Phase Modulation Homodyne Interferometer with a 10-pm Resolution Using a Tunable Laser Diode

  • Ishige, Masashi (Department of Mechanical Engineering, Nagaoka university of technology) ;
  • Matsuura, Fumio (Department of Mechanical Engineering, Nagaoka university of technology) ;
  • Kawasugi, Masaaki (Department of Mechanical Engineering, Nagaoka university of technology) ;
  • Aketagawa, Masato (Department of Mechanical Engineering, Nagaoka university of technology)
  • Published : 2007.04.01

Abstract

We propose a new displacement measurement method using a phase modulation homodyne interferometer and a tunable laser diode as a light source to determine an arbitrary length with a resolution in the order of 10 pm. In the proposed instrument, the displacement of a movable mirror in the interferometer can be converted to a frequency shift of the tunable laser diode. We discuss the principles of the proposed method, the instrumentation, and the experimental results, and compare the proposed method with two commercial displacement sensors. The commercial sensors used are a heterodyne interferometer, the interpolation error of which is also measured, and a capacitive sensor.

Keywords

References

  1. International Technology Roadmap for Semiconductors: http://public.itrs.net/
  2. Bobroff, N., 'Recent Advances in Displacement Measuring Interferometry,' Measurement Science and Technology, Vol. 4, pp. 907-926, 1993 https://doi.org/10.1088/0957-0233/4/9/001
  3. Wu, C., Lawall, J. and Deslattes, R. D., 'Heterodyne Interferometer with Subatomic Periodic Nonlinearity,' Applied Optics, Vol. 38, No. 12, pp. 4089-4094, 1999 https://doi.org/10.1364/AO.38.004089
  4. Badami, V. G. and Patterson, S. R., 'A Frequency Domain Method for the Measurement of Nonlinearity in Heterodyne Interferometer,' Precision Engineering, Vol. 24, pp. 41-49, 2000 https://doi.org/10.1016/S0141-6359(99)00026-4
  5. Basile, G., Bergamin, A., Cavagnero, G. and Mana, G., 'Phase Modulation in High-resolution Optical Interferometry,' Metrologia, Vol. 28, pp. 455-461, 1991 https://doi.org/10.1088/0026-1394/28/6/003
  6. Haitjema, H., Schellekens, P. H. J. and Wetzels, S. F. C. L., 'Calibration of Displacement Sensors up to 300 ${\mu}m$ with Nanometer Accuracy and Direct Traceability to a Primary Standard of Length,' Metrologia, Vol. 37, pp. 25-33, 2000 https://doi.org/10.1088/0026-1394/37/1/4
  7. Howard, L., Stone, J. and Fu, J., 'Real-time Displacement Measurements with a Fabry-Perot Cavity and a Diode Laser,' Precision Engineering, Vol. 25, No. 4, pp. 321-335, 2001 https://doi.org/10.1016/S0141-6359(01)00086-1
  8. Lawall, J. R., 'Fabry-Perot Metrology for Displacements up to 50 mm,' Journal of the Optical Society of America A, Vol. 22, No. 12, pp. 2786-2798, 2005 https://doi.org/10.1364/JOSAA.22.002786
  9. Bitou, Y., Schibli, T. R. and Minoshima, K., 'Accurate Widerange Displacement Measurement Using Tunable Diode Laser and Optical Frequency Comb Generator,' Optics Express, Vol. 14, No. 2, pp. 644-654, 2006 https://doi.org/10.1364/OPEX.14.000644
  10. Drever, R. W. P., Hall, J. L., Kowalski, F. V., Hough, J., Ford, G. M., Munley, A. J. and Ward, H., 'Laser Phase and Frequency Stabilization Using an Optical Resonator,' Applied Physics B: Photophysics Laser Chemistry, Vol. 31, No. 2, pp. 97-105, 1983 https://doi.org/10.1007/BF00702605
  11. Bay, Z., Luther, G. G. and White, J. A., 'Measurement of an Optical Frequency and the Speed of Light,' Physical Review Letters, Vol. 29, No. 3, pp. 189-192, 1972 https://doi.org/10.1103/PhysRevLett.29.189
  12. Udem, Th., Reichert, J., Holzwarth, R. and Hunsch, T. W., 'Accurate Measurement of Large Optical Frequency Differences with a Mode-locked Laser,' Optics Letters, Vol. 14, No. 13, pp. 881-883, 1999
  13. Silver, R. M., Zou, H., Gonda, S., Damazo, B., Jun, J., Jensen, C. and Howard, L., 'Atomic-resolution Measurements with a New Tunable Diode Laser-based Interferometer,' Optical Engineering, Vol. 43, No. 1, pp. 79-86, 2004 https://doi.org/10.1117/1.1631002
  14. Matsuura, F., Ishige, M., Kawasugi, M., Hoshino, Y. and Aketagawa, M., 'Length Measurement Using a Tunable Laser Diode,' Japanese Society for Precision Engineering, Spring Meeting, pp. N07, 2006
  15. ADE corporation: http://www.ade.com/#menu
  16. Agilent Technologies: http://www.home.agilent.com/agilent/home.jspx?lc=eng&NEWCCLC=USeng&cc=US
  17. Ciddor, P. E., 'Refractive Index of Air: New Equations for the Visible and Near Infrared,' Applied Optics, Vol. 35, No. 9, pp. 1566-1573, 1996 https://doi.org/10.1364/AO.35.001566