On the Positioning Problem of a Microscopic Particle Trapped in Optical Tweezers
Joint Authors
Aguilar-Ibáñez, Carlos Fernando
Rosas-Soriano, Luis I.
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-10
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We solve the positioning problem of a spherical microparticle trapped by Optical Tweezers, under the assumption that the drag viscous force is presented.
To do it, we develop two control strategies for the manipulation of this kind of optical trap.
The first control strategy is developed assuming that the damping coefficient is known, while in the second strategy this parameter value is only partially known, which in practice it is more realistic due to the difficulty to estimate it.
Both strategies are based on the traditional Lyapunov method in conjunction with the use of a saturation function.
The stability analysis of both strategies was carried out by using the standard Lyapunov stability theory.
Finally, numerical simulations validate the effectiveness of both control approaches in reducing the random position fluctuations produced by the inherent thermal noise.
American Psychological Association (APA)
Aguilar-Ibáñez, Carlos Fernando& Rosas-Soriano, Luis I.. 2010. On the Positioning Problem of a Microscopic Particle Trapped in Optical Tweezers. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-512295
Modern Language Association (MLA)
Aguilar-Ibáñez, Carlos Fernando& Rosas-Soriano, Luis I.. On the Positioning Problem of a Microscopic Particle Trapped in Optical Tweezers. Mathematical Problems in Engineering No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-512295
American Medical Association (AMA)
Aguilar-Ibáñez, Carlos Fernando& Rosas-Soriano, Luis I.. On the Positioning Problem of a Microscopic Particle Trapped in Optical Tweezers. Mathematical Problems in Engineering. 2010. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-512295
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512295