publications

The purpose of this text is to enclose, in reasonable dimensions, several of the most significant arguments in the theory and applications of Electromagnetism, without renouncing a serious analytical treatment and trying to preserve the consistency of the contents. Intermediate mathematical derivations were also included to facilitate understanding. After an exposition of the main equations and basic theorems, the volume describes the flat electromagnetic waves, transmission lines and waveguides, the concept of Green’s function.

In a recent article published in the Journal of the Optical Society of America, an analytical solution for the diffraction of electromagnetic waves by a sphere buried in a dielectric was presented. The solution was obtained thanks to the developments in spherical harmonics of the incident plane wave and the presence of the interface was considered thanks to the plane wave spectrum of the spherical harmonics. A code for the calculation of the diffracted field was also produced and comparisons were made with the literature and simulations obtained with commercial software. The obtained code has a high precision and speed of calculation if compared to the current software that use the finite element method.

In a recent article, published in the optics letters magazine, it was shown how it is possible to penetrate a dissipative medium with a non-uniform plane wave that is attenuated only parallel to the interface, or that does not attenuate moving away from it. To obtain this phenomenon, however, the incident wave must also be non-uniform, which is possible both if the source medium has losses and if the source medium is an ideal dielectric.

In a recent article, published in the journal geoscience and remote sensing letters, the procedure for calculating the scattered field from a buried cylinder, known as the Cylindrical Wave Approach, was generalized to the case in which the cylinder is immersed in a leaky medium. The result was achieved by calculating the reactive integrals to the plane wave spectrum of the cylindrical harmonics in the case where the reflection index of the medium in which they propagate is a complex number.