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Telecommunications and Radio Engineering

ISSN Print: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v75.i18.10
pages 1607-1623

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

A. M. Stadnyk
O.Ya. Usikov Institute for Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkiv 61085, Ukraine
A. O. Silin
O.Ya. Usikov Institute for Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkiv 61085, Ukraine

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, and neglecting the type (only monopole) of source. In the paper, the model problem of radiation of the elementary electric dipole situated normally to the interface plane between dissipative left-handed and ordinry 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 coneshaped) interference field structure with an apparent peak 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 interface between the ordinary and the left-handed media, rather than each of them individually.