Quasianalytical modal approach for computing Casimir interactions in periodic nanostructures

F. Intravaia, P. S. Davids, R. S. Decca, V. A. Aksyuk, D. López, D. A.R. Dalvit

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We present an almost fully analytical technique for computing Casimir interactions between periodic lamellar gratings based on a modal approach. Our method improves on previous work on Casimir modal approaches for nanostructures by using the exact form of the eigenvectors of such structures, and computing eigenvalues by solving numerically a simple transcendental equation. In some cases eigenvalues can be solved for exactly, such as the zero-frequency limit of gratings modeled by a Drude permittivity. Our technique also allows us to predict analytically the behavior of the Casimir interaction in limiting cases, such as the large-separation asymptotics. The method can be generalized to more complex grating structures and may provide a deeper understanding of the geometry-composition-temperature interplay in Casimir forces between nanostructures.

Original languageEnglish (US)
Article number042101
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume86
Issue number4
DOIs
StatePublished - Oct 3 2012

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'Quasianalytical modal approach for computing Casimir interactions in periodic nanostructures'. Together they form a unique fingerprint.

Cite this