Acousto-optic displacement-measuring interferometer: a new heterodyne interferometer with Ångstrom-level periodic error

A concept for a new displacement-measuring interferometer has been developed. The motivation behind this work is minimization of the periodic error caused by unwanted leakage between the two frequencies in commercially available heterodyne systems. Typically, the two frequencies are carried on a single beam and separated by polarization-dependent optics. Imperfect optics, non-ideal laser heads and mechanical misalignment may cause each frequency to be leaked into both the reference and the measurement paths, ideally consisting of a single light frequency. The new polarization-independent interferometer described here uses an acousto-optic modulator as the beam splitter and eliminates the frequency leakage by spatially separating the two light beams. Bench-top experiments have shown a reduction in periodic error to 0.18 nm (1.8 Å). The device description, as well as suggestions for simple architecture implementations, are presented.

[1]  Bernard Cretin,et al.  Heterodyne interferometers: Practical limitations and improvements , 1988 .

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

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

[4]  V. Badami,et al.  A frequency domain method for the measurement of nonlinearity in heterodyne interferometry , 2000 .

[5]  R. Deslattes,et al.  Analytical modeling of the periodic nonlinearity in heterodyne interferometry. , 1998, Applied optics.

[6]  C. R. Steinmetz,et al.  Sub-micron position measurement and control on precision machine tools with laser interferometry , 1990 .

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

[8]  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.

[9]  G. V. Fedotova Analysis of the measurement error of the parameters of mechanical vibrations , 1980 .

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

[11]  M. Tanaka,et al.  Linear interpolation of periodic error in a heterodyne laser interferometer at subnanometer levels (dimension measurement) , 1989 .

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

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

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

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

[16]  Ondřej Číp,et al.  Problems regarding linearity of data of a laser interferometer with a single-frequency laser , 1999 .

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

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

[19]  A. Korpel,et al.  Probing of acoustic surface perturbations by coherent light. , 1969, Applied optics.

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

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

[22]  J. Lawall,et al.  Heterodyne interferometer with subatomic periodic nonlinearity. , 1999, Applied optics.

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