2019-01957 - "Numerical modeling of nanophotonic devices using high order finite element type solvers"

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 34 research teams as well as 8 support departments. The center's staff (about 500 people including 320 Inria employees) is made up of scientists of different nationalities (250 foreigners of 50 nationalities), engineers, technicians and administrative staff. 1/3 of the staff are civil servants, the others are contractual agents. The majority of the center’s research teams are located in Sophia Antipolis and Nice in the Alpes-Maritimes. Four teams are based in Montpellier and two teams are hosted in Bologna in Italy and Athens. The Center is a founding member of Université Côte d'Azur and partner of the I-site MUSE supported by the University of Montpellier.


Nachos is  a joint project-team  between Inria and  the Jean-Alexandre Dieudonné Mathematics Laboratory at  University Nice Sophia Antipolis. 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  to nanophotonics 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 either related to 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, or with modeling issues specific to concreate 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 conducted in close collaboration with external (academic and industrial) partners of the team, leveraging the DG-type high order finite element solvers of the DIOGENeS software suite. 


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;

- 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)