Quantifying Noise in Optical Tweezers by Allan Variance

Czerwinski, Fabian; Richardson, Andrew C.; Oddershede, Lene B.

doi:10.1364/oe.17.013255

Cited by 112 publications

(139 citation statements)

References 16 publications

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“…21 The compact optical layout results in a stable instrument and aberration correction improves the quality of the traps. We verify the stability of the instrument by measuring the Allan variance, [22][23][24] demonstrating position measurement to an accuracy better than 1 nm for a measurement time between 0.5 and 50 s. The system is compatible with a wide range of microscopy techniques including brightfield, darkfield, 25 stereo, 26 and fluorescence as well as particle tracking using video microscopy. 23,27 II.…”

Section: Introductionmentioning

confidence: 88%

A compact holographic optical tweezers instrument

Gibson

Bowman

Linnenberger

et al. 2012

Review of Scientific Instruments

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Visual and dynamical measurement of Rayleigh-Benard convection by using fiber-based digital holographic interferometry J. Appl. Phys. 112, 113113 (2012) Guide-star-based computational adaptive optics for broadband interferometric tomography Appl. Phys. Lett. 101, 221117 (2012) Limits of elemental contrast by low energy electron point source holography J. Appl. Phys. 110, 094305 (2011) Cantilever biosensor reader using a common-path, holographic optical interferometer Appl. Phys. Lett. 97, 221110 (2010) Extended depth of focus in a particle field measurement using a single-shot digital hologram Appl. Phys. Lett. 95, 201103 (2009) Additional information on Rev. Sci. Instrum. Holographic optical tweezers have found many applications including the construction of complex micron-scale 3D structures and the control of tools and probes for position, force, and viscosity measurement. We have developed a compact, stable, holographic optical tweezers instrument which can be easily transported and is compatible with a wide range of microscopy techniques, making it a valuable tool for collaborative research. The instrument measures approximately 30×30×35 cm and is designed around a custom inverted microscope, incorporating a fibre laser operating at 1070 nm. We designed the control software to be easily accessible for the non-specialist, and have further improved its ease of use with a multi-touch iPad interface. A high-speed camera allows multiple trapped objects to be tracked simultaneously. We demonstrate that the compact instrument is stable to 0.5 nm for a 10 s measurement time by plotting the Allan variance of the measured position of a trapped 2 μm silica bead. We also present a range of objects that have been successfully manipulated.

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Section: Introductionmentioning

confidence: 88%

A compact holographic optical tweezers instrument

Gibson

Bowman

Linnenberger

et al. 2012

Review of Scientific Instruments

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“…For example, Czerwinski et al (2009) used Allan variance to quantify noise in optical tweezers setups. Simulations were used to obtain (simulated) data free of noise and long-term drift, providing a suitable baseline for comparison with experimental results.…”

Section: Applications Of Simulationsmentioning

confidence: 99%

Theory and Practice of Computational Modeling and Simulation of Optical Tweezers

Nieminen

Preez-Wilkinson

Bui

et al. 2015

Optics in the Life Sciences

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Theory and practice of simulation of optical tweezers, Journal of Quantitative Spectroscopy and Radiative Transfer, http://dx.doi.org/10.1016/j.jqsrt.2016.12.026 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. AbstractComputational modelling has made many useful contributions to the field of optical tweezers. One aspect in which it can be applied is the simulation of the dynamics of particles in optical tweezers. This can be useful for systems with many degrees of freedom, and for the simulation of experiments. While modelling of the optical force is a prerequisite for simulation of the motion of particles in optical traps, non-optical forces must also be included; the most important are usually Brownian motion and viscous drag. We discuss some applications and examples of such simulations. We review the theory and practical principles of simulation of optical tweezers, including the choice of method of calculation of optical force, numerical solution of the equations of motion of the particle, and finish with a discussion of a range of open problems.

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“…(1). From a calculation of the Allan variance on the purely thermal data, i. e. the 5 min long section recorded prior to the inclusion of the pulses, an optimal data length of 17 seconds was determined [27]. This provides 17 independent position measurements and by fitting the corresponding autocorrelation functions, like the one in Fig.…”

Section: / Optics Express 1992mentioning

confidence: 99%