Non-harmonic potential of a single beam optical trap

Richardson, Andrew C.; Reihani, S. Nader S.; Oddershede, Lene B.

doi:10.1364/oe.16.015709

Cited by 42 publications

(32 citation statements)

References 18 publications

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“…Refs. [41,42] exerted the harmonic or anharmonic potential on the trapped object using optical tweezers based on a single laser beam object, similarly we may design the anharmonic potential (see V (x) in Eq. (3)) on the trapped object, and gain-or-loss distribution (see W (x) in Eq.…”

Section: Nonlinear Physical Model With the Pt -Symmetric Potential Anmentioning

confidence: 99%

Dynamical behaviors of optical solitons in parity–time (PT) symmetric sextic anharmonic double-well potentials

Wen

Yan

2015

Physics Letters A

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Section: Nonlinear Physical Model With the Pt -Symmetric Potential Anmentioning

confidence: 99%

Dynamical behaviors of optical solitons in parity–time (PT) symmetric sextic anharmonic double-well potentials

Wen

Yan

2015

Physics Letters A

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“…Typically, only Cxx and Cyy take on values of significant magnitude, confirming the spring-like potential of the trap and all the other terms can be neglected. However, assuming a full second-order potential allows the detection of any notable deviations from the ideal spring potential 32 . k x and k y represent the spring constants related to the restoring forces in the x and y directions, respectively.…”

Section: Bayesian Inference For Optical Tweezersmentioning

confidence: 99%

“…In addition to detecting the presence of linear or cross terms, the inference method can determine if a fourth-or sixth-order potential is more appropriate to describe the confinement. This detects the presence of higher order terms, which may prove useful to correct aberrations in holographic optical traps 41 or when the bead explores areas away from the central part of the trap where the potential was found to be anharmonic 32 . In the case of our experimental trajectories, this was not the case: no matter the order of the potential assumed for the Bayesian inference, the second order coefficients do not change and additional higher order coefficients are found to be negligible.…”

Section: Detections Of Deviation From the Parabolic Trapping Potentialmentioning

confidence: 99%

Optical tweezers calibration with Bayesian inference

et al. 2014

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We present a new method for calibrating an optical-tweezer setup that is based on Bayesian inference 1 . This method employs an algorithm previously used to analyze the confined trajectories of receptors within lipid rafts 2,3 . The main advantages of this method are that it does not require input parameters and is insensitive to systematic errors like the drift of the setup. Additionally, it exploits a much larger amount of the information stored in the recorded bead trajectory than standard calibration approaches. The additional information can be used to detect deviations from the perfect harmonic potential or detect environmental influences on the bead. The algorithm infers the diffusion coefficient and the potential felt by a trapped bead, and only requires the bead trajectory as input. We demonstrate that this method outperforms the equipartition method and the power-spectrum method in input information required (bead radius and trajectory length) and in output accuracy. Furthermore, by inferring a higher order potential our method can reveal deviations from the assumed second-order potential. More generally, this method can also be used for magnetic-tweezer calibration.

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“…7 This motion can be recorded with high sampling rates by quadrant photo diode ͑QPD͒ position detection systems ͑Ref. 8 and references therein͒.…”

Section: Introductionmentioning

confidence: 99%

Active-passive calibration of optical tweezers in viscoelastic media

Fischer

Richardson²,

Reihani

et al. 2010

Review of Scientific Instruments

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In order to use optical tweezers as a force measuring tool inside a viscoelastic medium such as the cytoplasm of a living cell, it is crucial to perform an exact force calibration within the complex medium. This is a nontrivial task, as many of the physical characteristics of the medium and probe, e.g., viscosity, elasticity, shape, and density, are often unknown. Here, we suggest how to calibrate single beam optical tweezers in a complex viscoelastic environment. At the same time, we determine viscoelastic characteristics such as friction retardation spectrum and elastic moduli of the medium. We apply and test a method suggested ͓M. Fischer and K. Berg-Sørensen, J. Opt. A, Pure Appl. Opt. 9, S239 ͑2007͔͒, a method which combines passive and active measurements. The method is demonstrated in a simple viscous medium, water, and in a solution of entangled F-actin without cross-linkers.

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Non-harmonic potential of a single beam optical trap

Cited by 42 publications

References 18 publications

Dynamical behaviors of optical solitons in parity–time (PT) symmetric sextic anharmonic double-well potentials

Dynamical behaviors of optical solitons in parity–time (PT) symmetric sextic anharmonic double-well potentials

Optical tweezers calibration with Bayesian inference

Active-passive calibration of optical tweezers in viscoelastic media

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