  Linear Systems, Fourier Transforms and Optics , 1979 .

[7]  B V Dorrío,et al.  Fizeau phase-measuring interferometry using the moiré effect. , 1995, Applied optics.

[8]  Malgorzata Kujawinska,et al.  New contra old wavefront measurement concepts for interferometric optical testing , 1992 .

[9]  J Schwider,et al.  Semiconductor wafer and technical flat planeness testing interferometer. , 1987, Applied optics.

[10]  K. Creath Temporal Phase Measurement Methods , 1993 .

[11]  Ari T. Friberg,et al.  Interference pattern of the Fizeau interferometer , 1994 .

[12]  M. Takeda,et al.  Fourier transform profilometry for the automatic measurement of 3-D object shapes. , 1983, Applied optics.

[13]  P. Hariharan Digital Phase-Shifting Interferometry , 1987, Other Conferences.

[14]  J. Schwider,et al.  Digital wave-front measuring interferometry: some systematic error sources. , 1983, Applied optics.

[15]  J. Brossel,et al.  Multiple-beam localized fringes: part I. - Intensity distribution and localization , 1947 .