Array-based optical nanolithography using optically trapped microlenses

E McLeod, CB Arnold - Optics express, 2009 - opg.optica.org
Current demands on optical nanolithography require the ability to rapidly and cost-effectively
write arbitrary patterns over large areas with sub-diffraction limit feature sizes. The challenge …

A two-dimensional electrostatic model of interdigitated comb drive in longitudinal mode

A Gaudiello, M Lenczner - SIAM Journal on Applied Mathematics, 2020 - SIAM
A periodic homogenization model of the electrostatic equation is constructed for a comb
drive with a large number of fingers and whose mode of operation is in-plane and …

[HTML][HTML] A symbolic transformation language and its application to a multiscale method

W Belkhir, A Giorgetti, M Lenczner - Journal of Symbolic Computation, 2014 - Elsevier
The context of this work is the design of a software, called MEMSALab, dedicated to the
automatic derivation of multiscale models of arrays of micro-and nanosystems. In this …

Parallelizing MPEG video encoding using multiprocessors

DM Barbosa, JP Kitajima… - XII Brazilian Symposium on …, 1999 - ieeexplore.ieee.org
Many computer applications are currently using digital video. Recent advances in digital
imaging and faster networking infrastructure made this technology very popular, not only for …

Computer-aided derivation of multiscale models: A rewriting framework

Y Bin, W Belkhir, M Lenczner - International Journal for …, 2014 - dl.begellhouse.com
We introduce the first part of a framework for computer-aided derivation of multiscale
models. It relies on a combination of an asymptotic method used in the field of partial …

Development of a mathematical model and analytical solution of a coupled two-beam array with nonlinear tip forces for application to AFM

S Jackson, S Gutschmidt, D Roeser, T Sattel - Nonlinear Dynamics, 2017 - Springer
Utilising arrays of cantilevers has been identified as a method of increasing AFM sensitivity
and throughput beyond the limitations of current non-contact AFM. In order to develop the …

Towards an automatic tool for multi-scale model derivation illustrated with a micro-mirror array

W Belkhir, N Ratier, DD Nguyen, B Yang… - … on Symbolic and …, 2015 - ieeexplore.ieee.org
This paper reports recent advances in the development of a symbolic asymptotic modeling
software package, called MEMSALab, which will be used for automatic generation of …

Computer-aided multiscale model derivation for MEMS arrays

B Yang, W Belkhir, RN Dhara… - 2011 12th Intl. Conf …, 2011 - ieeexplore.ieee.org
We are currently developing software dedicated to multiscale and multiphysics modeling of
arrays of micro and nanosystems. Unlike traditional software that is based on models built …

A two-scale model for one-dimensional arrays of cantilevers and its verification

H Hui, M Lenczner, E Pillet, S Cogan - Mechatronics, 2012 - Elsevier
We present a simplified model of the mechanical behavior of large arrays of cantilevers in
the dynamic operating regime. The supporting base is assumed to be elastic thus cross-talk …

A multi-scale model of a micro-mirror array and an automatic model derivation tool

DD Nguyen, W Belkhir, N Ratier, B Yang… - … and Multi-Physics …, 2015 - ieeexplore.ieee.org
This paper reports recent advances in the development of a symbolic asymptotic modeling
software package MEMSALab which will be used for automatic generation of asymptotic …