Computing the Casimir energy using the point-matching method
arXiv:0908.2933 · doi:10.1103/PhysRevD.80.065018
Abstract
We use a point-matching approach to numerically compute the Casimir interaction energy for a two perfect-conductor waveguide of arbitrary section. We present the method and describe the procedure used to obtain the numerical results. At first, our technique is tested for geometries with known solutions, such as concentric and eccentric cylinders. Then, we apply the point-matching technique to compute the Casimir interaction energy for new geometries such as concentric corrugated cylinders and cylinders inside conductors with focal lines.
11 pages, 18 figures
References in corpus (24)
- Casimir forces between arbitrary compact objects
- Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
- Control of the Casimir force by the modification of dielectric properties with light
- Casimir forces in a T operator approach
- The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
- Casimir force on a piston
- Exact Casimir interaction between eccentric cylinders
- Casimir energy between a plane and a sphere in electromagnetic vacuum
- Fluctuation induced quantum interactions between compact objects and a plane mirror
- Casimir interaction of two plates inside a cylinder
- Casimir piston for massless scalar fields in three dimensions
- Multiple Scattering Methods in Casimir Calculations
- Casimir Forces in a Piston Geometry at Zero and Finite Temperatures
- Vacuum Energy and Repulsive Casimir Forces in Quantum Star Graphs
- Casimir pistons with hybrid boundary conditions
- Kaluza-Klein models as pistons
- The perfect magnetic conductor (PMC) Casimir piston in d+1 dimensions
- Casimir manipulations: The orientation dependence of fluctuation-induced forces
- Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case
- Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders
- Casimir interaction: pistons and cavity
- Numerical evaluation of the Casimir interaction between cylinders
- Finite temperature Casimir pistons for electromagnetic field with mixed boundary conditions and its classical limit
- The vacuum energy for two cylinders one of which becoming large
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