8,732 research outputs found
Fabrication of Switches on Polymer-Based by Hot Embossing
In MEMS technology, most of the devices are fabricated on glass or silicon
substrate. However, this research presents a novel manufacture method that is
derived from conventional hot embossing technology to fabricate the
electrostatic switches on polymer material. The procedures of fabrication
involve the metal deposition, photolithography, electroplating, hot embossing
and hot embed techniques. The fundamental concept of the hot embed technology
is that the temperature should be increased above Tg of polymer, and the
polymer becomes plastic and viscous and could be molded. According to the
fundamental concept, the metal layer on the silicon/glass substrate could be
embedded into polymer material during the hot embossing process. Afterward, the
metal layer is bonded together with the polymer after removing the substrate in
the de-embossing step. Finally, the electrostatic switch is fabricated on
polymethylmethacrylate(PMMA) material to demonstrate the novel method.Comment: Submitted on behalf of TIMA Editions
(http://irevues.inist.fr/tima-editions
Painlev\'e III and the Hankel Determinant Generated by a Singularly Perturbed Gaussian Weight
In this paper, we study the Hankel determinant generated by a singularly
perturbed Gaussian weight By using the ladder operator approach associated with the orthogonal
polynomials, we show that the logarithmic derivative of the Hankel determinant
satisfies both a non-linear second order difference equation and a non-linear
second order differential equation. The Hankel determinant also admits an
integral representation involving a Painlev\'e III. Furthermore, we consider
the asymptotics of the Hankel determinant under a double scaling, i.e.
and such that is fixed. The
asymptotic expansions of the scaled Hankel determinant for large and small
are established, from which Dyson's constant appears.Comment: 22 page
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