Geometry has played a crucial role in the formulation and understanding of mathematical
methods in electromagnetic theory. It was the pioneering work of James Clerk Maxwell and …

We consider the problem of scattering of optical or electromagnetic waves from a family of
irregular rough surfaces characterized by band-limited fractal functions. This method …

Rayleigh waves are well known to attenuate due to scattering when they propagate over a
rough surface. Theoretical investigations have derived analytical expressions linking the …

The reflection and transmission properties of finely divided fractal layers are investigated
and characterized. The results for electromagnetic or optical waves normally incident upon …

Since nature has provided us with structures of almost infinite complexity and variety, it is
apparent that some, and perhaps most, of these structures cannot be treated by traditional …

Fluctuations in scattered waves limit the performance of imaging and remote sensing
systems that operate on all wavelengths of the electromagnetic spectrum. To better …

We consider the scattering of electromagnetic waves from perfectly conducting fractal
surfaces. The surface is modeled by a multiscaled bandlimited continuous fractal function …

Analytical expressions are derived for the complex amplitude in the Fraunhofer diffraction
field of an arbitrary Koch fractal with a finite range of self-similarity. Results of the numerical …

Concepts of formation and propagation of radiation with a fractal amplitude–phase profile
are analyzed and systematized on a single methodological basis using main points of fractal …

The spatial chaos in optical fields that result from diffraction of plane waves by random-
phase objects with a larger-than-unity phase dispersion is studied. An analog method for …