Casimir forces in the time domain: Applications

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.012119· OSTI ID:21408147

McCauley, Alexander P; Rodriguez, Alejandro W; Joannopoulos, John D ^[1]; Johnson, Steven G ^[2]

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1. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

Our previous article [Phys. Rev. A 80, 012115 (2009)] introduced a method to compute Casimir forces in arbitrary geometries and for arbitrary materials that was based on a finite-difference time-domain (FDTD) scheme. In this article, we focus on the efficient implementation of our method for geometries of practical interest and extend our previous proof-of-concept algorithm in one dimension to problems in two and three dimensions, introducing a number of new optimizations. We consider Casimir pistonlike problems with nonmonotonic and monotonic force dependence on sidewall separation, both for previously solved geometries to validate our method and also for new geometries involving magnetic sidewalls and/or cylindrical pistons. We include realistic dielectric materials to calculate the force between suspended silicon waveguides or on a suspended membrane with periodic grooves, also demonstrating the application of perfectly matched layer (PML) absorbing boundaries and/or periodic boundaries. In addition, we apply this method to a realizable three-dimensional system in which a silica sphere is stably suspended in a fluid above an indented metallic substrate. More generally, the method allows off-the-shelf FDTD software, already supporting a wide variety of materials (including dielectric, magnetic, and even anisotropic materials) and boundary conditions, to be exploited for the Casimir problem.

• OSTI ID: 21408147
• Journal Information: Physical Review. A, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevA.81.012119; (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
ALGORITHMS
ANISOTROPY
BOUNDARY CONDITIONS
CASIMIR EFFECT
COMPUTER CODES
CYLINDRICAL CONFIGURATION
DIELECTRIC MATERIALS
FLUIDS
GEOMETRY
LAYERS
OPTIMIZATION
PERIODICITY
PISTONS
SILICA
SILICON
THREE-DIMENSIONAL CALCULATIONS
WAVEGUIDES
CONFIGURATION
ELEMENTS
MACHINE PARTS
MATERIALS
MATHEMATICAL LOGIC
MATHEMATICS
MINERALS
OXIDE MINERALS
SEMIMETALS
VARIATIONS