A frequency domain method for the measurement of nonlinearity in heterodyne interferometry

This paper presents a method for the measurement of nonlinearity in heterodyne interferometry which utilizes the frequency spectrum of the output of the photodetector for the direct measurement of the magnitudes of the first and second harmonic nonlinearities. The underlying theory and the experimental technique are discussed. Results showing the application of this technique for the determination of the influence of the azimuthal alignments of the polarization beamsplitter, the analyzer and measurement retroreflector are presented. The applicability of the technique to the in situ optimization of an interferometer system is demonstrated. It is shown that using this technique an interferometer system can be optimized to reduce the first-harmonic nonlinearity to below 0.5 nm p-p and the second harmonic nonlinearity to 2 nm p-p. This method is contrasted with other methods and the advantages conferred by the elimination of an external reference and the phase measuring electronics are highlighted.

[1]  Alan E. Rosenbluth,et al.  Optical sources of non-linearity in heterodyne interferometers , 1990 .

[2]  M S Chung,et al.  Polarization properties of cube-corner retroreflectors and their effects on signal strength and nonlinearity in heterodyne interferometers. , 1996, Applied optics.

[3]  Michael A. Player,et al.  Importance of rotational beam alignment in the generation of second harmonic errors in laser heterodyne interferometry , 1993 .

[4]  Yi Xie,et al.  Zeeman laser interferometer errors for high-precision measurements. , 1992, Applied optics.

[5]  N. Bobroff Recent advances in displacement measuring interferometry , 1993 .

[6]  J. M. D. Freitas,et al.  Analysis of laser source birefringence and dichroism on nonlinearity in heterodyne interferometry , 1997 .

[7]  Lowell P. Howard,et al.  A simple technique for observing periodic nonlinearities in Michelson interferometers , 1998 .

[8]  N. Bobroff,et al.  Residual errors in laser interferometry from air turbulence and nonlinearity. , 1987, Applied optics.

[9]  Wenmei Hou,et al.  Drift of nonlinearity in the heterodyne interferometer , 1994 .

[10]  Wenmei Hou,et al.  Investigation and compensation of the nonlinearity of heterodyne interferometers , 1992 .

[11]  Chien‐Ming Wu,et al.  Nonlinearity in measurements of length by optical interferometry , 1996 .

[12]  Walter Augustyn,et al.  An analysis of polarization mixing errors in distance measuring interferometers , 1990 .

[13]  Michael A. Player,et al.  Polarization Effects in Heterodyne Interferometry , 1995 .

[14]  C M Sutton,et al.  Non-linearity in length measurement using heterodyne laser Michelson interferometry , 1987 .

[15]  B. Li,et al.  Effects of polarization mixing on the dual-wavelength heterodyne interferometer. , 1997, Applied optics.