Interaction of Bessel Light Beams with Epsilon-near-zero Metamaterials

The article explores possibilities and conditions of generation of a new type of diffraction-free needle-like field Bessel plasmon polaritons (BPPs) with super narrow cone angle in an epsilon-near-zero metamaterial, surrounded by semi-infinite dielectric media. Correct analytical expressions are obtained and analyzed in detail for the electric and magnetic fields of BPPs formed inside and outside the metamateral slab

Investigation of type-pi 2 geomagnetic pulsations at magnetoconjugate points

Type pi2 geomagnetic pulsations and Alfven wave resonance on night side of magnetospher

Characteristic and Minimal Polynomials In Problems

In linear algebra, the minimal polynomial of an n-by-n matrix A over a field F is the monic polynomial p(x) over F of least degree such that p(A)=0. Any other polynomial q with q(A)=0 is a (polynomial) multiple of p. The following three statements are equivalent: ??F is a root of p(x), ? is a root of the characteristic polynomial of A, ? is an eigenvalue of A. The multiplicity of a root ? of p(x) is the geometric multiplicity of ? and is the size of the largest Jordan block corresponding to ? and the dimension of the corresponding Eigen space. The minimal polynomial is not always the same as the characteristic polynomial

Interaction of Bessel Light Beams with Epsilon-near-zero Metamaterials

The article explores possibilities and conditions of generation of a new type of diffraction-free needle-like field Bessel plasmon polaritons (BPPs) with super narrow cone angle in an epsilon-near-zero metamaterial, surrounded by semi-infinite dielectric media. Correct analytical expressions are obtained and analyzed in detail for the electric and magnetic fields of BPPs formed inside and outside the metamateral slab

Specific features of spin, charge, and orbital ordering in cobaltites

Complex cobalt oxides known as cobaltites are reviewed, including LnCoO3-based perovskite-structured rare-earth cobaltites (where Ln is lanthanum or a lanthanide), quasi-two-dimensional and quasi-one-dimensional cobaltites of the types LnCo2O5+δ, La 2CoO4, and Ca3Co2O8, and NaxCoO2 yH2O superconducting compounds. Key experimental and theoretical results are presented, with emphasis on the interplay between charge, spin, and orbital degrees of freedom. Two problems of specific relevance to cobaltites - the spin state instability of Co3+ ions in LnCoO3, and the nature of superconductivity in Na xCoO2 yH2O - are also given significant attention. © 2009 Uspekhi Fizicheskikh Russian Academy of Sciences