Efficient deconvolution of noisy periodic interference signals

Feredoon Behroozi, Peter S. Behroozi

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The interference signal formed by combining two coherent light beams carries information on the path difference between the beams. When the path difference is a periodic function of time, as, for example, when one beam is reflected from a vibrating surface and the other from a fixed surface, the interference signal is periodic with the same period as the vibrating surface. Bessel functions provide an elegant and efficient means for deconvoluting such periodic interference signals, thus making it possible to obtain the displacement of the moving surface with nanometer resolution. Here we describe the mathematical basis for the signal deconvolution and employ this technique to obtain the amplitude of miniature capillary waves on water as a test case.

Original languageEnglish (US)
Pages (from-to)902-905
Number of pages4
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume23
Issue number4
DOIs
StatePublished - Apr 2006
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

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