The discovery of the visible light-emitting diode (LED) 50 years ago by Holonyak and Bevacqua and the associated demonstration of the viability of the III-V semiconductor alloy created a foundational basis for the field of optoelectronics. Key advances which enabled the progression from the first visible LED to today's III-V photonic integrated circuits (PICs) are described. Furthermore, the current state-of-the-art 500-Gb/s and 1-Tb/s large-scale InP transmitter and receiver PICs and their essential role in the optical communications networks are reviewed.

MOTIVATION: Although information from protein dynamics simulation is important to understand principles of architecture of a protein structure and its function, simulations such as molecular dynamics and Monte Carlo are very CPU-intensive. Although the ability of normal mode analysis (NMA) is limited because of the need for a harmonic approximation on which NMA is based, NMA is adequate to carry out routine analyses on many proteins to compute aspects of the collective motions essential to protein dynamics and function. Furthermore, it is hoped that realistic animations of the protein dynamics can be observed easily without expensive software and hardware, and that the dynamic properties for various proteins can be compared with each other. RESULTS: ProMode, a database collecting NMA results on protein molecules, was constructed. The NMA calculations are performed with a full-atom model, by using dihedral angles as independent variables, faster and more efficiently than the calculations using Cartesian coordinates. In ProMode, an animation of the normal mode vibration is played with a free plug-in, Chime (MDL Information Systems, Inc.). With the full-atom model, the realistic three-dimensional motions at an atomic level are displayed with Chime. The dynamic domains and their mutual screw motions defined from the NMA results are also displayed. Properties for each normal mode vibration and their time averages, e.g. fluctuations of atom positions, fluctuations of dihedral angles and correlations between the atomic motions, are also presented graphically for characterizing the collective motions in more detail. AVAILABILITY: http://promode.socs.waseda.ac.jp

Systematic design methods for multifilters and multiwavelets are presented. Explicit formulae are given for aliasing cancellation in biorthogonal multifilter banks. The relationship with vector transforms over the real or finite fields is described.