Phd: Multiscale Models for Arrays of Microsystems
Research Area: Applied Mathematics, Mechanics, Scientific Computation
Required Background: Partial Differential Equations, Continuum Mechanics, Numerical Methods, Programming skill
Grant: Supported by the Region Council of Franche-Comté, FRANCE

Expected work: At FEMTO-ST, we are developing both new mathematical tools and a software dedicated to this new field of Arrays of Microsystems described hereafter. During the thesis, we aim at deriving general multi-scale multi-physical models able to cover large classes of these systems. The multi-scale mathematical methods will be rooted in recently developed techniques, as homogenization in strongly heterogeneous media for dynamical problems, our new wave two-scale convergence and two-scale convergence in periodic electrical networks. Part of mathematical modeling will be done in collaboration with the Laboratory of Mathematics at Besançon.

Arrays of Microsystems: Micro-fabrication techniques yield a large variety of devices used as sensors, as actuators or even as complete systems including sensors/actuators/control processing. In an increasing number of applications, there is an interest in designing networks of micro-systems (in a same chip) instead of single ones. They are made of a repetition of a same unit or of a parameterized unit.

We cite a number of micro-system arrays, some of them being fabricated in our institute: Cantilever Arrays (like for Atomic Force Microscope Arrays, with a large range of applications in nanosciences and nanotechnologies), Micro-mirror arrays, or Micro-lens arrays (used for beamers, adaptive telescopes, lithography masks, as well as for numerous optic filters for optic fibers or laser arrays), Coupled Resonator arrays, Acoustic Probes based on micro-fabricated transducers (operating thanks to a capacitive, or a piezoelectric or a magneto-strictive effect), Surface or Body Acoustic Waves devices (converting acoustic waves into electric signal and reciprocally, used in particular for phone cells), Photonic crystals or Phononic structures (for emission, transmission, amplification, detection, and modulation of wave light or acoustic waves), and Micro-membrane arrays (for pressure regulation or for sonography and other acoustic applications).

Contact and Technical Staff
Michel LENCZNER
FEMTO-ST, Frequency-Time Department
32, rue de l’Observatoire
25044 Besançon Cedex - FRANCE
email: michel.lenczner[ at ]utbm.fr
Tél : 03 81 83 26 69 / 03 81 85 39 89

• PhD Scholarship in Applied Mathematics and Scientific Computing, FEMTO-ST, Besançon, FRANCE
• PhD Scholarships in Various Research Projects at Universitat Politècnica de Catalunya, Spain
• PhD Studentships in Behaviour, Choices and Markets, University of Aberdeen, UK
• PhD Studentships, Bournemouth University, UK
• PhD Studentships in Software Engineering, The Lero Graduate School in Software Engineering (LGSSE), Ireland
• Graduate and Postdoctoral Research in Medical Engineering, School of Electrical & Electronic Engineering, Nanyang Technological University, Singapore
• PhD Position in Computer Graphics and Geometric Modeling, University of Strasbourg, France
• PhD Studentship, Imperial College London, UK
• PhD Studentships in Film and Media, Bradford Media School, University of Bradford, UK
• France Scholarships | Beasiswa Perancis