Full L-band coverage of multiwavelength erbium-doped fiber laser

We propose and experimentally demonstrate a dual-pass unbalanced in-line Sagnac interferometer as a novel comb filter for implements in erbium-doped fiber lasers to obtain wide wavebands of multiwavelength radiations with enhancements of signal-to-noise ratios (SNRs). The hybrid combinations of the comb filter with the two schemes of nonlinear polarization rotation and intensity dependent loss have successfully not only enlarged the lasing bandwidth up to 47 nm but also enhanced the SNR up to 40 dB. The simultaneous lasing-wavelengths of 117 channels are also obtained. The multiwavelength lasing spectra with free spectral range of 0.4 nm covering the full L-band are useful for the applications of DWDM and WDM-PON systems.     

Hot-electron-driven enhancement of spin-lattice coupling in Gd and Tb 4f ferromagnets observed by femtosecond x-ray magnetic circular dichroism

Femtosecond x-ray magnetic circular dichroism was used to study the time-dependent magnetic moment of 4f electrons in the ferromagnets Gd and Tb, which are known for their different spin-lattice coupling. We observe a two-step demagnetization with an ultrafast demagnetization time of 750 fs identical for both systems and slower times which differ sizeably with 40 ps for Gd and 8 ps for Tb. We conclude that spin-lattice coupling in the electronically excited state is enhanced up to 50 times compared to equilibrium.     

Nuclear Forces from Effective Field Theory

Chiral effective field theory allows for a systematic and model-independent derivation of the forces between nucleons in harmony with the symmetries of the quantum chromodynamics. After a brief review on the current status in the development of the chiral nuclear forces I will focus on the role of the ??-resonance contributions in the nuclear dynamics. We find improvement in the convergence of the chiral expansion of the nuclear forces if we explicitly take into account the ??-resonance degrees of freedom. The overall results for two-nucleon forces with and without explicit ??-resonance degrees of freedom are remarkably similar.     

Three-loop anomalous dimensions for squarks in supersymmetric QCD

In this Letter we evaluate the renormalization constants and anomalous dimensions for the squark wave function and mass within supersymmetric QCD. These results complement the ones obtained in Harlander et al. (2009) [1] and thus provide further confirmation on the applicability of dimensional reduction to supersymmetric QCD at three-loop order. The three-loop anomalous dimension constitute important input to precision predictions of the supersymmetric mass spectrum as obtained from the evolution from the GUT to the TeV energy scale.     

T-groups,polycyclic groups,and finite quotients

A group is called a T-group if all of its subnormal subgroups are normal. In this note we consider the following question: Assume that G is a polycyclic group. What can be said about G if all finite epimorphic images H of G satisfy one of the following conditions: (i) H is a T-group,(ii) \({H/\Phi (H)}\) is a T-group,(iii) H/Z _*(H) is a T-group. We will see that the prime 2 will play a particular role in (ii) and (iii), see Theorems C and D.     

Exclusion regions for optimization problems

Branch and bound methods for finding all solutions of a global optimization problem in a box frequently have the difficulty that subboxes containing no solution cannot be easily eliminated if they are close to the global minimum. This has the effect that near each global minimum, and in the process of solving the problem also near the currently best found local minimum, many small boxes are created by repeated splitting, whose processing often dominates the total work spent on the global search. This paper discusses the reasons for the occurrence of this so-called cluster effect, and how to reduce the cluster effect by defining exclusion regions around each local minimum found, that are guaranteed to contain no other local minimum and hence can safely be discarded. In addition, we will introduce a method for verifying the existence of a feasible point close to an approximate local minimum. These exclusion regions are constructed using uniqueness tests based on the Krawczyk operator and make use of first, second and third order information on the objective and constraint functions.     

Bound constrained interval global optimization in the COCONUT Environment

We introduce a new interval global optimization method for solving bound constrained problems. The method originates from a small standalone software and is implemented in the COCONUT Environment, a framework designed for the development of complex algorithms, containing numerous state-of-the-art methods in a common software platform. The original algorithm is enhanced by various new methods implemented in COCONUT, regarding both interval function evaluations (such as first and second order derivatives with backward automatic differentiation, slopes, slopes of derivatives, bicentered forms, evaluations on the Karush–John conditions, etc.) and algorithmic elements (inclusion/exclusion boxes, local search, constraint propagation). This resulted in a substantial performance increase as compared to the original code. During the selection of the best combination of options, we performed comparison tests that gave empirical answers to long-lasting algorithmic questions (such as whether to use interval gradients or use slopes instead), that have never been studied numerically in such detail before. The new algorithm, called coco_gop_ex, was tested against the prestigious BARON software on an extensive set of bound constrained problems. We found that in addition to accepting a wider class of bound constrained problems and providing more output information (by locating all global minimizers), coco_gop_ex is competitive with BARON in terms of the solution success rates (with the exception of a set of nonlinear least squares problems), and it often outperforms BARON in running time. In particular, coco_gop_ex was around 21 % faster on average over the set of problems solved by both software systems.