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Casimir force between a microfabricated elliptic cylinder and a plate

Journal Article · · Physical Review. A
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Physics, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana 46202 (United States)
  2. Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)
  3. North-West Technical University, Millionnaya Street 5, St.Petersburg, 191065 (Russian Federation)
  4. Physics Department, Wabash College, Crawfordsville, Indiana 47933 (United States)
  5. Center for Nanoscale Materials, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
  6. Noncommercial Partnership ''Scientific Instruments'', Tverskaya Street 11, Moscow, 103905 (Russian Federation)
+ Show Author Affiliations

We investigate the Casimir force between a microfabricated elliptic cylinder (cylindrical lens) and a plate made of real materials. After a brief discussion of the fabrication procedure, which typically results in elliptic rather than circular cylinders, the Lifshitz-type formulas for the Casimir force and for its gradient are derived. In the specific case of equal semiaxes, the resulting formulas coincide with those derived previously for circular cylinders. The nanofabrication procedure may also result in asymmetric cylindrical lenses obtained from parts of two different cylinders, or rotated through some angle about the axis of the cylinder. In these cases, the Lifshitz-type formulas for the Casimir force between a lens and a plate and for its gradient are also derived, and the influence of lens asymmetry is determined. Additionally, we obtain an expression for the shift of the natural frequency of a micromachined oscillator with an attached elliptic cylindrical lens interacting with a plate via the Casimir force in a nonlinear regime.

OSTI ID:
22080385
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

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Related Subjects

36 MATERIALS SCIENCE
ASYMMETRY
CASIMIR EFFECT
CYLINDRICAL CONFIGURATION
FABRICATION
MATERIALS
NANOSTRUCTURES
NONLINEAR PROBLEMS
OSCILLATORS
PLATES