Abstract We present several strategies for increasing the output laser power of near-diffraction limited continuous-wave Alexandrite lasers pumped by fibre-coupled red diodes. Laser mode size control using a convex mirror with varying thermal lens is shown to be an efficient method generating record levels from diode-pumped laser. 8.6 W obtained $$M^{2}&lt;1.1$$ <mml:math xmlns:mml="http://www....

A particularly challenging context for dimensionality reduction is multivariate circular data, that is, data supported on a torus. Such kind of appears, example, in the analysis various phenomena environmental sciences and astronomy, as well molecular structures. This article introduces Scaled Torus Principal Component Analysis (ST-PCA), novel approach to perform with toroidal data. ST-PCA find...

A conformal antenna array is analysed using an enhanced FDTD method. This antenna array is designed for use for in a channel sounder for characterising MIMO channels at UMTS frequencies, and (scaled to work at higher frequencies) may also be proposed as a MIMO antenna for wireless LANs. The FDTD model is shown to be extremely accurate for characterising important parameters of the array such as...

We prove a limit relation for the Dunkl–Bessel function of type BN with multiplicity parameters k1 on the roots ±ei and k2 on ±ei ± ej where k1 tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkltype Bessel function of type AN−1 with multiplicity k2. For certain values of k2 an improved estimate is obtained from a corresponding limit rela...

We investigate approximations of the vertex coupling on a star-shaped graph by families of operators with singularly scaled rank-one interactions. We find a family of vertex couplings, generalizing the δ′-interaction on the line, and show that with a suitable choice of the parameters they can be approximated in this way in the norm-resolvent sense. We also analyze spectral properties of the inv...

With the help of a multiconfigurational Green’s function approach we simulate single-electron Coulomb charging effects in gated ultimately scaled nanostructures which are beyond the scope of a self-consistent mean-field description. From the simulated Coulomb-blockade characteristics we derive effective system capacitances and demonstrate how quantum confinement effects give rise to corrections...

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

we study the limiting distribution of the degree of a given node in a scaled attachment random recursive tree, a generalized random recursive tree, which is introduced by devroye et. al (2011). in a scaled attachment random recursive tree, every node $i$ is attached to the node labeled $lfloor ix_i floor$ where $x_0$, $ldots$ , $x_n$ is a sequence of i.i.d. random variables, with support in [0,...