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Title: Modal approach to Casimir forces in periodic structures

Abstract

We present a modal approach to calculate finite-temperature Casimir interactions between two periodically modulated surfaces. The scattering formula is used and the reflection matrices of the patterned surfaces are calculated by decomposing the electromagnetic field into the natural modes of the structures. The Casimir force gradient from a deeply etched silicon grating is evaluated using the modal approach and compared to experiment for validation. The Casimir force involving a two-dimensional periodic structure is computed and deviations from the proximity force approximation are examined.

Authors:
 [1]; ; ;  [2]
  1. Applied Photonics and Microsystems, Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States)
  2. Theoretical Division, MS B213, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Publication Date:
OSTI Identifier:
21528819
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.82.062111; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; APPROXIMATIONS; CASIMIR EFFECT; ELECTROMAGNETIC FIELDS; GRATINGS; INTERACTIONS; MATRICES; PERIODICITY; REFLECTION; SCATTERING; SILICON; SURFACES; TWO-DIMENSIONAL CALCULATIONS; CALCULATION METHODS; ELEMENTS; SEMIMETALS; VARIATIONS

Citation Formats

Davids, P S, Intravaia, F, Rosa, F S. S., and Dalvit, D A. R. Modal approach to Casimir forces in periodic structures. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.062111.
Davids, P S, Intravaia, F, Rosa, F S. S., & Dalvit, D A. R. Modal approach to Casimir forces in periodic structures. United States. https://doi.org/10.1103/PHYSREVA.82.062111
Davids, P S, Intravaia, F, Rosa, F S. S., and Dalvit, D A. R. 2010. "Modal approach to Casimir forces in periodic structures". United States. https://doi.org/10.1103/PHYSREVA.82.062111.
@article{osti_21528819,
title = {Modal approach to Casimir forces in periodic structures},
author = {Davids, P S and Intravaia, F and Rosa, F S. S. and Dalvit, D A. R.},
abstractNote = {We present a modal approach to calculate finite-temperature Casimir interactions between two periodically modulated surfaces. The scattering formula is used and the reflection matrices of the patterned surfaces are calculated by decomposing the electromagnetic field into the natural modes of the structures. The Casimir force gradient from a deeply etched silicon grating is evaluated using the modal approach and compared to experiment for validation. The Casimir force involving a two-dimensional periodic structure is computed and deviations from the proximity force approximation are examined.},
doi = {10.1103/PHYSREVA.82.062111},
url = {https://www.osti.gov/biblio/21528819}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 82,
place = {United States},
year = {Wed Dec 15 00:00:00 EST 2010},
month = {Wed Dec 15 00:00:00 EST 2010}
}