Reflection Of Electromagnetic Plane Waves Research Articles

Reflection of plane waves by rough surfaces in the sense of Born approximation

The topic of the present paper is the reflection of electromagnetic plane waves by rough surfaces, that is, by smooth and bounded perturbations of planar faces. Moreover, the contrast between the cover material and the substrate beneath the rough surface is supposed to be low. In this case, a modification of Stearns’ formula based on Born approximation and Fourier techniques is derived for a special class of surfaces. This class contains the graphs of functions where the interface function is a radially modulated almost periodic function. For the Born formula to converge, a sufficient and almost necessary condition is given. A further technical condition is defined, which guarantees the existence of the corresponding far field of the Born approximation. This far field contains plane waves, far-field terms such as those for bounded scatterers, and, additionally, a new type of terms. The derived formulas can be used for the fast numerical computations of far fields and for the statistics of random rough surfaces. Copyright © 2013 John Wiley & Sons, Ltd.

Reflection of electromagnetic plane waves in a long-wavelength approximation from a multilayer system of anisotropic transparent films on non-absorbing isotropic medium

The reflection of s- and p-polarised electromagnetic plane waves from an N-layer system of anisotropic dielectric films upon transparent homogeneous substrate is investigated in the long-wavelength approximation. The analytical expressions are obtained for the amplitude reflection (transmission) coefficients, reflectances (transmittances), and ellipsometric angles of an anisotropic multilayer thin-film system. All analytical results are in agreement with the numerical solution of the reflection problem for anisotropic stratified medium. The possibilities of using obtained expressions for resolving the inverse problem for ultrathin anisotropic films upon isotropic substrates are discussed.

Reflection of electromagnetic plane waves in a long-wavelength approximation from a multilayer system of anisotropic transparent films on absorbing medium

The propagation of s- and p-polarised electromagnetic plane waves in a N-layer system of anisotropic films on isotropic and homogeneous absorbing substrate is investigated in the long-wavelength limit. The analytical expressions are obtained for the reflection (transmission) coefficients and ellipsometric angles of an anisotropic multilayer system. All analytical results are correlated with the numerical solution of the reflection problem on the basis of rigorous electromagnetic theory for anisotropic layered systems. The possibilities of using obtained approximate formulae for resolving the inverse problem for ultrathin anisotropic dielectric films upon absorbing substrates are discussed.

Reflection of electromagnetic plane waves from a moving ferrite surface

The power reflection coefficient is derived for an electromagnetic H wave incident on a semi‐infinite magnetized ferrite medium, moving perpendicular to the plane of incidence. Both the speed of the moving media and the anisotropy of the ferrite contribute to hybrid modes of the reflected and transmitted electromagnetic field components. Double refraction at an anisotropic boundary is not new but what is interesting in this article is the effect of the speed of the moving ferrite on both the propagation constants and the power reflection coefficient.

Characteristics of reflection of electromagnetic plane waves from a semibounded plasma with a diffuse scattering boundary

The reflection of electromagnetic plane waves incident obliquely upon a semibounded, maxwellian plasma is investigated based on the kinetic theory. The perturbed velocity distribution function is assumed to satisfy the boundary condition of a diffuse scattering at the surface of the plasma. The numerical results of the reflection coefficients are presented for both cases of incidence of TM and TE waves. It is shown that as the temperature of plasma increases, the reflected energy from the diffuse scattering boundary is significantly reduced, especially within the frequency range of usual total reflection. This phenomenon is discussed at some length and is brought out to be closely related to a collisionless energy absorption by the surface charges which couple resonantly to the incident wave.