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Post-Doc: a hybrid wavelet-based method for the tropospheric long-range propagation over the sea for detection applications

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Location: ENSTA Bretagne, 2 Rue François Verny, 29806 Brest Cedex 09, France.

Laboratory: Lab-STICC – UMR CNRS 6285

A hybrid wavelet-based method for the tropospheric long-range propagation over the sea for detection applications


ENSTA Bretagne brings together on its campus, located in Brest (France), an engineering school and a multidisciplinary research center, i.e. 910 students in the engineering cycle, engineering training by apprenticeship, master's degree, specialized master's or thesis. This public establishment trains generalist engineers, capable of ensuring, in an international environment, the design and production of high-tech systems for all sectors of industry: naval, aerospace, automotive, telecommunications, energy, defense, etc. . The fields of specialization offered at ENSTA Bretagne are broad, thus covering marine sciences (naval architecture, renewable marine energies, hydrography, observation systems, and autonomous robotics) and multidisciplinary technological challenges (mechanical modeling, vehicle architecture, pyrotechnics, digital systems and security, management industrial projects). Research work, most often carried out in strong partnership with industrials partners, is carried out within multi-establishment laboratories: in information and communication technologies (Lab-STICC, UMR CNRS 6285), in mechanical sciences (IRDL, UMR CNRS 6027), and in human and social sciences (CRF, EA 1410).

Job localization:

The position is located at ENSTA Bretagne within the lab-STIC department. It consists of around a hundred people, including around forty permanent staff. The teaching areas are mainly found in the following specialties: observation systems (acoustics, electromagnetics, etc.), hydrography, robotics, artificial intelligence, software modeling, and system security (cyber defense). The teacher-researchers of the department are, for the most part, members of the Lab-STICC (Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance, UMR CNRS 6285) of which ENSTA Bretagne is responsible. The laboratory structures research "from sensors to knowledge: communicate and decide" in Bretagne and brings together more than 500 people, including 220 researchers from different institutions: CNRS, ENIB, ENSTA Bretagne, IMT Atlantique, UBO, and UBS.


This study is part of a collaboration between ENSTA Bretagne and the DGA (Direction Générale de l'Armement). This is a 12-month contract (renewable up to 36 months). The main objective is to propose a fast method to model tropospheric propagation above the sea surface over long distances in the presence of structures (ships, wind turbines, etc.). In this context, the expected contributions of the candidate are as follows:

  • A critical state-of-the-art on hybrid methods for taking into account (metallic) structures in the propagation channel. In particular, the recruited person will focus on the hybridization of methods based on the Parabolic Wave Equation (EP) and Physical Optics (OP) then with the method of Integral Equations (EI). A critical state-of-the-art on the use of the wavelet transform in IEs is also expected.
  • Handling and development of the (two-way) Split-step Wavelet (SSW) code for tropospheric propagation above the sea surface.
  • Development and validation (numerical and by experimentation) of the hybrid method (SSW+OP+SSW) for antenna-target-antenna propagation.
  • Development and validation (numerical and by experimentation) of the hybrid method (EI+SSW) for taking into account a target in the binding. The method will then be improved by using wavelets in the EI method to obtain a consistent method.

Key-words: EM wave propagation, tropospheric propagation, computational electromagnetic methods, natural environment, asymptotic methods, rigorous methods, wavelet.


We are looking for a candidate holding a Ph.D. in one of the domains indicated in the objective. Moreover, one or more of the following skills are required:

  • Propagation and interaction of EM waves with metallic targets
  • Computational electromagnetic methods
  • Programming skills in: Matlab, Python, etc.
  • Good oral and writing level in English

Some skills in signal theory, in particular the wavelet transform, would be appreciated.

Salary: between 1820 € and 2008 € per month depending on the candidate’s experience

Beginning: March 2023
Contract duration: 12 months (up to 36s months)

To candidate:

Send a CV and a motivation letter to:


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