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Relevant bibliographies by topics / Circular caustic

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Academic literature on the topic 'Circular caustic'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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Journal articles on the topic "Circular caustic"

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 (October 1, 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 propagated through the plastic zone using only far-field cyclic compression loading: the crack was self-arresting at the edge of the elasticplastic boundary created by the initial compression overload. The size of the plastic zone as measured by the caustic was found to agree with the maximum length of the crack. The actual surface profile in the vicinity of the notch was measured and its shape was used along with geometrical arguments to develop a model for interpretation of the caustics results. These results indicate that the caustics technique can be used to detect the presence of a plastic zone at the tip of a notch after a compressive overload, and that the size of this zone as measured by caustics is approximately equal to the size as determined by subsequent fatigue crack propagation.

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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 analogous formula for elliptical Gaussian source. The formula involves a dependence on the coordinates of the source centre, its geometric dimensions, and its orientation relative to the caustic. We show that in the linear caustic approximation the amplification of the circular and elliptical sources is described by the same (rescaled) formula. However, in the next approximations the differences are significant. We compare analytical calculations of the amplification curves for different orientations of an elliptical source and for a circular source with the same luminosity for the model example.

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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 and the chirality parameter kβ on the high frequency fields are illustrated by plotting the numerical results using MATLAB software. A special case of PEMC circular reflector is also discussed.

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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 (February 12, 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 and secondary complications. Tissue fibrosis, adhesions or circular stenosis appear, which greatly disturb the normal functioning (impeded peristaltic, impeded passage). All these complicate the entire general condition of the patient, including inadequate normal food intake, loss of body weight, prostration, cachexia. These patients are also into a severe general condition due to hypercatabolic state and negative alkali balance. Therefore, early nutritional support is of substantial importance in treatment of these patients. Nutritional support can be given by parenteral way in peripheral or central vein and by enteral way through specially designed tubes inserted in the stomach or intestines, prepyloric or postpyloric.The type of artificial nutritional support will depend on the grade of esophageal or gastric damage determined by endoscopy.

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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 (September 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, Alfonso Rosado, José Guadalupe Santiago-Santiago, Gilberto Silva-Ortigoza, Ramón Silva-Ortigoza, and Román Suárez-Xique. "Wavefronts, light rays and caustic of a circular wave reflected by an arbitrary smooth curve." Journal of Optics 13, no. 5 (March 24, 2011): 055705. http://dx.doi.org/10.1088/2040-8978/13/5/055705.

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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 found to be shorter than that for oscillations of a circular cylinder. It is also found that there are caustic pressure singularities above and below the body where the characteristics intersect. Far from the source, non-Boussinesq effects cause a diffraction of energy out of the cones. The far-field wave-fronts are hyperboloidal, with horizontal axes. The case of horizontal oscillations of the sphere is also examined and is shown to give rise to the same basic wave structure.The related problem of a pulsating sphere is then considered, and it is concluded that certain features of the wave pattern, including the caustic singularities near the source, are common to a more general class of oscillating sources.

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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 (March 7, 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 bundle of helices of non-circular cross-section that gradually straighten out until, far from the focal plane, they become the dislocations of the Pearcey diffraction pattern for the cusp catastrophe. A new phenomenon is the multiple puncturing of the caustic surface by a series of helical dislocations.

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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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Dissertations / Theses on the topic "Circular caustic"

1

Lawry, James Milson Hassall. "Complex ray theory." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389022.

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Books on the topic "Circular caustic"

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Baloh, Robert W. Bárány’s Formative Years and the Conflict in Politzer’s Clinic. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780190600129.003.0009.

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When Robert Bárány published his book on the physiology and pathology of the vestibular system in 1907, he did not mention his collaboration with Gustav Alexander or any of Alexander’s work. After writing the book in a few weeks apparently because of concerns that others might publish findings first, Bárány had Adam Politzer write the introduction but he did not show it to Alexander until after he had sent it to the publisher. Alexander reacted angrily, claiming that Bárány left out many important references in his book and had failed to give credit to Alexander for his contributions to the overall work. Gossip began to circulate within the Otology Clinic and the University Hospital suggesting that Bárány’s ideas were not original and that he had plagiarized others in his writings. Bárány’s aloof personality and his propensity for generating enemies with his caustic comments no doubt contributed to his problems.

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Book chapters on the topic "Circular caustic"

1

Gao, Guiyun, Jie Zhou, and Zheng Li. "Dynamic Fracture Analysis of Semi-circular Bending (SCB) Specimen by the Optical Method of Caustics." In Dynamic Behavior of Materials, Volume 1, 159–68. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00771-7_20.

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Conference papers on the topic "Circular caustic"

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Chen, Rui-Pin, Li-Xing Zhong, and Huiwen Zhu. "The linear-circular polarization transfer in a caustic vector optical field." In 2016 Progress in Electromagnetic Research Symposium (PIERS). IEEE, 2016. http://dx.doi.org/10.1109/piers.2016.7734704.

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Mathis, A., F. Courvoisier, L. Froehly, R. Giust, L. Furfaro, M. Jacquot, and J. M. Dudley. "Nonparaxial circular and weber beams from caustics." In 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC. IEEE, 2013. http://dx.doi.org/10.1109/cleoe-iqec.2013.6801530.

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