Leading- and next-to-leading-order lateral Casimir force on corrugated surfaces

Abstract

We derive explicit analytic expressions for the lateral force for two different configurations with corrugations, parallel plates and concentric cylinders. By making use of the multiple scattering formalism, we calculate the force for a scalar field under the influence of a delta-function potential that has sinusoidal dependence in one direction simulating the corrugations. By making a perturbative expansion in the amplitude of the corrugation we find the leading order for the corrugated concentric cylinders and the next-to-leading order for the corrugated parallel plates.

6 pages. Seventh Alexander Friedmann International Seminar on Gravitation and Cosmology

References in corpus (5)

• Casimir Forces between Compact Objects: I. The Scalar Case
• Lateral Casimir force beyond the Proximity Force Approximation
• Multiple Scattering Methods in Casimir Calculations
• Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case
• Non-contact gears: I. Next-to-leading order contribution to lateral Casimir force between corrugated parallel plates

Cited by in corpus (1)

• Calculating Casimir interactions for Periodic Surface Relief Gratings using the C-Method