When a monochromatic electromagnetic plane wave is incident on an infinitely extending surface with the translation invariance property, a curious phenomenon often takes place at a low grazing angle of incidence, at which the total wave field vanishes and a dark shadow appears. This paper looks for physical and mathematical reasons why such a shadow occurs. Three cases are considered: wave refl...

background & aim: electromagnetic waves can damage sex organs and cause hormonal disorders, whereas garlic is known as reducing risk factors for various diseases. the aim of this study was to investigate the probable effects of mobile phone radiation and consumption of garlic on estrogen and progesterone levels and ovarian changes. experimental: five groups of rats (n = 8) were used which g...

Abstract. The recently introduced perfectly matched layer (PML) method is an efficient method to reduce the exterior wave propagation problem which is defined in the unbounded domain to the problem in the bounded domain. Under the assumption that the exterior solution is composed of outgoing waves only, the basic idea of the PML technique is to surround the computational domain by a layer of fi...

Molecular surface enhanced Raman scattering (SERS) in compact clusters of 30-70 nm Ag nanocrystals has shown single molecule Raman scattering cross sections that are orders of magnitude larger than free space single molecule luminescence cross sections. We analyze certain aspects of this phenomenon with new numerical electromagnetic calculations, and we also present new spectral depolarization ...

This work is concerned with a time harmonic scattering problem of electromagnetic waves from a two-dimensional open cavity embedded in the infinite ground plane. Because of the highly oscillatory nature of the solution for large or deep cavity, the model scattering problem is challenging both mathematically and computationally. A variational formulation reduces the scattering problem into a bou...

We consider the Dirac equation with two different four-potentials of the plane electromagnetic waves. We derive the partial differential equation for the wave function, which is generalized form of the Volkov equation. We find the solutions of the Dirac equation for two orthogonal plane waves. We determine the modified Compton formula for the scattering of two photons on an electron.

Electromagnetic bandgap structure consisting of an arbitrary number of cylinders are considered. In this paper, the scattering properties from this multilayered structure consisted of arbitrary shaped cylinders are analyzed. The method is used to study large varieties of configurations and structures in respect to varying shapes, sizes and material compositions. Practical applications are illus...