Casimir Interaction of Dielectric Gratings

2008/06/30 by Astrid Lambrecht, Valery N. Marachevsky · 2 citations
Engineering · Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Thermal Radiation and Cooling Technologies #cond-mat.stat-mech #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevlett.101.160403

4 pages, 4 figures, revtex4

arxiv created 2008/09/11 · openalex publication_date 2008/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive an exact solution for the Casimir force between two arbitrary periodic dielectric gratings and illustrate our method by applying it to two nanostructured silicon gratings. We also reproduce the Casimir force gradient measured recently [H. B. Chan, Y. Bao, J. Zou, R. A. Cirelli, F. Klemens, W. M. Mansfield, and C. S. Pai, Phys. Rev. Lett. 101, 030401 (2008)10.1103/PhysRevLett.101.030401] between a silicon grating and a gold sphere taking into account the material dependence of the force. We find good agreement between our theoretical results and the measured values both in absolute force values and the ratios between the exact force and proximity force approximation predictions.

Citations

• Measurement of the Casimir Force between a Gold Sphere and a Silicon Surface with Nanoscale Trench Arrays
• Casimir Forces between Arbitrary Compact Objects
• Influence of slab thickness on the Casimir force
• Casimir force and the quantum theory of lossy optical cavities
• The Casimir effect within scattering theory

Cited by

• The Casimir effect in microstructured geometries
• Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings