Measurement Techniques

, Volume 54, Issue 7, pp 750–757 | Cite as

Mathematical model of the exact fraction method for the order of interference

  • A. V. Zabelin

An improved method of interpreting the exact fraction method for the order of interference used in multiwavelength interferometry is examined. Optimal algorithms for choosing possible values of the integral orders of interference and a new, more exact method of calculating the result of two wavelength interference measurements are presented. The metrological problems of multiwavelength interferometry are shown to be closely related to the formalism of convergents of continued fractions in number theory.


multiwavelength interferometry exact fraction method for the order of interference Chinese remainder theorem convergents of continued fractions euclidean algorithm 


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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Moscow State Technological University StankinMoscowRussia

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