Amplitude and Phase Drift Correction of mboxEFPI Sensor Systems Using Both Adaptive mboxKalman Filter and Temperature Compensation for Nanometric Displacement Estimation

by Patrick Chawah, Anthony Sourice, Guy Plantier, Han Cheng Seat, Frédérick Boudin, Jean Chéry, Michel Cattoen, Pascal Bernard, Christophe Brunet, Stéphane Gaffet, Daniel Boyer
Abstract:
Nanometric displacement measurements by Extrinsic Fiber Fabry-Perot interferometers (EFPI) is extremely susceptible to external environmental changes. Temperature, in particular, has a remarkable influence on the optical power and wavelength of the laser diode in use, in addition to the thermal expansion of the mechanical structure. In this paper we propose an optimization of the EFPI sensor in order to use it for very long-term (more than one year) and for high-precision displacement measurements. For this purpose, a real time and adaptive estimation procedure based on a homodyne technique and a Kalman filter is established. During a sinusoidal laser diode current modulation, the Kalman filter provides a correction of the amplitude drift caused by the resultant optical power modulation and external perturbations. Besides, stationary temperature transfer operators are estimated via experimental measurements to reduce the additive thermal noise induced in the optical phase and mechanical components. The tracking algorithm is presented while the complete sensor system integrating the novel Kalman filter and the demodulation scheme have been programmed on an FPGA board for real time processing. Short time experimental results demonstrate an estimation error of 2 nm over a 7000 nm sinusoidal displacement while temperature correction of long-term records reduces errors by considerable factors (above 10).
Reference:
Patrick Chawah, Anthony Sourice, Guy Plantier, Han Cheng Seat, Frédérick Boudin, Jean Chéry, Michel Cattoen, Pascal Bernard, Christophe Brunet, Stéphane Gaffet, Daniel Boyer, « Amplitude and Phase Drift Correction of mboxEFPI Sensor Systems Using Both Adaptive mboxKalman Filter and Temperature Compensation for Nanometric Displacement Estimation », In IEEE/OSA Journal of Lightwave Technology, vol. 30, no. 13, pp. 2195 – 2202, 2012.
Bibtex Entry:
@ARTICLE{IEEEOSAChawah2012,
  author = {Patrick Chawah and Anthony Sourice and Guy Plantier and Seat, Han
	Cheng and Fr'ed'erick Boudin and Jean Ch'ery and Michel Cattoen and
	Pascal Bernard and Christophe Brunet and St'ephane Gaffet and Daniel
	Boyer},
  title = {Amplitude and Phase Drift Correction of mbox{EFPI} Sensor Systems
	Using Both Adaptive mbox{Kalman} Filter and Temperature Compensation
	for Nanometric Displacement Estimation},
  journal = {IEEE/OSA Journal of Lightwave Technology},
  year = {2012},
  volume = {30},
  pages = {2195 -- 2202},
  number = {13},
  month = jul,
  abstract = {Nanometric displacement measurements by Extrinsic Fiber Fabry-Perot
	interferometers (EFPI) is extremely susceptible to external environmental
	changes. Temperature, in particular, has a remarkable influence on
	the optical power and wavelength of the laser diode in use, in addition
	to the thermal expansion of the mechanical structure. In this paper
	we propose an optimization of the EFPI sensor in order to use it
	for very long-term (more than one year) and for high-precision displacement
	measurements. For this purpose, a real time and adaptive estimation
	procedure based on a homodyne technique and a Kalman filter is established.
	During a sinusoidal laser diode current modulation, the Kalman filter
	provides a correction of the amplitude drift caused by the resultant
	optical power modulation and external perturbations. Besides, stationary
	temperature transfer operators are estimated via experimental measurements
	to reduce the additive thermal noise induced in the optical phase
	and mechanical components. The tracking algorithm is presented while
	the complete sensor system integrating the novel Kalman filter and
	the demodulation scheme have been programmed on an FPGA board for
	real time processing. Short time experimental results demonstrate
	an estimation error of 2 nm over a 7000 nm sinusoidal displacement
	while temperature correction of long-term records reduces errors
	by considerable factors (above 10).},
  keywords = {Kalman filter, EFPI sensors, nanometric displacement estimation, parameters
	tracking, ellipse fitting, drift correction, temperature transfer
	operator, differential measurements},
  owner = {gplantier},
  timestamp = {2012.11.11}
}