A VERTICAL DIPOLE OVER METAMATERIAL HALF-SPACE: DISTRIBUTION OF THE ELECTROMAGNETIC FIELD AND THE POYNTING VECTOR

Abstract

The problem of generalization of the classical results on the electric dipole radiation over the Earth's surface in the case of the left-handed metamaterial half-space is important for many practical applications related to the focusing of wave fields. It is desirable to do without undue simplifications: geometrical optics approximation, neglecting losses, restrictions on the wave packet associated with the introduction of the group velocity, neglecting the type (only monopole) of source. In the paper, the model problem of radiation of elementary electric dipole situated normally to the plane boundary between dissipative left-handed and ordinary media has been rigorously solved. The numerical simulation revealed the expected radar pattern-like structure of the reflected field in the first medium and complex (on average tapered) interference field structure with a pronounced maximum in the region of the left-handed metamaterial half-space. The spatial distribution of the electromagnetic field in two media, depending on the height of the dipole and the magnitude of losses in the left-handed metamaterial is presented. The analysis of the Poynting vector streamlines confirmed the hypothesis, previously put forward by the authors, that the change in sign of the tangential component at the interface, that is common for electromagnetic surface waves, is the cause of the focusing ability of the boundary between the normal and the left-handed media, rather than each of them individually.

Keywords

• boundary
• electric dipole
• electromagnetic field
• left-handed metamaterial