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# Interaction of a plane electromagnetic wave with a structure consisting of a strip grating, a metamaterial layer, and magnetized plasma: resonance effects and their interpretation

Radiophysics and Quantum Electronics (Impact Factor: 1.01). 09/2011; 54(4):251-263. DOI: 10.1007/s11141-011-9287-3

**ABSTRACT** We reduce the boundary-value problem of the diffraction of a plane electromagnetic wave by a structure, which consists of

a strip grating, a metamaterial layer, and magnetized plasma, to a system of linear algebraic second-kind equations with the

kernel operator. Resonance properties of this structure are studied, and it is found that in the low-frequency range, it has

several series of an infinite number of resonance frequencies with condensation points at certain finite frequencies.

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**ABSTRACT:**Publisher’s description: The initial boundary value problems considered in the book describe the transient electromagnetic fields formed by open periodic, compact, and waveguide resonators. The methods and algorithms which are developed and the mathematical and physical results obtained provides a basis on which a modern theory for the scattering of resonant non-harmonic waves can be developed. The need for the creation of such a theory is acutely felt in the many applications of resonant pulsed fields, since accurate and reliable modeling of their formation, radiation, and scattering are to a large extent lacking. One of the principal goals of the book is to present solidly based and robust algorithms for such structures with substantially increased efficiency that allow the extraction of complete and accurate information concerning the scattering of transient electromagnetic waves by complex objects. The determination and visualization of the electromagnetic fields in such situations, based on realistic models for the material parameters and geometrical shape, simplifies and significantly speeds up the solution of a wide class of fundamental and applied problems in electromagnetic field theory. The book provides a systematic approach to scattering of transient fields which, with advantage, can be introduced in undergraduate or graduate courses in theoretical and applied radiophysics and different engineering specialities, such as antenna and wave-guide technology. More generally, the book should be of interest to scientists in applied mathematics, computer science and computational physics. - [Show abstract] [Hide abstract]

**ABSTRACT:**We present and analyze theoretically some ideas for thin one-dimensional (1D) cavity resonators in which a combination of a conventional dielectric material and a metamaterial possessing negative permittivity and permeability has been inserted. It is shown that a slab of metamaterial with negative permittivity and permeability can act as a phase compensator/conjugator and, thus, by combining such a slab with another slab made of a conventional dielectric material, one can, in principle, have a 1D cavity resonator whose dispersion relation may not depend on the sum of thicknesses of the interior materials filling this cavity, but instead it depends on the ratio of these thicknesses. In other words, one can, in principle, conceptualize a 1D cavity resonator with the total thickness far less than the conventional /spl lambda//2. Mathematical steps and physical intuitions relevant to this problem are presented.IEEE Antennas and Wireless Propagation Letters 02/2002; 1(1-1):10 - 13. DOI:10.1109/LAWP.2002.802576 · 1.95 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The fundamental electromagnetic properties of left-handed materials (LHMs) are reviewed and verified by finite-element method full-wave analysis using rectangular waveguide structures loaded by a LHM and adopting an effective medium approach. The negative phase velocity, positive intrinsic impedance, and modified boundary conditions at an interface with a right-handed medium are verified by loading a waveguide section with a LHM that has edges perpendicular to the waveguide axis. In addition, the negative angle of refraction is demonstrated by loading the junction of a T-junction waveguide with a LHM having one edge 45° with respect to the waveguide axis. These properties are shown by the evolution of wave fronts in the LHM and by analysis of the S-parameters of the waveguide structures. © 2001 American Institute of Physics.Journal of Applied Physics 01/2002; 90(11-90):5483 - 5486. DOI:10.1063/1.1408261 · 2.19 Impact Factor

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