Dynamics of matter solitons in weakly modulated optical lattices

It is shown that matter solitons can be effectively managed by means of smooth variations of parameters of optical lattices in which the condensate is loaded. The phenomenon is based on the effect of lattice modulations on the carrier wave transporting the soliton and that is why is well understood in terms of the effective mass approach, where a particular spatial configuration of the band structure is of primary importance. Linear, parabolic, and spatially localized modulations are considered as the case examples. It is shown that these defects can originate accelerating and oscillating motion of matter solitons as well as simulate soliton interaction with attractive and repulsive defects.Comment: 6 pages, 7 figures (text with major revision

Cardiac Responses to β-adrenergic Stimulation and Induced Vasodilation are Similar in Young Male and Female Rats

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Polarization - dependent tunneling of light in gradient optics

Reflection-refraction properties of photonic barriers, formed by dielectric gradient nanofilms, for inclined incidence of both S- and P-polarized electromagnetic (EM) waves are examined by means of exactly solvable models. We present generalized Fresnel formulae, describing the influence of the non-local dispersion on reflectance and transmittance of single- and double-layer gradient photonic barriers for S- and P- waves and arbitrary angles of incidence. The non-local dispersion of such layers, arising due to a concave spatial profile of dielectric susceptibility across the plane film, is shown to result in a peculiar heterogeneity - induced optical anisotropy, providing the propagation of S(P) waves in tunneling (travelling) regimes. The results obtained indicate the possibility of narrow-band non-attenuated tunneling (complete transmittance) of oblique S- waves through such heterogeneous barriers, and the existence of spectral areas characterized by strong reflection of P-waves and deep contrast between transmitted S- and P-waves. The scalability of obtained exact analytical solutions of Maxwell equations into the different spectral ranges is discussed and the application potential of these phenomena for miniaturized polarizers and filters is demonstrated

Scattering properties of a PT dipole

Electromagnetic response of a PT dipole is studied both analytically and numerically. In the analytical approach, the dipole is represented by two point scatterers. Within the first Born approximation, the asymmetry of the scattering field with respect to the orientation of the dipole is proven. In numerical simulations, the dipole is represented by two infinitely long, parallel cylinders with opposite sign of the imaginary part of a refractive index. Numerical data confirm the validity of the Born approximation in the weak scattering limit, while significant deviations from the Born approximation were observed for stronger scatterers and in the near-field range.Peer ReviewedPostprint (published version

Aplikace teorie her na oligopolní struktury

V této bakalářské práci se věnujeme teorii her a její aplikaci na ekonomické modely oligopolů. Zaměřujeme se na určení optimálních strategií v nekooperativním konfliktu a na problematiku formování koalic a přerozdělování výhry v kooperativním typu konfliktu. Získané poznatky a charakteristiky následně uplatňujeme na různé modely oligopolů. Jednotlivé kapitoly jsou doplněny o krátké numerické příklady, pomocí kterých demonstrujeme vyloženou teorii. Tato práce nalezne využití v oblastech, kde se modelují konfliktní situace s využitím znalostí o volbě optimálních strategií.This bachelor thesis is devoted to the games theory and its application to economic models of oligopolies. We focus on determining optimal strategies in non-cooperative conflict and on the issue of coalitions forming and rewards redistribution in cooperative conflict. Lessons learned and characteristics obtained are afterwards applied to different models of oligopolies. Individual chapters are supplemented by short numerical examples which are used to demonstrate the explained theory. The application of this work is to be found in areas where conflict situations are modeled using the knowledge on the choice of optimal strategies.Department of Probability and Mathematical StatisticsKatedra pravděpodobnosti a matematické statistikyMatematicko-fyzikální fakultaFaculty of Mathematics and Physic

Cardiac Response to β2 - A drenergic Stimulation is Attenuated in Old Rats Despite Higher Protein Expression

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