Electromagnetic Non-contact Gears: Prelude

Abstract

We calculate the lateral Lifshitz force between corrugated dielectric slabs of finite thickness. Taking the thickness of the plates to infinity leads us to the lateral Lifshitz force between corrugated dielectric surfaces of infinite extent. Taking the dielectric constant to infinity leads us to the conductor limit which has been evaluated earlier in the literature.

7 pages, 2 figures, Contribution to Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions (QFEXT09), Norman, OK, September 21-25, 2009

References in corpus (5)

• Recent Developments in the Casimir Effect
• Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
• 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
• From multiple scattering to van der Waals interactions: exact results for eccentric cylinders

Cited by in corpus (3)

• Distance-dependent sign-reversal in the Casimir-Lifshitz torque
• Effect of excess charge carriers and fluid medium on the magnitude and the sign of the Casimir-Lifshitz torque
• Multiple Scattering: Dispersion, Temperature Dependence, and Annular Pistons