Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka 560-0043, Japan (Dated: June 4, 2005) Abstract The first year Wilkinson Microwave Anisotropy Probe data favors primordial adiabatic fluctuation with a running spectral index with ns > 1 on a large scale and ns < 1 on a smaller scale. The model building of inflation that predicts perturbations with such...

Bending light in a controllable way is desired in various applications such as beam steering, navigating and cloaking. Different from the conventional way to bend light by refractive index gradient, transformation optics or special beams through wavefront design such as Airy beams and surface plasmons, we proposed a mechanism to bend light via resonant adiabatic optical transition between Floqu...

The transport of photons in steady, spherical, scattering flows is investigated. The moment equations are solved analytically for accretion onto a Schwarzschild black hole, taking into full account relativistic effects. We show that the emergent radiation spectrum is a power law at high frequencies with a spectral index smaller (harder spectrum) than in the non–relativistic case. Radiative tran...

The concept of adiabatic mode transformation between silicon waveguide and surface plasmon-polariton modes in subwavelength metal-dielectric slots is investigated. The mode transformer consists of a modulated-index slot region, which is bound by two metal slabs. Using the design scheme, we will show that the optical dispersion of a modulated-index metal slot waveguide can be engineered well abo...

An expression is found for the L 2-index of a Dirac operator coupled to a connection on a Un vector bundle over S 1 × R 3. Boundary conditions for the connection are given which ensure the coupled Dirac operator is Fred-holm. Callias' index theorem is used to calculate the index when the connection is independent of the coordinate on S 1. An excision theorem due to Gromov, Lawson, and Anghel re...

a computational fluid dynamic (cfd) study of methanol (meoh) to dimethyl ether (dme) process in an adiabatic fixed-bed reactor is presented. one of the methods of industrial dme production is the catalytic dehydration of meoh. kinetic model was derived based on bercic rate. the parameters of this equation for a specific catalyst were tuned by solving a one-dimensional homogenous model using mat...

Some properties of cosmological models with matter creation are investigated in the framework of the Friedman-Robertson-Walker (FRW) line element. For adiabatic matter creation, as developed by Prigogine and coworkers, we derive a simple expression relating the particle number density n and energy density ρ which holds regardless of the matter creation rate. The conditions to generate inflation...

The Harten–Lax–van Leer scheme is popularly used in the CFD community. However, oscillations are observed from shock tube problems for stiffened gases when the adiabatic index is greater than 3. To understand this phenomenon, the dissipation effect of the scheme is evaluated quantitatively in terms of dissipation matrices. We have proven and numerically demonstrated that lack of positive defini...

We show that light pulses can be stopped and stored coherently, with an all-optical adiabatic and reversible pulse bandwidth compression process. Such a process overcomes the fundamental bandwidth-delay constraint in optics and can generate arbitrarily small group velocities for any light pulse with a given bandwidth, without any coherent or resonant light-matter interactions. We exhibit this p...