Picometer level displacement metrology with digitally enhanced heterodyne interferometry

doi:10.1364/OE.17.000828

Optics Express

Editor: C. Martijn de Sterke
Vol. 17, Iss. 2 — Jan. 19, 2009
pp: 828–837

Picometer level displacement metrology with digitally enhanced heterodyne interferometry

Glenn de Vine, David S. Rabeling, Bram J. J. Slagmolen, Timothy T-Y. Lam, Sheon Chua, Danielle M. Wuchenich, David E. McClelland, and Daniel A. Shaddock »View Author Affiliations

Optics Express, Vol. 17, Issue 2, pp. 828-837 (2009)
http://dx.doi.org/10.1364/OE.17.000828

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Abstract
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Abstract

Digitally enhanced heterodyne interferometry is a laser metrology technique employing pseudo-random codes phase modulated onto an optical carrier. We present the first characterization of the technique’s displacement sensitivity. The displacement of an optical cavity was measured using digitally enhanced heterodyne interferometry and compared to a simultaneous readout based on conventional Pound-Drever-Hall locking. The techniques agreed to within 5 pm/√Hz at 1 Hz, providing an upper bound to the displacement noise of digitally enhanced heterodyne interfer-ometry. These measurements employed a real-time signal extraction system implemented on a field programmable gate array, suitable for closed-loop control applications. We discuss the applicability of digitally enhanced heterodyne interferometry for lock acquisition of advanced gravitational wave detectors.

OCIS Codes
(040.2840) Detectors : Heterodyne
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: December 4, 2008
Revised Manuscript: January 5, 2009
Manuscript Accepted: January 6, 2009
Published: January 9, 2009

Citation
Glenn de Vine, David S. Rabeling, Bram J. J. Slagmolen, Timothy T-Y. Lam, Sheon Chua, Danielle M. Wuchenich, David E. McClelland, and Daniel A. Shaddock, "Picometer level displacement metrology with digitally enhanced heterodyne interferometry," Opt. Express 17, 828-837 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-2-828

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References

N. Bobroff, "Recent advances in displacement measuring interferometry," Meas. Sci. Technol. 4, 907 (1993). [CrossRef]
D. A. Shaddock, "Digitally enhanced heterodyne interferometry," Opt. Lett. 32, 3355-3357 (2007). [CrossRef] [PubMed]
O. Lay, S. Dubovitsky, D. A. Shaddock, and B. Ware, "Coherent range-gated laser distance metrology with compact optical head," Opt. Lett. 32, 2933-2935 (2007). [CrossRef] [PubMed]
R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, "Laser phase and frequency stabilization using an optical resonator," Appl. Phys. B 31, 97 (1983). [CrossRef]
O. Lay, Private Communication (2008).
See for example http://www.ligo.caltech.edu/advLIGO/ or A. Weinstein for the LSC, "Advanced LIGO optical configuration and prototyping effort," Class. Quantum Grav. 19, 1575-1584 (2002).
Y. Aso, M. Ando, K. Kawabe, S. Otsuka, and K. Tsubono, "Stabilisation of a Fabry-Perot interferometer using a suspension-point interferometer," Phys. Lett. A 327, 18 (2004). [CrossRef]
B. J. J. Slagmolen, G. de Vine, D. S. Rabeling, K. McKenzie, A. J. Mullavey, D. A. Shaddock, D. E. McClelland, M. Evans, and Y. Aso, "Advanced LIGO arm cavity pre-lock acquisition system," http://www.ligo.caltech.edu/docs/T/T080139-00.pdf (2008).

Appl. Phys. B

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, "Laser phase and frequency stabilization using an optical resonator," Appl. Phys. B 31, 97 (1983). [CrossRef]

Meas. Sci. Technol.

N. Bobroff, "Recent advances in displacement measuring interferometry," Meas. Sci. Technol. 4, 907 (1993). [CrossRef]

Opt. Lett.

Phys. Lett. A

Y. Aso, M. Ando, K. Kawabe, S. Otsuka, and K. Tsubono, "Stabilisation of a Fabry-Perot interferometer using a suspension-point interferometer," Phys. Lett. A 327, 18 (2004). [CrossRef]

Other

B. J. J. Slagmolen, G. de Vine, D. S. Rabeling, K. McKenzie, A. J. Mullavey, D. A. Shaddock, D. E. McClelland, M. Evans, and Y. Aso, "Advanced LIGO arm cavity pre-lock acquisition system," http://www.ligo.caltech.edu/docs/T/T080139-00.pdf (2008).
O. Lay, Private Communication (2008).
See for example http://www.ligo.caltech.edu/advLIGO/ or A. Weinstein for the LSC, "Advanced LIGO optical configuration and prototyping effort," Class. Quantum Grav. 19, 1575-1584 (2002).

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