Fractal surfaces and electromagnetic extended boundary conditions

@article{Franceschetti2002FractalSA,
  title={Fractal surfaces and electromagnetic extended boundary conditions},
  author={Giorgio Franceschetti and Antonio Iodice and Daniele Riccio and Giuseppe Ruello},
  journal={IEEE Trans. Geoscience and Remote Sensing},
  year={2002},
  volume={40},
  pages={1018-1031}
}
In this paper, we employ the extended boundary condition method with the Weierstrass–Mandelbrot (WM) fractal function to model and solve a relevant electromagnetic scattering problem. Key point of the procedure is the property of the WM to be an almost periodic function. This allows to generalize techniques employed for periodic problems and to express the field by means of a superposition of Floquet modes. The procedure is devised for the general case of dielectric surfaces. Criteria for… CONTINUE READING
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