Casimir forces in the time domain: Theory

Rodríguez, Alejandro W.; McCauley, Alexander P.; Joannopoulos, John D.; Johnson, Steven G.

doi:10.1103/physreva.80.012115

Cited by 67 publications

(131 citation statements)

References 56 publications

(101 reference statements)

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“…The key point of the approach is to compute the force via a series of independent FDTD [17] calculations in which sources are separately placed at each point on S, calculate the entire frequency spectrum in a single simulation for each source, and then integrate the electromagnetic response in time domain against a predetermined function g(−t) [18,19].…”

Section: Numerical Implementationmentioning

confidence: 99%

“…Thus, the resulting fields are separable with φ, and the equations only contain the (r, z) coordinates. Then the calculation reduces to a 2D problem for each m. Once the fields are determined in (r, z) coordinates, the force contribution for each m is [19] …”

Section: Harmonic Expansion In Cylindrical Coordinatesmentioning

confidence: 99%

“…For simplicity, assume that S consists entirely of z = const and r = const surfaces. In these cases, the surface δ function δ S is given by [19] …”

Section: Harmonic Expansion In Cylindrical Coordinatesmentioning

confidence: 99%

“…In [19], the authors introduced a geometry-independent function g(−t), which resulted from the Fourier transform of a certain function of frequency, termed g(ξ) and is given by…”

Section: Geometry-independent Function G(−t)mentioning

confidence: 99%

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Casimir Force in Anisotropic Materials With Ac Kerr Effect

Zhang¹,

Huang²,

Wu³

2014

PIER M

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Abstract-The Casimir force between an ellipsoid and a plate can be tuned by using the combination of anisotropic materials and nonlinear materials exhibiting the AC Kerr effect. The force was obtained numerically by using the FDTD method, based on the Maxwell's stress tensor. The results indicate that the force can be significantly varied by changing the intensity and location of the laser, as well as the properties of material. The sensitive changing between ellipsoid and plate structure with different materials' properties provides new possibilities of integrating optical devices into nano-electromechanical systems (NEMS).

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Section: Numerical Implementationmentioning

confidence: 99%

Section: Harmonic Expansion In Cylindrical Coordinatesmentioning

confidence: 99%

“…For simplicity, assume that S consists entirely of z = const and r = const surfaces. In these cases, the surface δ function δ S is given by [19] …”

Section: Harmonic Expansion In Cylindrical Coordinatesmentioning

confidence: 99%

“…In [19], the authors introduced a geometry-independent function g(−t), which resulted from the Fourier transform of a certain function of frequency, termed g(ξ) and is given by…”

Section: Geometry-independent Function G(−t)mentioning

confidence: 99%

See 2 more Smart Citations

Casimir Force in Anisotropic Materials With Ac Kerr Effect

Zhang¹,

Huang²,

Wu³

2014

PIER M

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“…In the absence of boundaries the magnetic field due to an oscillating magnetic dipole is given by (14) where…”

Section: B Integral Equation For the Green Functionmentioning

confidence: 99%

Casimir energy of smooth compact surfaces

Straley

Kolomeisky

2014

Phys. Rev. A

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We discuss the formalism of Balian and Duplantier for the calculation of the Casimir energy for an arbitrary smooth compact surface, and use it to give some examples: a finite cylinder with hemispherical caps, the torus, ellipsoid of revolution, a "cube" with rounded corners and edges, and a "drum" made of disks and part of a torus. We propose a model function which approximately captures the shape dependence of the Casimir energy.

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Classical and fluctuation‐induced electromagnetic interactions in micron‐scale systems: designer bonding, antibonding, and Casimir forces

et al. 2014

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Whether intentionally introduced to exert control over particles and macroscopic objects, such as for trapping or cooling, or whether arising from the quantum and thermal fluctuations of charges in otherwise neutral bodies, leading to unwanted stiction between nearby mechanical parts, electromagnetic interactions play a fundamental role in many naturally occurring processes and technologies. In this review, we survey recent progress in the understanding and experimental observation of optomechanical and quantumfluctuation forces. Although both of these effects arise from exchange of electromagnetic momentum, their dramatically different origins, involving either real or virtual photons, lead to different physical manifestations and design principles. Specifically, we describe recent predictions and measurements of attractive and repulsive optomechanical forces, based on the bonding and antibonding interactions of evanescent waves, as well as predictions of modified and even repulsive Casimir forces between nanostructured bodies. Finally, we discuss the potential impact and interplay of these forces in emerging experimental regimes of micromechanical devices.

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Casimir forces in the time domain: Theory

Cited by 67 publications

References 56 publications

Casimir Force in Anisotropic Materials With Ac Kerr Effect

Casimir Force in Anisotropic Materials With Ac Kerr Effect

Casimir energy of smooth compact surfaces

Classical and fluctuation‐induced electromagnetic interactions in micron‐scale systems: designer bonding, antibonding, and Casimir forces

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