Electric force between a dielectric sphere and a dielectric plane
Alberto T. Pérez, Raúl Fernández‐Mateo
Abstract
We compute the electric force between a dielectric sphere and a dielectric plane in the presence of an external electric field. Laplace’s equation is solved in bispherical coordinates and Maxwell’s stress tensor is used to calculate the force. The result is given as a series expansion that is evaluated numerically. Asymptotic expressions for the case of large and small distances are obtained and compared with well-known analytical solutions. We use COMSOL commercial software to validate the semi-analytical results.
Topics & Concepts
DielectricElectric fieldPlane (geometry)Laplace's equationLaplace transformMaxwell stress tensorClassical mechanicsPhysicsTensor (intrinsic definition)Mathematical analysisStress (linguistics)Polarization densityCauchy stress tensorMathematicsGeometryQuantum mechanicsDifferential equationLinguisticsMagnetizationMagnetic fieldPhilosophyForce Microscopy Techniques and ApplicationsExperimental and Theoretical Physics StudiesMechanical and Optical Resonators