Article

# Casimir forces in the time domain: Theory

Physical Review A (Impact Factor: 2.99). 07/2009; DOI: 10.1103/PhysRevA.80.012115

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**ABSTRACT:**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.Physical Review A 03/2014; 90(1). · 2.99 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A controllable trapping method based on using a symmetric slot waveguide is proposed. The structure is composed of a subwavelength slot formed between two adjacent thin metallic films embedded in an infinite homogeneous dielectric medium. Generated near-field components interact with a nanowire and exert net force on it. Green’s function surface integral equation method is exploited for numerical calculation of the electric and the magnetic fields and, consequently, the radiation force acting on the nanowire. Casimir force is also obtained by calculating Maxwell stress tensor and using fluctuation–dissipation theorem. Results illustrate that depending on the width and the thickness of the slot, the radiation force and, consequently, the position of the stable equilibrium point change. By controlling the phase difference of the incident SPP waves it is possible to trap or release the nanowire at a specified position. In addition, results reveal that Casimir force moves nanowires toward the center of the slot and is maximum at the entrance of the slot with magnitude depending on the width and thickness of the slot.The Journal of Physical Chemistry C 08/2013; 117(33):17159–17166. · 4.84 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**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 quantum-fluctuation 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.Annalen der Physik 09/2014; · 1.51 Impact Factor

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