Determination of linear displacement by envelope detection with maximum likelihood estimation

Journal Article · Mon Sep 20 00:00:00 EDT 2010 · Applied Optics

DOI:https://doi.org/10.1364/AO.49.005103· OSTI ID:22036530

Lang, Kuo-Chen; Teng, Hui-Kang

We demonstrate in this report an envelope detection technique with maximum likelihood estimation in a least square sense for determining displacement. This technique is achieved by sampling the amplitudes of quadrature signals resulted from a heterodyne interferometer so that the resolution of displacement measurement of the order of {lambda}/10{sup 4} is experimentally verified. A phase unwrapping procedure is also described and experimentally demonstrated and indicates that the unambiguity range of displacement can be measured beyond a single wavelength.

• OSTI ID: 22036530
• Journal Information: Applied Optics, Vol. 49, Issue 27; Other Information: (c) 2010 Optical Society of America; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-6935
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DETECTION
INTERFEROMETERS
LEAST SQUARE FIT
MAXIMUM-LIKELIHOOD FIT
QUADRATURES
RESOLUTION
SAMPLING
WAVELENGTHS