Abstract

We present a generalized frequency selection method for $N$-frequency interferometry to form an optimum geometric series at synthetic wavelengths. The absolute range that is measurable is bounded by the number of beat frequency operations, phase noise, and the number of wavelengths used to form the geometric series of synthetic wavelengths. Theoretical predictions are compared with experimental results from a full-field fringe projector. A comparison of this technique with the method of excess fractions shows orders-of-magnitude faster processing with similar measurement reliability.

© 2004 Optical Society of America

Optimum frequency selection in multifrequency interferometry

Catherine E. Towers, David P. Towers, and Julian D. C. Jones
Opt. Lett. 28(11) 887-889 (2003)

Fiber interferometer for simultaneous multiwavelength phase measurement with a broadband femtosecond laser

Catherine E. Towers, David P. Towers, Derryck T. Reid, William N. MacPherson, Robert R. J. Maier, and Julian D. C. Jones
Opt. Lett. 29(23) 2722-2724 (2004)

Time efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry

Catherine E. Towers, David P. Towers, and Julian D.C. Jones
Opt. Express 12(6) 1136-1143 (2004)

Method of excess fractions with application to absolute distance metrology: theoretical analysis

Konstantinos Falaggis, David P. Towers, and Catherine E. Towers
Appl. Opt. 50(28) 5484-5498 (2011)

Method of excess fractions with application to absolute distance metrology: analytical solution

Konstantinos Falaggis, David P. Towers, and Catherine E. Towers
Appl. Opt. 52(23) 5758-5765 (2013)