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Journal articles on the topic 'Circular caustic'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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1

Leftheris, B. P., and J. M. Papazian. "Use of the Shadow Optical Method of Caustics to Predict Fatigue Crack Growth in Compression." Journal of Engineering Materials and Technology 114, no. 4 (1992): 399–405. http://dx.doi.org/10.1115/1.2904191.

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The shadow optical method of caustics has been applied to the measurement of the bulging out of the surface of aluminum alloy 7075-T6 in the vicinity of a blunt notch in a single edge notch tensile sample after a compression overload and during compression fatigue. The size and shape of the caustic were found to be sensitive functions of the amount of elastic and plastic strain in the vicinity of the notch. Examination of the caustic during application and after release of the overload shows the elastic zone to be larger and more circular than the plastic zone, as predicted. A crack was propag

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2

Alexandrov, A., V. Zhdanov, and A. Kuybarov. "Gravitational microlensing of an elliptical source near a fold caustic." Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 57 (2018): 10–15. http://dx.doi.org/10.17721/btsnua.2018.57.10-15.

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We consider the amplification factor for the luminosity of an extended source near the fold caustic of the gravitational lens. It is assumed that the source has elliptical shape, and the brightness distribution along the radial directions is Gaussian. During the microlensing event the total brightness of all microimages is observed, which changes when the source moves relative to the caustic. The main contribution to the variable component is given by the so-called critical images that arise/disappear at the intersection of the caustic by the source. In the present paper we obtained an analogo

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3

Rahim, Tariq, and Jia Dong Xu. "High Frequency Fields of the PEMC Elliptical Reflector Placed in Chiral Medium Using Maslov’s Method." International Journal of Engineering Research in Africa 25 (August 2016): 70–77. http://dx.doi.org/10.4028/www.scientific.net/jera.25.70.

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The high frequency field expressions are analyzed for perfect electromagnetic conducting (PEMC) elliptical reflector embedded in isotropic, homogeneous and reciprocal chiral medium. Geometric optics (GO) method is used to find the caustic region field for the PEMC elliptical reflector. However, GO fields are not valid around the caustic region due to the occurrence of un-realistic singularity around the caustic region. Therefore, Maslov’s method is used to derive the high frequency fields which are also valid in the vicinity of the caustic region. The effect of admittanceM of the PEMC boundary

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4

Chibishev, Andon, Natasha Simonovska-Veljanovska, and Zanina Pereska. "Artificial Nutrition in Therapeutic Approach of Acute Caustic Poisonings." Macedonian Journal of Medical Sciences 3, no. 2 (2017): 180. http://dx.doi.org/10.3889/mjms.1857-5773.2010.0102.

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Acutes corrosive poisonings can cause serious chemical injuries of the upper gastrointestinal tract, and they are localized most frequently in the esophagus and the stomach because the poison remains there a long time. Treatment of the acute corrosive intoxications include: neutralization of corrosive agents, antibiotics, corticosteroids, anti-secretory therapy, nutritional support, collagen synthesis inhibitors, esophageal dilation and stent placement, and surgery.The damaged mucosa, submucosa and muscle layer regenerate with great difficulty because of the surrounding inflammation, necrosis

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5

Marchant, T. R., and A. J. Roberts. "A variational approach to the problem of deep-water waves forming a circular caustic." Journal of Fluid Mechanics 194, no. -1 (1988): 581. http://dx.doi.org/10.1017/s002211208800312x.

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6

ALMALEH, Ahmad, Yutaka SAWAKI, and Kiyoshi ISOGIMI. "OS01W0077 Fundamental study of caustic experimental method in thermal stress analysis : Investigation for one or two dimensional stress field in circular disk." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003.2 (2003): _OS01W0077. http://dx.doi.org/10.1299/jsmeatem.2003.2._os01w0077.

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7

Marciano-Melchor, Magdalena, Enrique Montiel-Piña, Edwin Román-Hernández, et al. "Wavefronts, light rays and caustic of a circular wave reflected by an arbitrary smooth curve." Journal of Optics 13, no. 5 (2011): 055705. http://dx.doi.org/10.1088/2040-8978/13/5/055705.

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8

Appleby, J. C., and D. G. Crighton. "Internal gravity waves generated by oscillations of a sphere." Journal of Fluid Mechanics 183 (October 1987): 439–50. http://dx.doi.org/10.1017/s0022112087002714.

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We consider the radiation of internal gravity waves from a spherical body oscillating vertically in a stratified incompressible fluid. A near-field solution (under the Boussinesq approximation) is obtained by separation of variables in an elliptic problem, followed by analytic continuation to the frequencies ω < N of internal wave radiation. Matched expansions are used to relate this solution to a far-field solution in which non-Boussinesq terms are retained. In the outer near field there are parallel conical wavefronts between characteristic cones tangent to the body, but with a wavelength

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9

Nye, J. F. "Dislocation lines in the hyperbolic umbilic diffraction catastrophe." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2072 (2006): 2299–313. http://dx.doi.org/10.1098/rspa.2006.1683.

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The three-dimensional pattern of the hyperbolic umbilic diffraction catastrophe is computed from an integral representation. A detailed description is given of the geometrical arrangement of the wave dislocation lines (optical vortices) on which the diffraction pattern is based. From a crossed grid of nodal lines in the focal plane, two bundles of dislocation lines spring out symmetrically into the regions of 4-wave interference. Each dislocation line then follows a chain of curved segments which approximate successive steps along lattice vectors in the space group Fmmm . The result is a bundl

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10

Almaleh, Ahmad, Yutaka Sawaki, and Kiyoshi Isogimi. "OS1(4)-18(OS01W0077) Fundamental Study of Caustic Experimental Method in Thermal Stress Analysis : Investigation for One or Two Dimensional Stress Field in Circular Disk." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003 (2003): 148. http://dx.doi.org/10.1299/jsmeatem.2003.148.

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11

O’Riordan, C. M., S. J. Warren, and D. J. Mortlock. "Galaxy mass profiles from strong lensing II: The elliptical power-law model." Monthly Notices of the Royal Astronomical Society 496, no. 3 (2020): 3424–35. http://dx.doi.org/10.1093/mnras/staa1697.

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ABSTRACT We present a systematic analysis of the constraints σγ on the mass profile slope γ obtainable when fitting a singular power-law ellipsoid model to a typical strong lensing observation of an extended source. These results extend our previous analysis of circular systems, Paper I. We draw our results from 676 mock observations covering a range of image configurations, each created with a fixed signal to noise ratio S = 100 in the images. We analyse the results using a combination of theory and a simplified model which identifies the contribution to the constraints of the individual flux

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12

Behar, E., B. Tabone, M. Saillenfest, et al. "Solar wind dynamics around a comet." Astronomy & Astrophysics 620 (November 27, 2018): A35. http://dx.doi.org/10.1051/0004-6361/201832736.

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Aims. We aim at analytically modelling the solar wind proton trajectories during their interaction with a partially ionised cometary atmosphere, not in terms of bulk properties of the flow but in terms of single particle dynamics. Methods. We first derive a generalised gyromotion, in which the electric field is reduced to its motional component. Steady-state is assumed, and simplified models of the cometary density and of the electron fluid are used to express the force experienced by individual solar wind protons during the interaction. Results. A three-dimensional (3D) analytical expression

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13

Saillenfest, M., B. Tabone, and E. Behar. "Solar wind dynamics around a comet." Astronomy & Astrophysics 617 (September 2018): A99. http://dx.doi.org/10.1051/0004-6361/201832742.

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Aims. Observations of solar protons near comet 67P/Churyumov–Gerasimenko (67P) by the Rosetta spacecraft can be modelled by the planar motion in an effective magnetic field proportional to 1/r2. We aim to provide a thorough study of such dynamics, with a clear description of the behaviour of an incoming flux of particles. We will be able, then, to calibrate the free parameters of the model to Rosetta observations. Methods. Basic tools of dynamical analysis are used. They lead to a definition of the relevant parameters for the system and a classification of the possible types of trajectories. U

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14

Chapman, C. J. "Sound radiation from a cylindrical duct. Part 1. Ray structure of the duct modes and of the external field." Journal of Fluid Mechanics 281 (December 25, 1994): 293–311. http://dx.doi.org/10.1017/s0022112094003113.

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This paper determines the ray structure of a spinning acoustic mode propagating inside a semi-infinite circular cylindrical duct, and thereby determines the ray structure of the field radiated from the end of the duct. Inside the duct, but outside of a caustic cylindrical surface, the rays are piecewise linear helices; on striking the rim of the end-face of the duct, these rays produce ‘Keller cones’ of diffracted rays. The cones determine the structure of the radiated field: for example, no rays penetrate two cone-shaped far-field quiet zones centred on the duct axis; two rays pass through ea

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15

Lei, Zhen, and Mingsheng Zhao. "Experimental Study on the Dynamic Behavior of Running Crack Affected by Defect Shape and Filling Material." Shock and Vibration 2020 (March 13, 2020): 1–9. http://dx.doi.org/10.1155/2020/8495058.

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Using the caustics method and the experimental system of digital laser dynamic caustics, the model experiment of drop hammer impact loading was carried out, and the effect of the defect shape (circular and rectangular) and the filling material (air, epoxy, and silicone rubber) on the propagation behavior of the running crack was investigated. The experimental results show that, under the impact loading, the running crack initiates at the end of precrack and propagates toward the defect. After the running crack connects to the defect, it accumulates energy within a certain period before initiat

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16

Avendaño-Alejo, Maximino, Luis Castañeda, and Iván Moreno. "Caustics and wavefronts by multiple reflections in a circular surface." American Journal of Physics 78, no. 11 (2010): 1195–98. http://dx.doi.org/10.1119/1.3467891.

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17

Berry, Michael. "John Frederick Nye. 26 February 1923—8 January 2019." Biographical Memoirs of Fellows of the Royal Society 69 (June 10, 2020): 425–41. http://dx.doi.org/10.1098/rsbm.2020.0002.

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John Nye was an internationally renowned physicist who made fundamental contributions to the understanding of crystals, ice and light. He explored defects in crystal structures, in particular continuous distributions of dislocations. He explained the mechanics of the flow of glaciers: their advance and retreat, and how this depends on the underlying topography; and how water flows beneath and within them. He was a pioneer in the study of optical singularities on three levels: stable caustics in geometrical optics; phase singularities (wavefront dislocations) in scalar waves; and lines of circu

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18

Zhang, Jianlu. "Coexistence of period 2 and 3 caustics for deformative nearly circular billiard maps." Discrete & Continuous Dynamical Systems - A 39, no. 11 (2019): 6419–40. http://dx.doi.org/10.3934/dcds.2019278.

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19

XU, Weiqi, and Susumu TAKAHASHI. "Application of the Caustics Method to Bending Problem of Circular Plates with Clamped Edges." Transactions of the Japan Society of Mechanical Engineers Series A 62, no. 604 (1996): 2757–63. http://dx.doi.org/10.1299/kikaia.62.2757.

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20

Adler, C. L., James A. Lock, Bradley R. Stone, and Claudio J. Garcia. "High-order interior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder." Journal of the Optical Society of America A 14, no. 6 (1997): 1305. http://dx.doi.org/10.1364/josaa.14.001305.

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21

Marston, Philip L. "Applications to radiation and scattering of a wave front construction using the involute of circular virtual caustics." Journal of the Acoustical Society of America 87, S1 (1990): S50. http://dx.doi.org/10.1121/1.2028255.

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22

FUJIMOTO, Takashi, and Koji SHIMIZU. "201 A Study on Accuracy of the Technique of Defect Evaluation in Circular Rods by Ultrasonic Caustics." Proceedings of the 1992 Annual Meeting of JSME/MMD 2001 (2001): 117–18. http://dx.doi.org/10.1299/jsmezairiki.2001.0_117.

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23

Lock, James A. "Imaging through a homogeneous circular cylinder: the role of virtual caustics, rainbow glare points, and image fragmentation." Applied Optics 59, no. 21 (2020): F53. http://dx.doi.org/10.1364/ao.390330.

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24

Puttini, Rodolfo Franco, Alfredo Pereira Junior, and Luiz Roberto de Oliveira. "Modelos explicativos em saúde coletiva: abordagem biopsicossocial e auto-organização." Physis: Revista de Saúde Coletiva 20, no. 3 (2010): 753–67. http://dx.doi.org/10.1590/s0103-73312010000300004.

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A complexidade do processo saúde-doença tem ensejado a proposição de uma diversidade de modelos explicativos. Fazemos uma breve revisão dessas propostas, confrontando três perspectivas: o modelo oriundo da Medicina do século XIX, a lógica da História Natural da Doença e o debate epidemiológico no contexto da Medicina Social latino-americana. Tomando-se como referência teórica a ideia de causalidade circular presente na teoria da auto-organização, propomos que os fatores causais privilegiados em cada um dos modelos explicativos acima não seriam conflitantes. Uma noção-chave para se pensar o pro

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25

XU, Weiqi, and Susumu TAKAHASHI. "Basic Study on the Torsional Problem of Circular Bars with an Arc Groove Using the Reflected Caustics Method." Transactions of the Japan Society of Mechanical Engineers Series A 62, no. 593 (1996): 144–49. http://dx.doi.org/10.1299/kikaia.62.144.

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26

Lock, James A., Charles L. Adler, and Edward A. Hovenac. "Exterior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder: semiclassical scattering theory analysis." Journal of the Optical Society of America A 17, no. 10 (2000): 1846. http://dx.doi.org/10.1364/josaa.17.001846.

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27

Li, Fangzuo, Zhiguo Liu, and Tianxi Sun. "Annular beam high-intensity X-ray diffraction based on an ellipsoidal single-bounce monocapillary." Journal of Applied Crystallography 49, no. 2 (2016): 627–31. http://dx.doi.org/10.1107/s1600576716000376.

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This short communication presents a study of the use of an annular X-ray beam produced by an ellipsoidal single-bounce monocapillary (ESBC) to perform focal construct geometry (FCG) high-intensity angular-dispersive X-ray diffraction (ADXRD) in transmission mode. The ESBC optic effectively focused a large focal spot X-ray source into a smaller focal spot and produced a narrowed X-ray ring in the far-field pattern when combined with a beam stop. A CCD imaging detector was linearly translated along the principal axis of the ESBC-FCG and obtained the corresponding sequential images of diffraction

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28

Thumm, M. "Gyro-devices – natural sources of high-power high-order angular momentum millimeter-wave beams." Terahertz Science and Technology 13, no. 1 (2020): 1–21. http://dx.doi.org/10.1051/tst/2020131001.

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The Orbital Angular Momentum (OAM) carried by light beams with helical phasefront (vortex beams) has been widely employed in many applications such as optical tweezers, optical drives of micro-machines, atom trapping, and optical communication. OAM provides an additional dimension (diversity) to multiplexing techniques, which can be utilized in addition to conventional multiplexing methods to achieve higher data rates in wireless communication. OAM beams have been thoroughly studied and used in the optical regime but in the mm-wave and THz-wave region, they are still under investigation. In th

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29

Freitas, Mário Jorge Cardoso Coelho, and Patrícia Taeko Kaetsu. "A gestão dos recursos hídricos e da estiagem no Oeste Catarinense: contribuição para uma análise sistêmica complexa." Labor e Engenho 9, no. 4 (2015): 34. http://dx.doi.org/10.20396/lobore.v9i4.8642497.

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A abordagem sistêmica surgiu, essencialmente, a partir da dificuldade em utilizar a abordagem analítica para explicar fenômenos complexos que eram influenciados pelo contexto e pelas inter-relações. Os sistemas complexos são caracterizados por situações dinâmicas nas quais os problemas mudam ao interagir com outros problemas. Representam uma situação problemática para a qual é difícil formular as causas e consequências, uma vez que apresentam características de interdependência e multi-causalidades contínuas, circulares. Certos aspectos, vistos como causas, viram efeitos e vice-versa. Os sinto

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30

Cserti, József, András Pályi, and Csaba Péterfalvi. "Caustics due to a Negative Refractive Index in Circular Graphenep−nJunctions." Physical Review Letters 99, no. 24 (2007). http://dx.doi.org/10.1103/physrevlett.99.246801.

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31

Martínez-Niconoff, Gabriel, Gilberto Silva-Ortigoza, and Román Suárez-Xique. "Morphology of wave fronts and caustics associated with a circular wave refracted by an arbitrary curve: The two-dimensional axicon." Physical Review A 90, no. 5 (2014). http://dx.doi.org/10.1103/physreva.90.053803.

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32

Markides, Christos F. "A simple formula for calculating the tensile strength of brittle materials by means of the circular semi‐ring test and the optical method of caustics." Material Design & Processing Communications, March 2, 2020. http://dx.doi.org/10.1002/mdp2.162.

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33

Pavlidis, Adele, and David Rowe. "The Sporting Bubble as Gilded Cage." M/C Journal 24, no. 1 (2021). http://dx.doi.org/10.5204/mcj.2736.

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Introduction: Bubbles and Sport The ephemeral materiality of bubbles – beautiful, spectacular, and distracting but ultimately fragile – when applied to protect or conserve in the interests of sport-media profit, creates conditions that exacerbate existing inequalities in sport and society. Bubbles are usually something to watch, admire, and chase after in their brief yet shiny lives. There is supposed to be, technically, nothing inside them other than one or more gasses, and yet we constantly refer to people and objects being inside bubbles. The metaphor of the bubble has been used to describe

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