Erweiterte Suche der Leibniz Universität Hannover

One point quadrature of higher order finite and virtual elements in nonlinear analysis verfasst von Tobias Bode Abstract In the present article, a stability and consistency preserving integration scheme for polynomial Galerkin approaches of arbitrary order is presented.

In the case of active control of the quadrature phase noise, the noise is also limited by the intensity noise floor of the detection scheme. We also show that some sources of noise in the passively stabilized quadrature can be suppressed and that it is possible to achieve simultaneous quadrature amplitude and phase stabilization of a solid state laser. However, the quantum mechanically driven noise in the passively s...

A matrix free isogeometric Galerkin method for Karhunen Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature verfasst von Michal L. Mika, Thomas J.R. Hughes, Dominik Schillinger, Peter Wriggers, Ren R. Hiemstra Abstract The Karhunen Loève series expansion KLE decomposes a stochastic process into an infinite series of pairwise uncorrelated random variables and pairwise...

Experimental characterization of frequency dependent squeezed light verfasst von Simon Chelkowski, Henning Vahlbruch, Boris Hage, Alexander Franzen, Nico Lastzka, Karsten Danzmann, Roman Schnabel Abstract We report on the demonstration of broadband squeezed laser beams that show a frequency dependent orientation of the squeezing ellipse. Carrier frequency as well as quadrature angle were stably locked to a reference laser beam at 1064...

Experimental characterization of frequency dependent squeezed light verfasst von Simon Chelkowski, Henning Vahlbruch, Boris Hage, Alexander Franzen, Nico Lastzka, Karsten Danzmann, Roman Schnabel Abstract We report on the demonstration of broadband squeezed laser beams that show a frequency dependent orientation of the squeezing ellipse. Carrier frequency as well as quadrature angle were stably locked to a reference laser beam at 1064...

Welche Rolle sie in der Mathematik spielen, und was das mit der sprichtwörtlichen »Quadratur des Kreises« zu tun hat, erläutert ein Wis- senschaftler des Instituts für Algebra, Zahlentheorie und Diskrete Mathematik. (rationale) Zahl bestimmt.

Under random effects assumptions it is sometimes possible to employ conventional maximum likelihood methods using Gaussian quadrature to reduce a T dimensional integral. Alternatives are generalized methods of moments and simulated estimators. If the nonlinear function is not exactly known, nonparametric or semiparametric methods should be preferred.

To achieve a broadband nonclassical sensitivity improvement, we applied a filter cavity for compensation of quadrature rotation. The signal to noise ratio was improved by up to 2.8dB beyond the coherent state s shot noise. The complete setup was stably locked for arbitrary times and characterized by injected single sideband modulation fields.

This paper proposes several modified bivariate dimension reduction methods BDRM , based on two dimensional and one dimensional Gauss Hermite quadrature. Compared to the original BDRM, evaluating central moments by these modified BDRMs requires less computational effort. One numerical example is investigated, which demonstrate that two of the modified BDRMs can achieve good balance between accuracy and efficiency for statistical moment...

The technique allows the simultaneous measurement of the phase shifts induced by a cavity, which may be used for the purposes of frequency locking, as well as the simultaneous measurement of the sub quantum noise limited sub QNL phase quadrature output of the OPO. The homodyne locking technique is cheap, easy to implement, and has the distinct advantage that subsequent homodyne measurements are automatically phase locked.

In order to compute the contact integrals, we use a numerical integration based on the definition of the kinematical variables gap, slip and their variations at the quadrature points. The linearization of non linear equations virtual work and contact constraints is developed in order to apply a Newton s method.

Our security analysis applies to all states having an asymmetry in the field quadrature variances, including those generated by superposition of two squeezed modes with different squeezing strengths. Organisationseinheit en Institut für Gravitationsphysik Quest: Centre for Quantum Engineering and Space Time Research Institut für Theoretische Physik Externe Organisation en Max Planck Institut für Gravitationsphysik Albert Einstein Inst...

The goal of this paper is to experimentally determine the local impedance of each of these connections, as this influences the inductances of the complete damper winding system, especially along the quadrature axis. In addition to that, simplified calculation methods are developed for estimating this impedance. The findings of this research are relevant for providing the input parameters necessary to build a 2D transient model of the ...

VLSI Chip Set for 2D HDTV Subband Filtering with On Chip Line Memories verfasst von Marco Winzker, Klaus Grüger, Winfried Gehrke, Peter Pirsch Abstract A chip set for 2D subband filtering of HDTV signals has been designed, fabricated and successfully tested. The two chips perform 10 14 quadrature mirror filtering for analysis filtering at the coder and synthesis filtering at the decoder. In order to achieve a very compact realization,...

Mehrotra Abstract The rotational supersonic jet Fourier transform microwave FT MW spectra of the aromatic 2,6 difluorophenol DFP have been recorded and analyzed in the frequency range of 8 26 GHz. A new design of broadband FT MW spectroscopy with in phase/quadrature phase modulation passage acquired coherence technique IMPACT has been used to obtain the spectra rapidly at high resolution, obsoleting subsequent measurements with a reso...