Outputs (3)

Electromagnetic scattering by fractal screens: from diffraction integrals towards a boundary element method (2025)
Presentation / Conference Contribution

The scattering of time-harmonic electromagnetic fields by perfectly-conducting plane screens is a fundamental problem in physics. A standard approach to computing the scattered wave is to deploy Rayleigh-Sommerfeld diffraction integrals in conjunctio... Read More about Electromagnetic scattering by fractal screens: from diffraction integrals towards a boundary element method.

Counterpropagating waves in discrete nonlinear equations: instability spectra & spontaneous patterns (2025)
Presentation / Conference Contribution

Models such as the discrete nonlinear Schr¨odinger (dNLS) and Ablowitz-Ladik (AL) equations play fundamental roles in theoretical physics and applied mathematics. They often govern the dis- crete diffraction of waves travelling through periodic struc... Read More about Counterpropagating waves in discrete nonlinear equations: instability spectra & spontaneous patterns.

Discrete dynamics on C: periodic orbits, fractal boundaries, and basin entropy (2025)
Presentation / Conference Contribution

Iterative processes defined on the complex plane C provide a convenient arena for studying nonlinearity and possibly even chaos in two dimensions. Here, our attention will focus primarily on maps of two quite general classes in the presence of quadra... Read More about Discrete dynamics on C: periodic orbits, fractal boundaries, and basin entropy.