Measuring the accuracy of particle position and force in optical tweezers using high-speed video microscopy

Gibson, Graham M.; Leach, Jonathan; Keen, Stephen; Wright, Amanda J.; Padgett, Miles J.

doi:10.1364/oe.16.014561

Cited by 195 publications

(170 citation statements)

References 18 publications

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“…This is an improvement on what we previously reported 23 for a similar, but much larger, optical tweezers workstation. Another method of characterizing the system is to record the power spectrum of a trapped bead.…”

Section: Characterizationsupporting

confidence: 57%

“…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: 89%

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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: Characterizationsupporting

confidence: 57%

Section: Introductionmentioning

confidence: 89%

A compact holographic optical tweezers instrument

Gibson

Bowman

Linnenberger

et al. 2012

Review of Scientific Instruments

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show abstract

“…22 The Allan deviation of our system is shown in Figure 7. While our system does not attain the extremely low noise floor of these highly optimised systems, it is nonetheless within an order of magnitude, representing adequate performance for a great many experiments.…”

Section: A Driftmentioning

confidence: 99%

A one-piece 3D printed flexure translation stage for open-source microscopy

Sharkey

Foo

Kabla

et al. 2016

Review of Scientific Instruments

135

116

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Open source hardware has the potential to revolutionise the way we build scientific instruments; with the advent of readily-available 3D printers, mechanical designs can now be shared, improved and replicated faster and more easily than ever before. However, printed parts are typically plastic and often perform poorly compared to traditionally machined mechanisms. We have overcome many of the limitations of 3D printed mechanisms by exploiting the compliance of the plastic to produce a monolithic 3D printed flexure translation stage, capable of sub-micron-scale motion over a range of 8×8×4 mm. This requires minimal post-print cleanup, and can be automated with readily-available stepper motors. The resulting plastic composite structure is very stiff and exhibits remarkably low drift, moving less than 20 µm over the course of a week, without temperature stabilisation. This enables us to construct a miniature microscope with excellent mechanical stability, perfect for timelapse measurements in situ in an incubator or fume hood. The ease of manufacture lends itself to use in containment facilities where disposability is advantageous, and to experiments requiring many microscopes in parallel. High performance mechanisms based on printed flexures need not be limited to microscopy, and we anticipate their use in other devices both within the laboratory and beyond.

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“…This was observed by means of a camera (Proscilica GE680, Allied Vision Technologies GmbH) operating at 500 frames per second. Figure 5(a) depicts the histogram of position data obtained with a center of mass algorithm similar to [9], where accurate measurements of particle positions in optical tweezers are made using high-speed video microscopy. It was determined that three traps were present using the transverse occupation probability in Maxwell's statistical distribution for distinguishable particles; a representation of the pseudopotential surface in this plane appears in Fig.…”

mentioning

confidence: 99%

Phase-Transition-like Properties of Double-Beam Optical Tweezers

Stilgoe

Heckenberg²,

Nieminen³

et al. 2011

Phys. Rev. Lett.

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We report on double-beam optical tweezers that undergo previously unknown phase-transition-like behavior resulting in the formation of more optical traps than the number of beams used to create them. We classify the optical force fields which produce multiple traps for a double-beam system including the critical behavior. This effect is demonstrated experimentally in orthogonally polarized (noninterfering) dual-beam optical tweezers for a silica particle of 2:32 m diameter. Phase transitions of multiple beam trapping systems have implications for hopping rates between traps and detection of forces between biomolecules using dual-beam optical tweezers. It is an example of a novel dynamic system with multiple states where force fields undergo a series of sign inversions as a function of parameters such as size and beam separation. DOI: 10.1103/PhysRevLett.107.248101 PACS numbers: 87.80.Cc, 05.40.Jc, 05.70.Fh Since their inception, it has been known that optical tweezers have nonconservative force components in their force fields; this is commonly expressed by the division of the optical force into the gradient force (conservative) and the scattering force (nonconservative) [1]. When single Gaussian beam traps are used to measure forces, for example, in biophysics [2], the trap is usually considered to be a harmonic potential. That is, the gradient force is assumed to be described by Hooke's law, and the scattering force is ignored. In this case, the trap can be described by a single parameter, the trap stiffness k. This approximation is useful as it provides quantitative results of sufficient accuracy, especially when considering other sources of uncertainty in the system. While a more complete picture of the optical force field is possible [3,4], this is not required for such applications. However, with two trapping beams, the approximation of any single linear response function fails and nonequilibrium effects must be considered [5].While in general the optical force field for a doublebeam trap cannot be modeled as a linear spring, or as a pair of linear springs at the limits of small and large separations of the two beams, such models can be used for small displacements of trapped particles. For small separations there should be one trap, which can be modeled as harmonic, and for large separations, there are two noninteracting traps. Thus, at some intermediate separation of the beams, there must be a transition from the single trap case to the multiple traps case; this would constitute phasetransition-like behavior. Here, we investigate the transition from a single trap to multiple traps, using an accurate electromagnetic computational model [6], and demonstrate experimentally a particular case in a dual-beam optical tweezers apparatus.We assume that our two beams are completely uncorrelated, which could be experimentally obtained by using beams from independent sources, and can be approximated by using beams with orthogonal polarizations. Previously, unusual behaviors of dual-beam optical tweezers may have...

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Measuring the accuracy of particle position and force in optical tweezers using high-speed video microscopy

Cited by 195 publications

References 18 publications

A compact holographic optical tweezers instrument

A compact holographic optical tweezers instrument

A one-piece 3D printed flexure translation stage for open-source microscopy

Phase-Transition-like Properties of Double-Beam Optical Tweezers

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