Polarizability of the dielectric double-sphere

Pitkonen, Mikko

doi:10.1063/1.2359140

Cited by 18 publications

(12 citation statements)

References 7 publications

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“…Several articles considering analytical approaches to this double-sphere case can be found. [6][7][8][9] However, polarizability of a hemisphere has not been considered before, although a hemisphere is a very simple and elementary geometry. Like a sphere, it is defined by one single parameter, its radius r. The results presented in this article are also a valuable reference in testing numerical programs which are being developed for treating more complex geometries.…”

Section: Introductionmentioning

confidence: 99%

Polarizability of a dielectric hemisphere

Kettunen

Wallén

Sihvola

2007

Journal of Applied Physics

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Articles you may be interested in Alteration of gas phase ion polarizabilities upon hydration in high dielectric liquids J. Chem. Phys. 139, 044907 (2013) This article presents a method for solving the polarizability of a dielectric hemispherical object as a function of its relative electric permittivity. The polarizability of a hemisphere depends on the direction of the exciting electric field. Therefore, the polarizability can be written as a dyadic consisting of two components, the axial and the transversal polarizabilities, which can be solved separately. The solution is based on an analytical approach where the electrostatic potential function is written as a series expansion. However, no closed-form solution for the coefficients of the series is found, so they must be solved from a matrix equation. This method provides very high accuracy. However, it requires construction of large matrices which consumes both time and memory. Therefore, approximative expressions for the polarizabilities with absolute error less than 10 −5 are also presented.

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Section: Introductionmentioning

confidence: 99%

Polarizability of a dielectric hemisphere

Kettunen

Wallén

Sihvola

2007

Journal of Applied Physics

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“…The components of the optical force F j and the optical torque M j acting on the nanodumbbell can be expressed as [38]: F j = 1 2 Re{p * · ∂ j E} and M j = 1 2 Re{p * × E} j . The quasi-static polarizability α 0 j (j = x, y, z) of a nanodumbbell can be calculated assuming the electric field is static [39]. Fig.…”

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confidence: 99%

Optically Levitated Nanodumbbell Torsion Balance and GHz Nanomechanical Rotor

et al. 2018

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Levitated optomechanics has great potential in precision measurements, thermodynamics, macroscopic quantum mechanics, and quantum sensing. Here we synthesize and optically levitate silica nanodumbbells in high vacuum. With a linearly polarized laser, we observe the torsional vibration of an optically levitated nanodumbbell. This levitated nanodumbbell torsion balance is a novel analog of the Cavendish torsion balance, and provides rare opportunities to observe the Casimir torque and probe the quantum nature of gravity as proposed recently. With a circularly polarized laser, we drive a 170-nm-diameter nanodumbbell to rotate beyond 1 GHz, which is the fastest nanomechanical rotor realized to date. Smaller silica nanodumbbells can sustain higher rotation frequencies. Such ultrafast rotation may be used to study material properties and probe vacuum friction.

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“…been under study using continuum theory [31][32][33][34][35] and on several occasions we briefly compare those results to ours.…”

Section: Introductionmentioning

confidence: 88%

Polarizability and alignment of dielectric nanoparticles in an external electric field: Bowls, dumbbells, and cuboids

Kwaadgras

Verdult

Dijkstra

et al. 2011

The Journal of Chemical Physics

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We employ the coupled dipole method to calculate the polarizability tensor of various anisotropic dielectric clusters of polarizable atoms, such as cuboid-, bowl-, and dumbbell-shaped nanoparticles. Starting from a Hamiltonian of a many-atom system, we investigate how this tensor depends on the size and shape of the cluster. We use the polarizability tensor to calculate the energy difference associated with turning a nanocluster from its least to its most favorable orientation in a homogeneous static electric field, and we determine the cluster dimension for which this energy difference exceeds the thermal energy such that particle alignment by the field is possible. Finally, we study in detail the (local) polarizability of a cubic-shaped cluster and present results indicating that, when retardation is ignored, a bulk polarizability cannot be reached by scaling up the system.

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Polarizability of the dielectric double-sphere

Abstract: An explicit solution for the longitudinal and transverse polarizability of the symmetric dielectric intersecting double sphere is obtained as a rapidly converging series of integral operators, which is fast enough for real time calculation in Java Applet.

Cited by 18 publications

References 7 publications

Polarizability of a dielectric hemisphere

Polarizability of a dielectric hemisphere

Optically Levitated Nanodumbbell Torsion Balance and GHz Nanomechanical Rotor

Polarizability and alignment of dielectric nanoparticles in an external electric field: Bowls, dumbbells, and cuboids

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