Optimal beam forming for laser beam propagation through random media

Focusing optical beams on a target through random propagation media is very important in many applications such as free space optical communica- tions and laser weapons. Random media effects such as beam spread and scintillation can degrade the optical system's performance severely. Compensation schemes are needed in these applications to overcome these random media effcts. In this research, we investigated the optimal beams for two different optimization criteria: one is to maximize the concentrated received intensity and the other is to minimize the scintillation index at the target plane. In the study of the optimal beam to maximize the weighted integrated intensity, we derive a similarity relationship between pupil-plane phase screen and extended Huygens-Fresnel model, and demonstrate the limited utility of maximizing the average integrated intensity. In the study ofthe optimal beam to minimize the scintillation index, we derive the first- and second-order moments for the integrated intensity of multiple coherent modes. Hermite-Gaussian and Laguerre-Gaussian modes are used as the coherent modes to synthesize an optimal partially coherent beam. The optimal beams demonstrate evident reduction of scintillation index, and prove to be insensitive to the aperture averaging effect.

Introductory Mathematics for Quantum Chemistry

An elementary discussion of some of the mathematics employed in studying Quantum Chemistry in a style appropriate for persons who have not taken advanced mathematical instruction.

Aislamiento y caracterización de bacterias endosimbióticas procedentes de suelos contaminados por cobre en Chile

El uso intensivo de compuestos de cobre como herbicidas y fungicidas provoca la contaminación de suelos de uso agrícola debido a la acumulación de este metal en las capas más superficiales del suelo. Se sabe que la presencia de cobre y otros metales pesados afecta negativamente a las interacciones simbióticas que se establecen entre bacterias diazotróficas de los géneros Rhizobium, Sinorhizobium y Bradyrhizobium y leguminosas de interés agrícola (Laguerre et al., 2006). El objetivo de este trabajo es estudiar la diversidad de cepas endosimbióticas de leguminosas en suelos agrícolas chilenos que presentan un elevado contenido en cobre como resultado de la contaminación con residuos de extracciones mineras. Además, se pretende caracterizar el nivel de resistencia a cobre en las cepas aisladas con objeto de identificar aquellas altamente eficientes que puedan ser utilizadas como inoculantes microbianos. Para ello, se han prospectado 9 suelos agrícolas de las regiones III, V y VI de Chile con contenidos muy variables de metales. Utilizando estos suelos como inóculos de plantas trampa de leguminosas se ha obtenido una colección de 362 cepas aisladas de nódulos de guisante (Pisum sativum), judía (Phaseolus vulgaris) y alfalfa (Medicago sativa). Los análisis filogenéticos y los ensayos de resistencia a cobre realizados han permitido caracterizar y seleccionar aquellas cepas con mayores niveles de resistencia a este metal. Los resultados demuestran que los suelos altamente contaminados por cobre poseen una menor diversidad de bacterias endosimbióticas; las cepas más resistentes han sido aisladas de los suelos con niveles de contaminación intermedia. Los análisis fenotípicos y moleculares realizados sobre las cepas más resistentes han demostrado la existencia de sistemas de resistencia a cobre inducibles por este metal y potencialmente implicados en su homeostasis.

Metagenomic Anlaysis of microsymbiont selection by the legume plant host

Rhizobium leguminosarum bv.viciae is able to establish nitrogen-fixing symbioses with legumes of the genera Pisum, Lens, Lathyrus and Vicia. Classic studies using trap plants (Laguerre et al., Young et al.) provided evidence that different plant hosts are able to select different rhizobial genotypes among those available in a given soil. However, these studies were necessarily limited by the paucity of relevant biodiversity markers. We have now reappraised this problem with the help of genomic tools. A well-characterized agricultural soil (INRA Bretennieres) was used as source of rhizobia. Plants of Pisum sativum, Lens culinaris, Vicia sativa and V. faba were used as traps. Isolates from 100 nodules were pooled, and DNA from each pool was sequenced (BGI-Hong Kong; Illumina Hiseq 2000, 500 bp PE libraries, 100 bp reads, 12 Mreads). Reads were quality filtered (FastQC, Trimmomatic), mapped against reference R. leguminosarum genomes (Bowtie2, Samtools), and visualized (IGV). An important fraction of the filtered reads were not recruited by reference genomes, suggesting that plant isolates contain genes that are not present in the reference genomes. For this study, we focused on three conserved genomic regions: 16S-23S rDNA, atpD and nodDABC, and a Single Nucleotide Polymorphism (SNP) analysis was carried out with meta / multigenomes from each plant. Although the level of polymorphism varied (lowest in the rRNA region), polymorphic sites could be identified that define the specific soil population vs. reference genomes. More importantly, a plant-specific SNP distribution was observed. This could be confirmed with many other regions extracted from the reference genomes (data not shown). Our results confirm at the genomic level previous observations regarding plant selection of specific genotypes. We expect that further, ongoing comparative studies on differential meta / multigenomic sequences will identify specific gene components of the plant-selected genotypes

Genomics of host specificity in the Rhizobium-legume simbiosis

Most Rhizobium leguminosarum bv. viciae isolates are able to specifically nodulate plants of any of four different legume genera: Pisum, Lens, Vicia, and Lathyrus. However, previous evidence suggests that some genotypes are more adapted to a given plant host than others, and that the plant host can select specific genotypes among those present in a given soil population. We have used a population genomics approach to confirm that this is indeed the case, and to analyze the specific genotypic characteristics that each plant host selects

Agriculture de département de la Meuse.

At head of title: Ouvrage récomponsé par la Société d'encouragement pour l'industrie nationale.

ha-Milḥamah ṿeha-matsor : ṿe-hi lahaṭ ha-ḥerev ha-mithapekhet ben Tsarfat ṿe-Ashḳenaz ṿe-sikhsukhe Tsarfatim be-Tsarfatim.

Added t.p.: Ha-milchama we-ha-mazor; laguerre franco-allemande et les deux siéges de Paris (1870-71)

The novels, stories and sketches of F. Hopkinson Smith.

[v.1] Laguerre's and Well-worn roads.--[v.2] A white umbrella in Mexico and Other lands.--[v.3] Colonel Carter and other tales of the South.--[v.4] Tom Grogan.--[v.5] Gondola days.--[v.6] Caleb West, master diver.--[v.7] The other fellow and Tile club stories.--[v.8-9] The fortunes of Oliver Horn.--[v.10] The under dog.--[v.11] At close range.--[v.12] The wood fire in no.3.--[v.13] The tides of Barnegat.--[v.14] The veiled lady and other men and women.--[v.15] Colonel Carter's Christmas. The romance of an old-fashioned gentleman.--[v.16-17] Peter.

Recherches sur la géométrie de direction; méthodes de transformation; anticaustiques.

Available on demand as hard copy or computer file from Cornell University Library.

Essai sur le café.

Mode of access: Internet.

Mémoires de la Société des lettres, sciences et arts de Bar-le-Duc.

Ser. 2, v. 1-10 called also v. 11-20; ser. 3, v. 1-10 called also v. 21-30; ser. 4, v. 1-10 called also v. 31-40; ser. 5, v. 1- called also v. 41-

Mémoires de la Société des lettres, sciences et arts de Bar-le-Duc

Issued by: v.41-42, Sociétés des lettres, sciences et arts de Bar-le-Duc et de Commercy

Formal group laws and hypergraph colorings

Thesis (Ph.D.)--University of Washington, 2016-06

Modeling diffraction and imaging of laser beams by the mode-expansion method

We present a new method of modeling imaging of laser beams in the presence of diffraction. Our method is based on the concept of first orthogonally expanding the resultant diffraction field (that would have otherwise been obtained by the laborious application of the Huygens diffraction principle) and then representing it by an effective multimodal laser beam with different beam parameters. We show not only that the process of obtaining the new beam parameters is straightforward but also that it permits a different interpretation of the diffraction-caused focal shift in laser beams. All of the criteria that we have used to determine the minimum number of higher-order modes needed to accurately represent the diffraction field show that the mode-expansion method is numerically efficient. Finally, the characteristics of the mode-expansion method are such that it allows modeling of a vast array of diffraction problems, regardless of the characteristics of the incident laser beam, the diffracting element, or the observation plane. (C) 2005 Optical Society of America.

Mode control in multimode optical fibre and its applications

This thesis describes an investigation into methods for controlling the mode distribution in multimode optical fibres. The major contributions presented in this thesis are summarised below. Emerging standards for Gigabit Ethernet transmission over multimode optical fibre have led to a resurgence of interest in the precise control, and specification, of modal launch conditions. In particular, commercial LED and OTDR test equipment does not, in general, comply with these standards. There is therefore a need for mode control devices, which can ensure compliance with the standards. A novel device consisting of a point-load mode-scrambler in tandem with a mode-filter is described in this thesis. The device, which has been patented, may be tuned to achieve a wide range of mode distributions and has been implemented in a ruggedised package for field use. Various other techniques for mode control have been described in this work, including the use of Long Period Gratings and air-gap mode-filters. Some of the methods have been applied to other applications, such as speckle suppression and in sensor technology. A novel, self-referencing, sensor comprising two modal groups in the Mode Power Distribution has been designed and tested. The feasibility of a two-channel Mode Group Diversity Multiplexed system has been demonstrated over 985m. A test apparatus for measuring mode distribution has been designed and constructed. The apparatus consists of a purpose-built video microscope, and comprehensive control and analysis software written in Visual Basic. The system may be fitted with a Silicon camera or an InGaAs camera, for measurement in the 850nm and 130nm transmission windows respectively. A limitation of the measurement method, when applied to well-filled fibres, has been identified and an improvement to the method has been proposed, based on modelled Laguerre Gauss field solutions.