Electromagnetic Non-contact Gears: Prelude
Prachi Parashar, Kimball A. Milton, In\'es Cavero-Pel\'aez, and K. V., Shajesh
TL;DR
This paper calculates the lateral Lifshitz force between corrugated dielectric slabs of finite thickness, extending to infinite extent and dielectric constant, providing a comprehensive analysis of electromagnetic non-contact gears.
Contribution
It introduces a detailed calculation of the lateral Lifshitz force for finite-thickness dielectric slabs, bridging to known limits for infinite thickness and perfect conductors.
Findings
Derived expressions for lateral Lifshitz force between finite-thickness dielectric slabs.
Extended the force calculation to the infinite-thickness limit.
Connected dielectric results to the known conductor limit.
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.
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