Analytic and asymptotic properties of non-symmetric Linnik's probability densities

The function

All-fiber wavemeter and Fourier-transform spectrometer

An all-fiber Fourier-transform spectrometer is proposed and demonstrated, based on the diffraction of light through the side of a standard optical fiber by a UV-induced fiber grating. The interference pattern, whose Fourier transform yields the optical spectrum, is formed by light diffracted from counterpropagating modes in the fiber. The device is simple and compact and functions as a wavemeter, a fiber-optic network monitor, or a tool for fabrication and testing of long fiber Bragg gratings.     

Micellization and intermicellar interactions in aqueous sodium dodecyl benzene sulfonate solutions

Quasielastic light scattering was used to investigate the size and shape of sodium dodecyl benzene sulfonate (SDBS) micelles in aqueous solutions. Measurements were made as a function of temperature and NaCl and SDBS concentrations. Light scattering data indicate that the micelles are spherocylinders with a semiminor axis of 22 Å. The length of the micelles increases strongly with salt concentration and decreases with temperature. The minimum micelle has an aggregation number of n⁰ = 28 and a hydrodynamic radius of R = 22 Å. Diffusion coefficient and intensity data were analyzed using a thermodynamic theory of micellar aggregation and a model based on DLVO theory of interactions.     

A penny-shaped crack in a filament-reinforced matrix—II. The crack problem

Using the filament model developed in the previous paper, the elastostatic interaction problem between a penny-shaped crack and a slender inclusion or filament in an elastic matrix is formulated. For a single filament as well as multiple identical filaments located symmetrically around the crack the problem is shown to reduce to a singular integral equation. The solution of the problem is obtained for various geometries and filament to-matrix stiffness ratios, and the results relating to the angular variation of the stress intensity factor and the maximum filament stress are presented.     

On unsteady motions of a second-order fluid over a plane wall

In this paper, three types of unsteady flows of second-order fluids are considered, namely, flow caused by impulsive motion of a flat plate, flow induced by a constantly accelerating plane and flow imposed by a flat plate that applies a constant tangential stress to the fluid. The previous attempts made regarding these problems, by using the Laplace transform, have failed. In this paper, the sine and the cosine transforms are used to solve these problems and exact solutions for the velocity distributions are found in terms of definite integrals. It is shown that these exact solutions satisfy the initial and the boundary conditions and the governing equation.     

A CRACK PROBLEM WITH A BROKEN LINE INTERFACE

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Mixed norm estimates for certain generalized Radon transforms

We obtain essentially optimal local mixed norm inequalities for certain generalized Radon transforms defined by integration over curves.

     

High density peptide microarrays. In situ synthesis and applications

The technologies enabling the creation of large scale, miniaturized peptide or protein microarrays are emerging. The focuses of this review are the synthesis and applications of peptide and peptidomimetic microarrays, especially the light directed parallel synthesis of individually addressable high density peptide microarrays using a novel photogenerated reagent chemistry and digital photolithography (Gao et al., 1998, J. Am. Chem. Soc. 120, 12698; Pellois et al. 2002, Nat. Biotechnol. 20, 922). Concepts related to the synthesis are discussed, such as the reactions of photogenerated acids in the deprotection step of peptide synthesis or oligonucleotide synthesis, and the applications of high density peptide chips in antibody binding assays are discussed. Peptide chips provide versatile tools for probing antigen-antibody, protein-protein, peptide-ligand interactions and are basic components for miniaturization, automation, and system integration in research and clinical diagnosis applications.     

Solgel-derived photosensitive germanosilicate glass monoliths

We demonstrate volume gratings written in solgel-derived, Ge-doped silica monoliths. Glass was fabricated both with and without germanium oxygen deficient center (GODC) defects. The UV absorption and UV-induced index changes of these glasses, with and without hydrogen loading, are reported. The presence of GODC defects greatly enhances the photosensitivity of Ge-doped silica with and without the presence of hydrogen.     

Heat transfer due to the flow through a conical tube

Résumé On étudie la distribution de la température dans un fluide visqueux incompressible s'écoulant dans un tube conique. On fait également la comparaison de la distribution de température entre deux parois inclinées non-parallèles à celle du tube conique précédemment étudiée.