ABCD matrix for reflection and refraction of Gaussian beams at the surface of a parabola of revolution

We report the formulation of an ABCD matrix for reflection and refraction of Gaussian light beams at the surface of a parabola of revolution that separate media of different refractive indices based on optical phase matching. The equations for the spot sizes and wave-front radii of the beams are also obtained by using the ABCD matrix. With these matrices, we can more conveniently design and evaluate some special optical systems, including these kinds of elements. (c) 2005 Optical Society of America

Energy inequalities and error estimates for axisymmetric torsion of thin elastic shells of revolution

The problem motivating this investigation is that of pure axisymmetric torsion of an elastic shell of revolution. The analysis is carried out within the framework of the three-dimensional linear theory of elastic equilibrium for homogeneous, isotropic solids. The objective is the rigorous estimation of errors involved in the use of approximations based on thin shell theory.

The underlying boundary value problem is one of Neumann type for a second order elliptic operator. A systematic procedure for constructing pointwise estimates for the solution and its first derivatives is given for a general class of second-order elliptic boundary-value problems which includes the torsion problem as a special case.

The method used here rests on the construction of “energy inequalities” and on the subsequent deduction of pointwise estimates from the energy inequalities. This method removes certain drawbacks characteristic of pointwise estimates derived in some investigations of related areas.

Special interest is directed towards thin shells of constant thickness. The method enables us to estimate the error involved in a stress analysis in which the exact solution is replaced by an approximate one, and thus provides us with a means of assessing the quality of approximate solutions for axisymmetric torsion of thin shells.

Finally, the results of the present study are applied to the stress analysis of a circular cylindrical shell, and the quality of stress estimates derived here and those from a previous related publication are discussed.

Front pages with contents of No. 47, 1989.

Cover, Table of Contents

Report of the Inter-American Tropical Tuna Commission for the year 1989

ENGLISH: The Inter-American Tropical Tuna Commission operates under the authority and direction of a convention originally entered into by Costa Rica and the United States. The convention, which came into force in 1950, is open to adherence by other governments whose nationals fish for tropical tunas in the eastern Pacific Ocean. Under this provision Panama adhered in 1953, Ecuador in 1961, Mexico in 1964, Canada in 1968, Japan in 1970, and France and Nicaragua in 1973. Ecuador withdrew from the Commission in 1968, Mexico in 1978, Costa Rica in 1979, and Canada in 1984. Costa Rica re-adhered to the convention in 1989. The Commission held its 46th meeting in Paris, France, on May 10-12, 1989. SPANISH: La Comisión Interamericana del Atún Tropical funciona bajo la autoridad y dirección de un convenio suscrito originalmente por Costa Rica y los Estados Unidos de América. El convenio, vigente desde 1950, está abierto a la afiliación de cualquier pais cuyos ciudadanos pesquen atunes tropicales en el Oceano Pacífico oriental. Bajo esta estipulación, la República de Panamá se afilió en 1953, Ecuador en 1961, Mexico en 1964, Canadá en 1968, Japón en 1970, Francia y Nicaragua en 1973. Ecuador se retiró de la Comisión en 1968, México en 1978, Costa Rica en 1979 y Canadá en 1984. Costa Rica se adhirió de nuevo al Convenio en 1989. La Comisión celebró su XLVI Reunión en Paris (Francia) del 10 al 12 de mayo de 1989. (PDF contains 270 pages.)

Strategic ecosystem studies of large slow flowing lowland rivers. Progress report: April - October 1989

This report covers the period April to September, 1989. During this period sampling of invertebrates has concentrated on planktonic animals and those associated with one of the dominant macrophytes in the system, Nuphar lutea, the yellow water lily, since these are particularly important in the diets of larval and juvenile cyprinid fish. A proportion of samples has been partly analysed and some preliminary data are presented here.

Turbidity and plant growth in large slow-flowing lowland rivers. Progress Report: March 1989

The River Great Ouse is a highly managed large lowland river in eastern England. It drains rich arable land in the Midlands and Eastern England and over the years nutrient concentrations have increased and there is a general perception that the clarity of the water has decreased. The main river channels have been dredged a number of times partly for flood control reasons but also for recreational boating and navigation activities. The period covered by this first report has been used to develop specific methodology and instrumentation for measuring turbidity, suspended solids and underwater irradiance for conditions found in the middle abd lower reaches of the River Great Ouse. Sampling strategies have been developed and an extensive sampling programme is now underway covering phytoplankton, suspended solids and turbidity in relation to algal epiphyte growth on underwater macrophytes. Preliminary data are presented relating light levels on the river bed to the river bed profile, turbidity levels and phytoplankton chlorophyll a concentrations. Studies are underway concerning the extent of macrophyte cover and periphyton densities.

Back pages of No. 47, 1989

Back cover

Resultados da avaliação dos recursos de carapau e cavala nos bancos de Sofala e Boa Paz no período 1986-1989

Catch evolution, fish yield and specific composition of commercial catches as well as biomass reduction of the main species exploited were analysed and the stock assessments of horse and chub mackerels in the Sofala and Boa-Paz Banks were examined for the period 1986 to the first half of 1989.

Station hydrologique de Vridi et stations cotières de 1989 à 1991

In this report, accurate data from coastal stations and from the Vridi hydrological station were gathered. The used experiments took place from 1989 to 1991.

La pêche artisanale en lagune Aby (Côte d'Ivoire): analyse des captures en 1988 et 1989

The exploitation of fish stocks in Aby lagoon was marked by an increase of total fishing effort, yields and therefore by the increase of total production. Fishing effort evolution was due to: the increasing of the number of beach seines which has increased from 26 in 1987 to 32 in 1988, the reappearance of syndicat seines and finally the importance of fishing teams activity.