2022-04404 - Development and application of high order finite element solvers for nanoscale light-matter interactions

Contract type : Fixed-term contract

Renewable contract : Oui

Level of qualifications required : Graduate degree or equivalent

Other valued qualifications : Thèse

Fonction : Temporary scientific engineer

Level of experience : Recently graduated

About the research centre or Inria department

The Inria Sophia Antipolis - Méditerranée center counts 37 research teams and 9 support departments. The center's staff (about 600 people including 400 Inria employees) is composed of scientists of different nationalities (250 foreigners of 50 nationalities), engineers, technicians and administrators. 1/3 of the staff are civil servants, the others are contractual. The majority of the research teams at the center are located in Sophia Antipolis and Nice in the Alpes-Maritimes. Six teams are based in Montpellier and a team is hosted by the computer science department of the University of Bologna in Italy. The Center is a member of the University and Institution Community (ComUE) "Université Côte d'Azur (UCA)".


Atlantis is  a joint project-team  between Inria and  the Jean-Alexandre Dieudonné Mathematics Laboratory at  Université Côte d'Azur. The team  gathers applied mathematicians and  computational scientists who are collaboratively undertaking  research activities aiming at the design, analysis, development and  application of innovative numerical methods for systems of  partial differential equations (PDEs) modelling nanoscale light-matter interaction problems. In this context, the team is  developing  the   DIOGENeS  [https://diogenes.inria.fr/]  software suite,  which  implements  several Discontinuous  Galerkin  (DG)  type methods tailored to the systems  of time- and frequency-domain Maxwell equations  possibly coupled  to  differential  equations modeling  the behaviour of propagation  media at optical frequencies.  DIOGENeS is a unique  numerical   framework  leveraging   the  capabilities   of  DG techniques  for  the simulation  of  multiscale  problems relevant  tonanophotonics and nanoplasmonics.


The main objective of this assignement is to further enhance the capabilities of the DG-type high order finite element solvers developed in the framework of the DIOGENeS software suite, and to demonstrate the benefits of these solvers through the study of realistic uses cases pertaning to various applications of nanoscale light-matter interactions. In particular, the team is now actively collaborating with potential end-users of the DIOGENeS software suite who are raising various modeling issues that need to be addressed prior to simulating such realistic uses cases.

Main activities

More precisely,  the successful  candidate will  be assigned  two main tasks.   On one  hand,  he/she will develop new methodological functionalities in the various components of the DIOGENeS software suite. These new features are concerned with generic core properties of  DG-type high order finite element methods for the system of time-domain and frequency-domain Maxwell equations coupled to appropriate differential models of the behaviour of nanostructured materials under optical illumination, and with the geometrical modeling of nanoscale devices involved in concrete applications. This part of the work will be conducted in close collaboration with Ph.D  and postdoctoral fellows of the team who  are  currently investigating  innovative finite element  solvers for the solution of  the PDE models relevant to nanophotonics and nanoplasmonics. On the  other hand, he/she will be in charge of several numerical studies dealing with the concept of metasurfaces, which are at the heart of planar photonics also referred as flat optics or metaoptics. During the last decade, metasurfaces have been extensively studied due to their ability to precisely control the phase, amplitude, and wavefront of light. These light-matter interactions are mediated by ensembles of subwavelength meta-atoms, made of plasmonic or high dielectric refractive index materials, which have thicknesses within the range of the operating wavelength. Our team is currently engaged in several collaborations with researchers from  academic laboratories and private companies, to exploit the DG-type high order finite element solvers of the DIOGENeS software suite for the design of metasurfaces. In particular, this position could lead to a permanent job with one of the team's industrial partners.


Candidates will  hold a Master degree or a PhD degree in applied mathematics/scientific computing or computational wave physics or computational photonics.

Required skills:
- Sound knowledge of numerical analysis and development of finite element  type methods for computational physics;
- A concrete experience in numerical modeling for computational electromagnetics   will be an asset;

- Strong programming skills and exposure to object-oriented model;

- Knowledge and experience of Fortran 95/2000x and Python programming languages;

- Fluent spoken and written English.


Benefits package

  • Subsidised catering service
  • Partially-reimbursed public transport
  • Social security
  • Paid leave
  • Flexible working hours
  • Sports facilities


Gross salary : between 2632€ and 2936€ (depends on the experience)