Sofiane Soussi

Contact

Presentation

I am a lecturer at the department of mathematics and statistics at the University of Limerick.
I prepared my Ph.D. thesis under the supervision of Pr. Habib Ammari at the Centre de Mathématiques Appliquées of the Ecole Polytechnique.
The title of the thesis is "Mathematical modeling in optics". I studied electromagnetic diffraction by objects with nonlinear thin-coating and modelisation of photonic crystals.

Numerical simulations

• Wave propagation in periodic media.

Publications

• S. Soussi, Second-harmonic generation in the undepleted-pump approximation, SIAM MMS 4 (2005), no.1, 115-148.
• S. Soussi, Convergence of the supercell method for defect modes calculations in photonic crystals, SIAM J. Numer. Anal. 43 (2005), no. 3, 1175-1201.
• S. Soussi, Modeling photonic crystal fibers, Advances in Applied Mathematics 36 (2006), no. 3, 288-317.
• H. Ammari, H. Kang, S. Soussi, and H. Zribi, Layer potential techniques in spectral analysis. Part II: sensitivity analysis of spectral properties of high-contrast band-gap materials, SIAM MMS 5 (2006), no. 2, 646-663.
• S. Soussi and T. Hohage, Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides, J. Math. Pures Appl. (2012).

Working papers

• S. Soussi, Transparent boundary conditions for semi-infinite periodic waveguides.
• S. Soussi and H. Zribi, Asymptotic expansions for the voltage potentials with thin interfaces in the case of high contrast.
• T. Hohage and S. Soussi, Completeness of the Floquet modes for periodic waveguides.
• S. Soussi, Transparent boundary condition for the photonic canvity problem.