A New Family of Multiphysics and Multiscale Models of MicroMirror Arrays
PhD Scholarship in Applied Mathematics and Scientific Computing, FEMTO-ST Besançon, and Laboratoire d’Astrophysique de Marseille, France
Applications are invited for a three year PhD scholarship in the framework of a collaboration between the FEMTO-ST Institute (see www.femto-st.fr) in Besançon, and Laboratory of Astrophysics (LAM) in Marseille (www.lam.fr) in FRANCE.
First closing date for applications: June 3th, 2016.
This PhD thesis is in the context of development of mathematical tools and software MEMSALab for aided design of multi-physics and multi-scale systems based on asymptotic methods. The first applications are for arrays of micro-systems and nano-systems, but broader range of applications are expected. The multi-scale model construction starts from a system of partial differential equations and combines principles of multi-scale approximation with symbolic computation methods from computer sciences. MEMSALab is an implementation of such mathematical model derivations by rewriting techniques. In the medium term, it will allow to automatically generate a wide class of multi-scale models. By nature, they are also systems of partial differential equations, but much less expensive to solve by a computer. Once built, they should be automatically transferred to a finite element software package. In our package, we complement it by a toolkit for parameter optimization and calibration.
The PhD thesis will derive a multi-scale model for a family of Micro-Optical-Mechanical Systems including a family of LAM’s arrays of micro-mirrors. Mathematical techniques will be established for more general modeling in MEMSALab. A model of micro-mirror array will be used for simulation, design optimization, parameter calibration and to prepare an optimized version of one of the devices.
Arrays of micro-mirrors are designed for generating slit masks at the entrance of multi-object spectrographs (MOS) in Astronomy. This astronomical technique is used extensively to investigate the formation and evolution of galaxies. MOS with multi-slits is the best approach to eliminate the problem of spectral confusion, to optimize the quality and the SNR of the spectra, to reach fainter limiting fluxes and to maximize the scientific return both in cosmology and in legacy science. Conventional masks or complex fiber-optics-based mechanisms are limited for future space and ground-based telescopes. The programmable multi-slit mask requires remote control of the multi-slit configuration in real time. A promising solution is the use of micro-electro-optical-mechanical system (MOEMS) devices such as micro-mirror arrays, generating reflective slits. This device is also foreseen for applications in Physics or Biology. LAM, in collaboration with CSEM (Switzerland), are engaged in a European development of micro-mirror arrays for generating reflective slit masks. Prototypes with 2048 individually addressable micro-mirrors made of single-crystalline silicon were successfully designed, fabricated and tested.
The scholarship is valued at about 1,740€ gross per month for three years. Application to a room on the campus is possible for low rate. Applicants should have a good undergraduate degree and a master in Pure or Applied Mathematics including a good background in Partial Differential Equations.
Please email a CV, marks and ranking since the first university year, a letter of motivation, one or two recommendation letters to Dr. Michel Lenczner and Dr. Frédéric Zamkotsian. The contacts for this project are: Dr. Michel Lenczner, FEMTO-ST 26, Chemin de l’épitaphe 25030 Besançon. Phone: +33 (0) 3 81 40 28 27, e-mail: michel.lenczner[at]univ-fcomte.fr or Dr. Frédéric Zamkotsian, LAM-CNRS, 38 rue Frédéric Joliot-Curie, 13388 Marseille Cedex 13. Phone: +33 (0) 4 95 04 4151, e-mail: frederic.zamkotsian[at]lam.fr.