Efficient deconvolution of noisy periodic interference signals
- 1 April 2006
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 23 (4), 902-905
- https://doi.org/10.1364/josaa.23.000902
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.Keywords
This publication has 7 references indexed in Scilit:
- Fluid viscosity and the attenuation of surface waves: a derivation based on conservation of energyEuropean Journal of Physics, 2003
- Numerical evaluation of Hankel transforms for oscillating functionsJournal of the Optical Society of America A, 2003
- Noninvasive measurement of viscosity from damping of capillary wavesISA Transactions, 2003
- Direct measurement of the attenuation of capillary waves by laser interferometry: Noncontact determination of viscosityApplied Physics Letters, 2001
- On operating deflection shapes of the violin body including in-plane motionsThe Journal of the Acoustical Society of America, 2000
- Deconvolution method for two-dimensional spatial-response mapping of lithographic infrared antennasApplied Optics, 1999
- Fiber-optic detection system for capillary waves: An apparatus for studying liquid surfaces and spread monolayersReview of Scientific Instruments, 1991