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Nanometer-scale displacement sensing using self-mixing interferometry with a correlation-based signal processing technique

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EN
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EN
A self-mixing interferometer is proposed to measure nanometre-scale optical path length changes in the interferometer's external cavity. As light source, the developed technique uses a blue emitting GaN laser diode. An external reflector, a silicon mirror, driven by a piezo nanopositioner is used to produce an interference signal which is detected with the monitor photodiode of the laser diode. Changing the optical path length of the external cavity introduces a phase difference to the interference signal. This phase difference is detected using a signal processing algorithm based on Pearson's correlation coefficient and cubic spline interpolation techniques. The results show that the average deviation between the measured and actual displacements of the silicon mirror is 3.1 nm in the 0-110 nm displacement range. Moreover, the measured displacements follow linearly the actual displacement of the silicon mirror. Finally, the paper considers the effects produced by the temperature and current stability of the laser diode as well as dispersion effects in the external cavity of the interferometer. These reduce the sensor's measurement accuracy especially in long-term measurements.
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  • Optoelectronicss and Measurement Techniques Laboratory, Infotech Oulu, University of Oulu, 90014 Oulu, Finland, jukka.hast@ee.oulu.fi
Bibliografia
  • 1. G. Giuliani, M. Norgia, S. Donati, and T. Bosch, "Laser diode self-mixing technique for sensing applications", J. Opt. A: Pure Appl. Opt. 4, 283-294 (2002).
  • 2. G. Giuliani, S. Bozzi-Pietra, and S. Donati, "Self-mixing laser diode vibrometer", Meas. Sci. Technol. 14, 24-32 (2003).
  • 3. M.J. Rudd, "A laser Doppler velocimeter employing the laser as a mixer-oscillator", J. Phys. E: Sci. Instrum. 1, 723-726 (1968).
  • 4. J. Hast, L. Krehut, and R. Myllylä, "A displacement sensor based on optical feedback interferometry in a GaN laser diode", Opt. Eng. 48, 080504 (2005).
  • 5. M. Liess, G. Weijers, C. Heinks, A. Horst, A. Rommers, R. Duijve, and G. Mimnagh, "A miniaturized multidirectional optical motion sensor and input device based on laser self-mixing", Meas. Sci. Technol. 13, 2001-2006 (2002).
  • 6. S. Merlo, and S. Donati, "Reconstruction of displacement waveforms with a single-channel laser diode feedback interferometer", IEEE J. Quantum Electron. 33, 526-531 (1997).
  • 7. F. Gouraux, N. Servagent, and T. Bosch, "A phase-modulated method to improve the resolution of a self-mixing interferometer", Proc. IEEE-LEOS ODIMAP II, 81-86 (1999).
  • 8. M. Wang and G. Lai, "A self-mixing interferometer using an external dual cavity", Meas. Sci. Technol. 14, 1025-1031 (2003).
  • 9. S. Donati, Electro-optical Instrumentation; Sensing and Measuring with Lasers, Upper Saddle River, NJ; Prentice-Hall, 2004.
  • 10. G.A. Acket, D. Lenstra, A.J. den Boef, and B.H. Verbeel, "The influence of feedback intensity on longitudinal mode properties and optical noise in index guided semiconductor lasers", IEEE J. Quantum Electron. 20, 1163-1169 (1984).
  • 11. M.H. Koelink, M. Slot, F.F.M. de Mul, J. Greve, R. Graaff, A.C.M. Dassel, and J.G. Aarnoudse, "Laser Doppler velocimeter based on the self-mixing effect in a fiber-coupled semiconductor laser: theory", Appl. Opt. 31, 3401-3408 (1992).
  • 12. S.K. Özdemir, S. Ito, S. Shinohara, H. Yoshida, and M. Sumi, "Correlation-based speckle velocimeter with selfmixing interference in a semiconductor laser diode", Appl. Opt. 38, 6859-6865 (1999).
  • 13. T. Suzuki, S. Hirabayashi, O. Sasaki, and T. Maruyama, "Self-mixing type of phase locked laser diode interferometer", Opt. Eng. 38, 543-548 (1999).
  • 14. M. Wang, "Fourier transform method for self-mixing interference signal analysis", Opt. Laser Technol. 33, 409-416 (2001).
  • 15. S. Donati, G. Giuliani, and S. Merlo, "Laser diode feedback interferometer for the measurements of displacements without ambiguity", IEEE J. Quant. Electron. QE-31, 113-119 (1995).
  • 16. K.P. Birch, and M.J. Downs, "An updated Edlén equation for the refractive index of air", Metrologia 30, 155-162 (1993).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0007-0015
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