Modal approach to Casimir forces in periodic structures

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.062111· OSTI ID:21528819

Davids, P S ^[1]; Intravaia, F; Rosa, F S. S.; Dalvit, D A. R. ^[2]

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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)

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.

• OSTI ID: 21528819
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.062111; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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