Abstract

Recent advances in multiwavelength interferometry techniques [Appl. Opt. 52, 5758 (2013)] give new insights to phase unwrapping problems and allow the fringe order information contained in the measured phase to be extracted with low computational effort. This work introduces an algebraic solution to the phase unwrapping problem that allows the direct calculation of the unknown integer fringe order. The procedure resembles beat-wavelength approaches, but provides greater flexibility in choosing the measurement wavelengths, a larger measurement range, and a higher robustness against noise, due to the ability to correct for errors during the calculation.

© 2014 Optical Society of America

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)

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)

Continuous-wave terahertz interferometry with multiwavelength phase unwrapping

Xinke Wang, Lei Hou, and Yan Zhang
Appl. Opt. 49(27) 5095-5102 (2010)

Method of excess fractions with application to absolute distance metrology: Wavelength selection and the effects of common error sources

Konstantinos Falaggis, David P. Towers, and Catherine E. Towers
Appl. Opt. 51(27) 6471-6479 (2012)

Generalized frequency selection in multifrequency interferometry

Catherine E. Towers, David P. Towers, and Julian D. C. Jones
Opt. Lett. 29(12) 1348-1350 (2004)