Leonid Aleksandrovich Pazynin

Imaging Properties of Finite Maxwell Fish Eye Medium

The imaging properties of the Maxwell medium filling a spherical finite-radius domain have been analyzed. An analytical expression has been obtained for the field of the radial electric dipole inside the sphere. It is shown that the finite Maxwell medium of arbitrarily large size cannot overcome classical Abbes diffraction limit in optical systems. Perfect imaging in the infinite Maxwell medium is the consequence of its electrodynamic closure, i.e., the absence of waves outgoing to infinity.

Pulsed Radiation From a Line Electric Current Near a Planar Interface: A Novel Technique

A novel technique has been suggested for the analysis of a transient electromagnetic field generated by a pulsed line current that is located near a planar interface between two dielectric nonabsorbing and nondispersive media. As distinct from the Cagniard-de Hoop method, which is widely used for the study of transient fields both in electrodynamics and in the theory of acoustic and seismic waves, our approach is based on the transformation of the domain of integration in the integral expression for the field in the space of two complex variables. As a result, it will suffice to use the standard procedure of finding of roots of the algebraic equation rather than construct auxiliary Carniards contours. A fresh type of the representation for the field has been derived in the form of an integral along a finite contour. The algorithm based on the representation of this kind may work as the most efficient tool for calculating fields in multilayered media. The method suggested allows extension to the case of arbitrary dipole sources.

Radial electric dipole inside finite Maxwell medium

An analytical expression for the field of the radial electric dipole inside the finite Maxwell Fish Eye (MFE) medium is obtained. It is found that arbitrarily large size medium cannot outperform classical Abbes diffraction limit.