Modelling of diffraction in pillar vertical cavity surface-emitting lasers with embedded Bragg layers

An analytical expression for the reflectivity between the active cavity of a circular symmetric pillar vertical cavity surface-emitting laser (VCSEL) and Bragg mirror, which takes account of diffraction at the interface, is derived. The method (mode-matching in Hankel space) is also used to determine the reflectivity with some of the Bragg layers embedded in the cavity region. The dependence of reflectivity upon various parameters, including number of Bragg pairs, cavity radius and mode number, is discussed. The validity of using the plane wave reflectivity value (which ignores diffraction effects) is seen to depend significantly upon these parameters. As an indicator of the importance of taking these effects into account for pillar diameters of 6 m and less, the variation of threshold gain with cavity radius is given for a commonly used type of VCSEL structure.     

High-throughput screening assay for the tunable selection of protein ligands

Here, we describe a new protein-ligand binding assay that is amenable to high-throughput screening applications. The assay involves the use of SUPREX (stability of unpurified proteins from rates of H/D exchange), a new H/D exchange and mass spectrometry-based technique we recently developed for the quantitative analysis of protein-ligand binding interactions. As part of this work, we describe a new high-throughput SUPREX protocol, and we demonstrate that this protocol can be used to efficiently screen peptide ligands in a model combinatorial library for binding to a model protein system, the S-protein. The high-throughput SUPREX protocol developed here is generally applicable to a wide variety of protein ligands, including DNA, small molecules, metals, and other proteins. On the basis of the results of the model study in this work, one person with access to one MALDI mass spectrometer should be able to screen approximately 10 000 compounds per 24-h period using the protocol described here. With full automation and the use of a commercially available MALDI mass spectrometer optimized for high-throughput analyses, we estimate that the SUPREX-based assay described here could be used to screen on the order of 100 000 ligands per day.     

The radial part of Brownian motion II. Its life and times on the cut locus

Summary This paper is a sequel to Kendall (1987), which explained how the Itô formula for the radial part of Brownian motionX on a Riemannian manifold can be extended to hold for all time including those times a whichX visits the cut locus. This extension consists of the subtraction of a correction term, a continuous predictable non-decreasing processL which changes only whenX visits the cut locus. In this paper we derive a representation onL in terms of measures of local time ofX on the cut locus. In analytic terms we compute an expression for the singular part of the Laplacian of the Riemannian distance function. The work uses a relationship of the Riemannian distance function to convexity, first described by Wu (1979) and applied to radial parts of -martingales in Kendall (1993).The first author's research was supported by a visiting fellowship awarded by the UK Science and Engineering Council, by travel funds provided by a European Community SCIENCE initiative, by the Max-Planck-Institute of Bonn, and by a grant from NSA     

Implementation of the direct SCF and RPA methods on loosely coupled networks of workstations

The use of a cluster of workstations as an alternative supercomputer resource is demonstrated using the ab initio direct SCF and RPA code DISCO. DISCO was implemented using several different mechanisms to achieve the requisite parallelization. The various parallel software mechanisms are characterized based upon several different criteria, including portability, ease of use, and relative efficiency. The application of direct SCF and RPA techniques to study the static polarizability of paranitroaniline is described. © 1993 John Wiley & Sons, Inc.     

Energy partitioning and reaction dynamics in the chemiluminescent channel of the reaction: HS + O3 → HSO* + O2

The title reaction forms electronically excited HSO(òA′) directly, with considerable vibrational and rotational excitation as well. The internal excitation of the HSO fragment is the maximum possible consistent with the concurrent formation of an O₂(¹Δ_g) molecule as the other reaction product. The observed vibrational excitation peaks in the υ′= 2 level of the υ₃ mode. No evidence about possible excitation of the other vibrational modes of HSO could be obtained.