Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Casimir force between a microfabricated elliptic cylinder and a
  plate   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.

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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc