2018
DOI: 10.1063/1.5016810
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Extracting the potential-well of a near-field optical trap using the Helmholtz-Hodge decomposition

Abstract: The non-conservative nature of the force field generated by a near-field optical trap is analyzed. A plasmonic C-shaped engraving on a gold film is considered as the trap. The force field is calculated using the Maxwell stress tensor method. The Helmholtz-Hodge decomposition is used to extract the conservative and the non-conservative component of the force. Due to the non-negligible non-conservative component, it is found that the conventional approach of extracting the potential by direct integration of the … Show more

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Cited by 16 publications
(17 citation statements)
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“…17a, b) 319,320 . Numerical simulations were used to determine the optical force and potential well of the plasmonic traps [321][322][323][324] , and a further analysis was performed with the use of dielectrophoresis 325 . Owing to the nature of near-field plasmonic traps, two-dimensional arrays of such traps can be made for complex manipulation and transport of nanoparticles.…”
Section: Homogeneous Particlesmentioning
confidence: 99%
“…17a, b) 319,320 . Numerical simulations were used to determine the optical force and potential well of the plasmonic traps [321][322][323][324] , and a further analysis was performed with the use of dielectrophoresis 325 . Owing to the nature of near-field plasmonic traps, two-dimensional arrays of such traps can be made for complex manipulation and transport of nanoparticles.…”
Section: Homogeneous Particlesmentioning
confidence: 99%
“…Mainly because the trap stiffness, the trapping range (hence the traps spacing), particle's location and other characterizing parameters of an optical trap are extracted from the trapping potential. A near-field optical trap generates a force-field that can be decomposed into a conservative/irrotational component and a non-conservative/solenoidal component, using the Helmholtz-Hodge decomposition (HHD) [63]. HHD can be applied in the case of a sufficiently smooth force F, defined in a bounded domain Ω with a smooth boundary δΩ and results in the following decomposition:…”
Section: The Trapping Potential and Particle's Dynamicsmentioning
confidence: 99%
“…One can also estimate viscosity of the suspension medium through the ACF analysis. In terms of the corner frequency, f c , the trap stiffness κ can be written as [28,29]…”
Section: B Autocorrelation Function Analysismentioning
confidence: 99%