We study quadratic solitons supported by two- and three-wave parametric interactions in chi((2)) nonlinear media. Both planar and two-dimensional cases are considered. We obtain very accurate, "almost exact," explicit analytical solutions, matching the actual bright soliton profiles, with the help of a specially developed approach, based on analysis of the scaling properties. Additionally, we u...

It has been demonstrated recently that it is possible to guide broadband terahertz pulses utilising a novel coaxial waveguide. This technique is hindered by the difficulty in exciting the radially polarised fundamental mode of the waveguide. To optimise mode matching, a novel radially symmetric photoconductive terahertz antenna is proposed. Using finite element method simulations and analytical...

We derive an analytical solution for the wage from an alternating-offer wage bargaining game à la Hall and Milgrom (2008) under a plausible parameter restriction. This solution is simple, micro-founded and permits a transparent analysis of the driving forces of wages. We argue that it can be used in a wide range of economic models incorporating the search and matching theory of unemployment to ...

We present an analytical technique for solving Fokker-Planck equations that have a steady-state solution by representing the solution as an infinite product rather than, as usual, an infinite sum. This method has many advantages: automatically ensuring positivity of the resulting approximation, and by design exactly matching both the short- and long-term behaviour. The efficacy of the technique...

Continuous flow analysis using an elemental analyzer interfaced with an isotope ratio mass spectrometer (EA-IRMS) is faster and requires much less material than conventional analytical methods. Although using an EA-IRMS is simple and fast, accurate calibration strongly depends on matching sample and reference peak heights by adjusting the sample weight. This paper describes a new modification f...

Uncertain graphs are employed to describe graph models with indeterministicinformation that produced by human beings. This paper aims to study themaximum matching problem in uncertain graphs.The number of edges of a maximum matching in a graph is called matching numberof the graph. Due to the existence of uncertain edges, the matching number of an uncertain graph is essentially an uncertain var...

Sending compressed video data in error-prone environments (like the Internet and wireless networks) might cause data degradation. Error concealment techniques try to conceal the received data in the decoder side. In this paper, an adaptive boundary matching algorithm is presented for recovering the damaged motion vectors (MVs). This algorithm uses an outer boundary matching or directional tempo...

Tolerance intervals are widely used in industrial applications. So far attention has been mainly focused on the construction of tolerance intervals for continuous distributions. In this paper we introduce a unified analytical approach to the construction of tolerance intervals for discrete distributions in exponential families with quadratic variance functions. These tolerance intervals are sho...

We derive model equations for the propagation of ultrashort pulses in materials with resonant linear and quadratic nonlinear responses and find approximate soliton solutions describing all-bright and dark-bright polaritons. We report the specific phase matching condition for efficient 2nd harmonic generation, which involves detuning from the resonance. We also demonstrate that the 2nd harmonic ...

The capability of the adaptive optics to correct for the segmentation error is analyzed in terms of the residual wavefront RMS and the power spectral density of the phase. The analytical model and the end-to-end simulation give qualitatively equal results justifying the significance of the geometrical matching between segmentation geometry and the actuators/subaperture distribution of the adapt...