Estimation of space sensitivity of electromagnetic tool embedded in 3D medium

The paper introduces the general approach enabling to characterize quantitatively resolution capabilities of electromagnetic tools imbedded in 3D environment. On a base of the rigorous solution for electric fields we define spatial density of the contributions to the tool response and introduce a concept of volume of investigation in 3D space. The approach is used to analyze the detection capabilities of the azimuthal propagation tool embedded into a homogeneous space and two–layered medium.

The classical boundary problem of the transition of a spherical type-I superconductor to the normal state with increasing of the applied uniform magnetic field

A complicated boundary value problem of the transition of a macroscopic massive spherical type-I superconductor to the intermediate and normal state with increasing of the applied uniform magnetic field has been solved. Taking into account a penetration effect and exact boundary conditions the boundary problem has been solved completely and rigorously within the framework of the classical (non-quantum) electrodynamics of continuous mediums and the modified (simplified) nonlocal Pippard electrodynamics of spatially homogenous type-I superconductors. The principal object of this work is a self-consistent and exact setting of the boundary value problem and also its mathematically rigorous solution taking into account surface effects and nonlocality of Pippard type-I superconductors. The solution novelty is a description of the surface effects within the framework the modified (simplified) nonlocal Pippard electrodynamics. It is shown that disregarding for the surface effects in a theory of low-temperature superconductors can lead not only to computational mistakes, but also to incorrect qualitative conclusions. The conclusions about nature of a macroscopic spherical type-I superconductor to the intermediate and normal state have been drawn on the ground of a rigorous solution of the boundary problem and determination of the total magnetic field distribution in the whole space (inside and outside the superconducting sphere). These conclusions are in agreement with those, which have been drawn earlier by other authors on the ground of different approximate models and methods. Since the scientific results have been obtained by the authors on the basis of rigorous and self-consistent solution of the exactly set boundary problem, the work is undoubtedly of theoretical and methodical interest.

Calculation of Near Zone Electromagnetic Field Radiated from Sub-Wavelength Nanoaperture to a Plane Dielectric

The theoretical model of electromagnetic transmission through solitary sub-wavelength nanoapertures is considered. The model is based on a rigorous solution of the plane wave diffraction problem by a slot in the perfectly conducting screen of a finite thickness. The local energy of the electric field inside the plane dielectrics arranged behind the screen is used for calculations. The results demonstrate the principal features of the phenomenon that confirms that the diffraction theory can be applied successfully without the concept of surface plasmons.

Microwave Analysis of Scattered and Absorbed Powers of Semiconductor and Metamaterial Cylinder Structures

Here is presented our numerical investigations based on the rigorous solution of the Maxwell’s equations for analyses of absorbed and scattered powers of a semiconductor-metamaterial array with a window defect. The array structure consists of a finite set of infinite parallel, circular cylinders that can be made of the different lossy and/or lossless isotropic materials. We used our developed computer code, which allowed us to consider an array consisting of an arbitrary number of cylinders. According to our code, cylinders can be located at different distances and have differing diameters. There is a limitation: Cylinders should not cross each other. We numerically examined two cylindrical arrays with electromagnetic (EM) band-gap (EBG) defects. The absorbed and scattered powers were analyzed there for parallel and perpendicular polarizations of the incident microwave. We investigated dependencies on the operating frequency and the radius (R) of an arc of the arranged thirteen n-Si cylinders with the low semiconductor specific resistivity of 0.5, 2, and 10 Ω∙m. We have discovered that the arrays may have features of a waveguide or a microwave reflector.