Transmission matrices and lumped parameter models for continuous systems

The use of transmission matrices and lumped parameter models for describing continuous systems is the subject of this study. Non-uniform continuous systems which play important roles in practical vibration problems, e.g., torsional oscillations in bars, transverse bending vibrations of beams, etc., are of primary importance.

A new approach for deriving closed form transmission matrices is applied to several classes of non-uniform continuous segments of one dimensional and beam systems. A power series expansion method is presented for determining approximate transmission matrices of any order for segments of non-uniform systems whose solutions cannot be found in closed form. This direct series method is shown to give results comparable to those of the improved lumped parameter models for one dimensional systems.

Four types of lumped parameter models are evaluated on the basis of the uniform continuous one dimensional system by comparing the behavior of the frequency root errors. The lumped parameter models which are based upon a close fit to the low frequency approximation of the exact transmission matrix, at the segment level, are shown to be superior. On this basis an improved lumped parameter model is recommended for approximating non-uniform segments. This new model is compared to a uniform segment approximation and error curves are presented for systems whose areas very quadratically and linearly. The effect of varying segment lengths is investigated for one dimensional systems and results indicate very little improvement in comparison to the use of equal length segments. For purposes of completeness, a brief summary of various lumped parameter models and other techniques which have previously been used to approximate the uniform Bernoulli-Euler beam is a given.

DIFFERENTIAL GEOMETRICAL METHODS IN THE STUDY OF OPTICAL-TRANSMISSION (SCALAR THEORY) .1. STATIC TRANSMISSION CASE

Static optical transmission is restudied by postulation of the optical path as the proper element in a three-dimensional Riemannian manifold (no torsion); this postulation can be applied to describe the light-medium interactive system. On the basis of the postulation, the behaviors of light transmitting through the medium with refractive index n are investigated, the investigation covering the realms of both geometrical optics and wave optics. The wave equation of light in static transmission is studied modally, the postulation being employed to derive the exact form of the optical field equation in a medium (in which the light is viewed as a single-component field). Correspondingly, the relationships concerning the conservation of optical fluid and the dynamic properties are given, and some simple applications of the theories mentioned are presented.

DIFFERENTIAL GEOMETRICAL METHODS IN THE STUDY OF OPTICAL-TRANSMISSION (SCALAR THEORY) .2. TIME-DEPENDENT TRANSMISSION THEORY

By generalization of the methods presented in Part I of the study [J. Opt. Soc. Am. A 12, 600 (1994)] to the four-dimensional (4D) Riemannian manifold case, the time-dependent behavior of light transmitting in a medium is investigated theoretically by the geodesic equation and curvature in a 4D manifold. In addition, the field equation is restudied, and the 4D conserved current of the optical fluid and its conservation equation are derived and applied to deduce the time-dependent general refractive index. On this basis the forces acting on the fluid are dynamically analyzed and the self-consistency analysis is given.

Electromagnetic fields and transmission properties in tapered hollow metallic waveguides

We analyze the electromagnetic spatital distributions and address an important issue of the transmission properties of spherical transverse-electric (TE) and transverse-magnetic (TM) eigenmodes within a tapered hollow metallic waveguide in detail. Explicit analytical expressions for the spatital distributions of electromagnetic field components, attenuation constant, phase constant and wave impedance are derived. Accurate eigenvalues obtained numerically are used to study the dependences of the transmission properties on the taper angle, the mode as well as the length of the waveguide. It is shown that all modes run continuously from a propagating through a transition to an evanescent region and the value of the attenuation increases as the distance from the cone vertex and the cone angle decrease. A strict distinction between pure propagating and pure evanescent modes cannot be achieved. One mode after the other reaches cutoff in the tapered hollow metallic waveguide as the distance from the cone vertex desreases. (C) 2008 Optical Society of America

Efeitos da suplementação oral com L-arginina e L-glutamina sobre a próstata ventral de ratos submetidos à irradiação

O objetivo deste trabalho foi verificar o possível efeito protetor da L-glutamina e da L-arginina sobre a próstata ventral de ratos quando administradas por gavagem. Procurou-se simular as condições clinicas de pacientes submetidos à radioterapia pélvica tendo como órgão alvo outro órgão pélvico que não a próstata. Foram analisados os efeitos desta irradiação sobre a próstata considerando este órgão como normal. Foram utilizados ratos Wistar divididos em quatro grupos: Controle, animais não submetidos à irradiação (n= 10); Irradiado, submetidos à irradiação abdominal e sem suplementação adicional de aminoácido por 21 dias (n= 10); Irradiado + Lglutamina, submetidos à irradiação abdominal e com suplementação adicional de L- glutamina por 21 dias (n= 10); e Irradiado + L-arginina, submetidos à irradiação abdominal e com suplementação adicional de L- arginina por 21 dias (n= 9). Os grupos foram mantidos em condições padrão de laboratório durante todas as etapas do experimento. Os animais submetidos à irradiação abdominal receberam uma dose única de 1000 cGy no dia 8 da experimentação. A Lglutamina e a L-arginina foram dissolvidas em água destilada e administrada por gavagem através da agulha IC-810. As próstatas foram removidas e processadas para inclusão em parafina. Foram estudados os seguintes parâmetros: estrutura acinar (área dos ácinos e altura do epitélio) e colágeno analisados por métodos morfométricos e peso corporal. O ganho de peso nos grupos suplementados foi significativamente maior se comparado ao grupo irradiado. Houve redução da altura do epitélio no grupo irradiado quando comparado ao controle. A altura do epitélio no grupo suplementado com L-arginina foi significativamente maior do que nos grupos irradiado e suplementado com L-glutamina. Houve diminuição, de aproximadamente 18%, da área dos ácinos no grupo suplementado com L-glutamina. Já no grupo suplementado com Larginina o valor foi similar ao do controle. O efeito da L-glutamina sobre o parênquima prostático foi o de manter proporcionalmente o colágeno, preservando a integridade da matriz extracelular. No grupo suplementado com L-arginina, apesar da discreta redução na distribuição proporcional de colágeno este também manteve índices semelhantes ao do controle. A radiação abdominal promoveu algumas modificações estruturais na próstata ventral de ratos. Essas modificações podem ser parcialmente prevenidas pela suplementação oral com L-glutamina e de L-arginina.

Optical transmission larger than 1 (T > 1) through ZnS-SiO2/AgOx/ZnS-SiO2 sandwiched thin films

Optical transmission through flat media should be smaller than 1. However, we have observed optical transmission up to T=1.18. The samples were ZnS-SiO2/AgOx/ZnS-SiO2 sandwiched thin films on glass substrate. The supertransmission could only be observed in the near field. We attribute the supertransmission to the lateral propagation relayed by the laser activated and decomposed Ag nanoparticles. (c) 2006 American Institute of Physics.