We demonstrate UV generation in CSB3O5 (CBO) crystals grown by the top-seeded solution growth technique. 355-nm UV light was generated by use of a type II CBO crystal as a sum frequency of the fundamental light and the second harmonic of a nanosecond Nd:YVO4 laser. A 3.0-W output of the third-harmonic was obtained at a repetition rate of 31 kHz. The conversion efficiency from the fundamental light to the third harmonic reached 30%, which was 1.5 times higher than that obtained with a type II LiB3O5 crystal under the same experimental conditions.
We study the level spacing distribution p(s) in the spectrum of random networks. According to our numerical results, the shape of p(s) in the Erdős-Rényi (E-R) random graph is determined by the average degree k and p(s) undergoes a dramatic change when k is varied around the critical point of the percolation transition, k = 1. When k 1, the p(s) is described by the statistics of the Gaussian orthogonal ensemble (GOE), one of the major statistical ensembles in Random Matrix Theory, whereas at k = 1 it follows the Poisson level spacing distribution. Closely above the critical point, p(s) can be described in terms of an intermediate distribution between Poisson and the GOE, the Brodydistribution. Furthermore, below the critical point p(s) can be given with the help of the regularized Gamma-function. Motivated by these results, we analyse the behaviour of p(s) in real networks such as the internet, a word association network and a protein-protein interaction network as well. When the giant component of these networks is destroyed in a node deletion process simulating the networks subjected to intentional attack, their level spacing distribution undergoes a similar transition to that of the E-R graph.
Some new results on stress invariance in plane anisotropic elasticity are presented.We show that, for a uaction boundary value problem. the stress field in a plane anisotropic elastic body with discontjnuous moduli and a variety of interface conditions remains invariant with an appropriate constant shift in elastic compliances. The reduced dependence of stress on elastic constants is then discussed in light of this result. It is also shown that for the same class of interface wnditions, the effective compliances of an anisotropic wmposite undergo precisely the same shift. * Presented under the title 'Theoretical and wmputational issues in constitutive modeling of composites with compliant interlaym' a1 the IUTAM Symposium on Computational Mechanics of Materials. 1993, Brown R M Radok (Groningen: NoordhofO Maran B and Gosz M 1992 On the constitutive response of fiber composites with imperfect interfaces Proc. 8th Annual ASWESD Advanced Composites CO@? (Chicago. I L 1992) (Materials Park, OH: ASM International) PP 261-6 Neumeister J M 1992 On the role of elastic constants in multiphase contact problems T r m . ASME, 1. Appl, Mech. 92-APM-29 Suo Z 1990 Singularities. interfaces and cracks in dissimilar anisotropic media Pmc. R. Soc. A 427 331-58 Thorpe M F and Jasiuk I 1992 New resulrs in the theory of elasticity for hvodimensional composites Proc. R, A D de Pater and J J Mer (Delft Delft University Press) pp 5 U 6 London A 443 289-300 compliant interphases 1. Mech Phys. Solids 40 1789-1803 Soc. A 438 531-44
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