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Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and…

High Energy Physics - Theory · Physics 2015-06-26 H. Ahmedov , I. H. Duru

Based on a unified approach to macroscopic QED that allows for the inclusion of amplification in a limited space and frequency range, we study the Casimir force as a Lorentz force on an arbitrary partially amplifying system of linearly…

Quantum Physics · Physics 2015-05-13 Agnes Sambale , Dirk-Gunnar Welsch , Stefan Yoshi Buhmann , Ho Trung Dung

We apply the proximity force approximation, which is widely used for the calculation of the Casimir force between bodies with nonplanar boundary surfaces, to gravitational and Yukawa-type interactions. It is shown that for the gravitational…

Quantum Physics · Physics 2009-07-30 R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. López , V. M. Mostepanenko

We study the Casimir force between a nanoparticle and a substrate. We consider the interaction of metal nanoparticles with different substrates within the dipolar approximation. We study the force as a function of the distance for gold and…

Quantum Physics · Physics 2008-04-15 C. E. Roman-Velazquez , Cecilia Noguez , C. Villarreal , R. Esquivel-Sirvent

We present detailed calculations for the Casimir force between a plane and a nanostructured surface at finite temperature in the framework of the scattering theory. We then study numerically the effect of finite temperature as a function of…

Quantum Physics · Physics 2015-01-27 R. Guérout , J. Lussange , H. B. Chan , A. Lambrecht , S. Reynaud

Mesoscopic particles immersed in a critical fluid experience long-range Casimir forces due to critical fluctuations. Using field theoretical methods, we investigate the Casimir interaction between two spherical particles and between a…

Condensed Matter · Physics 2009-10-28 E. Eisenriegler , U. Ritschel

The Casimir force provides a striking example of the effects of quantum fluctuations in a mesoscopic system. Because it arises from the objects' electromagnetic response, the necessary calculations in quantum field theory are most naturally…

Quantum Physics · Physics 2023-03-30 Giuseppe Bimonte , Thorsten Emig , Noah Graham , Mehran Kardar

In the current work we present the complete results for the measurement of normal Casimir force between shallow and smooth sinusoidally corrugated gold coated sphere and a plate at various angles between the corrugations using an atomic…

Quantum Physics · Physics 2015-06-18 A. A. Banishev , J. Wagner , T. Emig , R. Zandi , U. Mohideen

The lateral Casimir force between two corrugated metallic plates makes possible a study of the nontrivial interplay of geometry and Casimir effect appearing beyond the regime of validity of the Proximity Force Approximation (PFA).…

Quantum Physics · Physics 2007-06-18 Robson B. Rodrigues , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We present the foundations of a new approach to the Casimir effect based on classical ray optics. We show that a very useful approximation to the Casimir force between arbitrarily shaped smooth conductors can be obtained from knowledge of…

Quantum Physics · Physics 2009-11-10 A. Scardicchio , R. L. Jaffe

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

Materials Science · Physics 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

Recent work by Jaffe and Scardicchio has expressed the optical approximation to the Casimir effect as a sum over geometric quantities. The first two authors have developed a technique which uses the complex geometry of the space of oriented…

Differential Geometry · Mathematics 2009-11-10 Brendan Guilfoyle , Wilhelm Klingenberg , Siddhartha Sen

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

The Casimir force between two parallel plates separated by anisotropic media is investigated. We theoretically calculate the Casimir force between two parallel plates when the interspace between the plates is filled with anisotropic media.…

Quantum Physics · Physics 2015-06-29 Gang Deng , Bao-Hua Tan , Ling Pei , Ni Hu , Jin-Rong Zhu

Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

The Casimir force between arbitrary objects in equilibrium is related to scattering from individual bodies. We extend this approach to heat transfer and Casimir forces in non-equilibrium cases where each body, and the environment, is at a…

Quantum Physics · Physics 2014-10-31 Matthias Krüger , Thorsten Emig , Mehran Kardar

We study the geometrical corrections to the simple Proximity Force Approximation for the non-retarded Casimir force. We present analytical results for the force between objects of various shapes and substrates, and between pairs of objects.…

Quantum Physics · Physics 2009-10-27 Bo E. Sernelius , C. E. Román-Velázquez

Using a recently developed theory of the Casimir force (Raabe C and Welsch D-G 2005 Phys. Rev. A 71 013814), we calculate the force that acts on a plate in front of a planar wall and the force that acts on the plate in the case where the…

Quantum Physics · Physics 2009-11-11 Christian Raabe , Dirk-Gunnar Welsch

We compute the Casimir force for a system composed of two layers as substrates within three different homogenous layers. We use the scattering approach along with the Matsubara formalism in order to calculate the Casimir force at finite…

Soft Condensed Matter · Physics 2015-07-30 A. Moradian , M. R. Setare , S. A. Seyedzahedi