Relevant bibliographies by topics / Eikonal systems

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Eikonal systems'

Author: Grafiati
Published: 17 August 2022

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Journal articles on the topic "Eikonal systems"

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Bijker, R., and J. N. Ginocchio. "Eikonal scattering from complex systems." Physical Review C 45, no. 6 (June 1, 1992): 3030–33. http://dx.doi.org/10.1103/physrevc.45.3030.

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KIM, YONG JOO, JONG-KWAN WOO, and MOON HOE CHA. "ANALYTIC FIRST-ORDER EIKONAL MODEL FOR HEAVY-ION ELASTIC SCATTERINGS." International Journal of Modern Physics E 19, no. 10 (October 2010): 1947–60. http://dx.doi.org/10.1142/s0218301310016430.

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We present analytic expressions for the zero-order eikonal phase shift and its first-order correction by approximating a distance between two colliding nuclei. This formalism has been applied to elastic scatterings of the 12 C + 40 Ca and the 12 C + 90 Zr systems at E lab = 420 MeV , and the 16 O + 40 Ca and the 16 O + 90 Zr ones at E lab = 1503 MeV . The calculated angular distributions, taking into account up to the analytic first-order eikonal phase shift, are found to be in fairly good agreement with the observed data. The reaction cross-sections obtained from the present model produce very excellent agreements with ones of exact first-order eikonal model calculations. We have found that analytic eikonal phase shift including the first-order correction is one theoretical method to the analysis of heavy-ion elastic scattering.
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Wereszczyński, A. "Generalized eikonal knots and new integrable dynamical systems." Physics Letters B 621, no. 1-2 (August 2005): 201–7. http://dx.doi.org/10.1016/j.physletb.2005.06.050.

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Al-Khalili, J. S., J. A. Tostevin, and J. M. Brooke. "Beyond the eikonal model for few-body systems." Physical Review C 55, no. 3 (March 1, 1997): R1018—R1022. http://dx.doi.org/10.1103/physrevc.55.r1018.

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BAYE, DANIEL. "THREE AND FOUR-BODY BREAKUP REACTIONS." International Journal of Modern Physics E 17, no. 10 (November 2008): 2301–9. http://dx.doi.org/10.1142/s0218301308011513.

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Breakup reactions provide spectroscopic information on exotic nuclei. Coulomb breakup indirectly measures the astrophysical S factor for radiative-capture reactions. The validity of first-order perturbation theory is limited for extended systems such as halo nuclei. More elaborate reaction models are necessary: semi-classical time-dependent Schrödinger equation, eikonal and dynamical eikonal approximations, continuum-discretized coupled-channel method. Breakup experiments do not provide much information on the structure of a two-cluster halo nucleus but accurate exclusive experiments should be more interesting for three-cluster nuclei.
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Venetskiy, A. S., and V. A. Kaloshin. "On eikonal aberrations in axisymmetric double-reflector telescopic systems." Journal of Communications Technology and Electronics 61, no. 4 (April 2016): 385–94. http://dx.doi.org/10.1134/s1064226916040136.

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KOPIETZ, PETER. "BOSONIZATION AND THE EIKONAL EXPANSION: SIMILARITIES AND DIFFERENCES." International Journal of Modern Physics B 10, no. 17 (July 30, 1996): 2111–24. http://dx.doi.org/10.1142/s0217979296000969.

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We compare two non-perturbative techniques for calculating the single-particle Green’s function of interacting Fermi systems with dominant forward scattering: our recently developed functional integral approach to bosonization in arbitrary dimensions, and the eikonal expansion. In both methods the Green’s function is first calculated for a fixed configuration of a background field, and then averaged with respect to a suitably defined effective action. We show that, after linearization of the energy dispersion at the Fermi surface, both methods yield for Fermi liquids exactly the same non-perturbative expression for the quasi-particle residue. However, in the case of non-Fermi liquid behavior the low-energy behavior of the Green’s function predicted by the eikonal method can be erroneous. In particular, for the Tomonaga-Luttinger model the eikonal method neither reproduces the correct scaling behavior of the spectral function, nor predicts the correct location of its singularities.
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MULHOLLAND, A. J., and J. GOMATAM. "PATTERN FORMATION IN EXCITABLE REACTION–DIFFUSION SYSTEMS: THE EIKONAL ANALYSIS ON THE TORUS." Journal of Biological Systems 03, no. 04 (December 1995): 1013–19. http://dx.doi.org/10.1142/s0218339095000903.

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The excitable reaction–diffusion (R–D) systems of biological and chemical origin harbour a wealth of patterns and structures, not all of which have been modelled by the full R-D equations. The analytical and numerical facility offered by the eikonal approach to the R-D equation is exploited here in the demonstration of existence and stability of a class of solutions on a torus.
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Waheed, Umair bin, Ehsan Haghighat, Tariq Alkhalifah, Chao Song, and Qi Hao. "PINNeik: Eikonal solution using physics-informed neural networks." Computers & Geosciences 155 (October 2021): 104833. http://dx.doi.org/10.1016/j.cageo.2021.104833.

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Soravia, Pierpaolo. "Degenerate Eikonal equations with discontinuous refraction index." ESAIM: Control, Optimisation and Calculus of Variations 12, no. 2 (March 22, 2006): 216–30. http://dx.doi.org/10.1051/cocv:2005033.

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Dissertations / Theses on the topic "Eikonal systems"

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Al, Zohbi Maryam. "Contributions to the existence, uniqueness, and contraction of the solutions to some evolutionary partial differential equations." Thesis, Compiègne, 2021. http://www.theses.fr/2021COMP2646.

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Dans cette thèse, nous nous sommes principalement intéressés à l’étude théorique et numérique de quelques équations qui décrivent la dynamique des densités des dislocations. Les dislocations sont des défauts microscopiques qui se déplacent dans les matériaux sous l’effet des contraintes extérieures. Dans un premier travail, nous démontrons un résultat d’existence globale en temps des solutions discontinues pour un système hyperbolique diagonal qui n’est pas nécessairement strictement hyperbolique, dans un espace unidimensionnel. Ainsi dans un deuxième travail, nous élargissons notre portée en démontrant un résultat similaire pour un système d’équations de type eikonal non-linéaire qui est en fait une généralisation du système hyperbolique déjà étudié. En effet, nous prouvons aussi l’existence et l’unicité d’une solution continue pour le système eikonal. Ensuite, nous nous sommes intéressés à l’analyse numérique de ce système en proposant un schéma aux différences finies, par lequel nous montrons la convergence vers le problème continu et nous consolidons nos résultats avec quelques simulations numériques. Dans une autre direction, nous nous sommes intéressés à la théorie de contraction différentielle pour les équations d’évolutions. Après avoir introduit une nouvelle distance, nous construisons une nouvelle famille des solutions contractantes positives pour l’équation d’évolution p-Laplace
In this thesis, we are mainly interested in the theoretical and numerical study of certain equations that describe the dynamics of dislocation densities. Dislocations are microscopic defects in materials, which move under the effect of an external stress. As a first work, we prove a global in time existence result of a discontinuous solution to a diagonal hyperbolic system, which is not necessarily strictly hyperbolic, in one space dimension. Then in another work, we broaden our scope by proving a similar result to a non-linear eikonal system, which is in fact a generalization of the hyperbolic system studied first. We also prove the existence and uniqueness of a continuous solution to the eikonal system. After that, we study this system numerically in a third work through proposing a finite difference scheme approximating it, of which we prove the convergence to the continuous problem, strengthening our outcomes with some numerical simulations. On a different direction, we were enthused by the theory of differential contraction to evolutionary equations. By introducing a new distance, we create a new family of contracting positive solutions to the evolutionary p-Laplacian equation
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Oussaily, Aya. "Étude théorique et numérique des systèmes modélisant la dynamique des densités des dislocations." Thesis, Compiègne, 2021. https://bibliotheque.utc.fr/Default/doc/SYRACUSE/2021COMP2634.

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Dans cette thèse, nous nous intéressons à l’analyse théorique et numérique de la dynamique des densités des dislocations. Les dislocations sont des défauts linéaires qui se déplacent dans les cristaux lorsque ceux-ci sont soumis à des contraintes extérieures. D’une manière générale, la dynamique des densités des dislocations est décrite par un système d’équations de transport, où les champs de vitesse dépendent de manière non-locale des densités des dislocations. Au départ, notre travail se focalise sur l’étude d’un système unidimensionnel (2 × 2) de type Hamilton-Jacobi dérivé d’un système bidimensionnel proposé par Groma et Balogh en 1999. Pour ce modèle, nous montrons un résultat d’existence globale et d’unicité. En addition, nous nous intéressons à l’étude numérique de ce problème, complété par des conditions initiales croissantes, en proposant un schéma aux différences finies implicite dont on prouve la convergence. Ensuite, en s’inspirant du travail effectué pour la résolution de la dynamique des densités des dislocations, nous mettons en œuvre une théorie plus générale permettant d’obtenir un résultat similaire d’existence et d’unicité d’une solution dans le cas des systèmes de type eikonal unidimensionnels. En considérant des conditions initiales croissantes, nous faisons une étude numérique pour ce système. Sous certaines conditions de monotonies sur la vitesse, nous proposons un schéma aux différences finies implicite permettant de calculer la solution discrète et simuler ainsi la dynamique des dislocations à travers ce modèle
In this thesis, we are interested in the theoretical and numerical studies of dislocations densities. Dislocations are linear defects that move in crystals when those are subjected to exterior stress. More generally, the dynamics of dislocations densities are described by a system of transport equations where the velocity field depends non locally on the dislocations densities. First, we are interested in the study of a one dimensional submodel of a (2 × 2) Hamilton-Jacobi system introduced by Groma and Balogh in 1999, proposed in the two dimensional case. For this system, we prove global existence and uniqueness results. Adding to that, considering nondecreasing initial data, we study this problem numerically by proposing a finite difference implicit scheme for which we show the convergence. Then, inspired by the first work, we show a more general theory which allows us to get similar results of existence and uniqueness of solution in the case of one dimensional eikonal systems. By considering nondecreasing initial data, we study this problem numerically. Under certain conditions on the velocity, we propose a finite difference implicit scheme allowing us to calculate the discrete solution and simulate then the dislocations dynamics via this model
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Book chapters on the topic "Eikonal systems"

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Jung, Young-Dae, and Jung-Sik Yoon. "Eikonal Cross Section for Elastic Electron-Ion Scattering in Strongly Coupled Plasma." In Strongly Coupled Coulomb Systems, 633–38. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/0-306-47086-1_118.

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Gomatam, J., and P. Grindrod. "Three-Dimensional Waves in Excitable Reaction-Diffusion Systems: the Eikonal Approximation." In Nonlinear Wave Processes in Excitable Media, 201–11. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3683-7_20.

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Camara, Oscar, Ali Pashaei, Rafael Sebastian, and Alejandro F. Frangi. "Personalization of Fast Conduction Purkinje System in Eikonal-Based Electrophysiological Models with Optical Mapping Data." In Statistical Atlases and Computational Models of the Heart, 281–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15835-3_29.

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Dacorogna, Bernard, Roland Glowinski, Yuri Kuznetsov, and Tsorng-Whay Pan. "On a Conjugate Gradient/Newton/Penalty Method for the Solution of Obstacle Problems. Application to the Solution of an Eikonal System with Dirichlet Boundary Conditions." In Scientific Computation, 263–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18560-1_17.

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Sage, Sandrine, Gilles Grandjean, and Jacques Verly. "Java Tomography System (JaTS), a Seismic Tomography Software Using Fresnel Volumes, a Fast Marching Eikonal Solver and a Probabilistic Reconstruction Method: Conclusive Synthetic Test Cases." In Engineering Geology for Infrastructure Planning in Europe, 226–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39918-6_27.

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Zinn-Justin, Jean. "Quantum evolution: From particles to non-relativistic fields." In Quantum Field Theory and Critical Phenomena, 90–104. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0005.

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Chapter 4 has introduced the functional integral representation of the quantum statistical operators and thus, formally, evolution in imaginary or Euclidean time. By contrast, to calculate the evolution operator and the scattering S-matrix elements, quantities relevant to particle physics, it is necessary to make a continuation from imaginary to real time. However, the representation of the S-matrix follows from additional considerations. To illustrate the power of the formalism, we show how to recover the perturbative expansion of the scattering amplitude, some semi-classical approximations, and the eikonal approximation. When the asymptotic states at large time are eigenstates of the harmonic oscillator, instead of free particles, the holomorphic formalism becomes useful. A simple generalization of the path integral of Chapter 4 leads to the corresponding path integral representation of the S-matrix. In the case of the Bose gas, the evolution operator is then given by a holomorphic field integral. A parallel formalism leads to an analogous representation for the evolution operator of a system of non-relativistic fermions.
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Conference papers on the topic "Eikonal systems"

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Zysk, Adam M., John C. Schotland, and P. Scott Carney. "Eikonal Representation of Partially Coherent Fields in Geometrical Optical Systems." In Frontiers in Optics. Washington, D.C.: OSA, 2005. http://dx.doi.org/10.1364/fio.2005.fthk4.

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Rapoport, Diego L., and Daniel M. Dubois. "Torsion Fields, Propagating Singularities, Nilpotence, Quantum Jumps and the Eikonal Equations." In COMPUTING ANTICIPATORY SYSTEMS: CASYS ‘09: Ninth International Conference on Computing Anticipatory Systems. AIP, 2010. http://dx.doi.org/10.1063/1.3527144.

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Krautter, Martin. "The Eikonal function: the common concept in ray optics and particle mechanics." In Lens and Optical Systems Design. SPIE, 1993. http://dx.doi.org/10.1117/12.142826.

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Hoffnagle, John A., and David L. Shealy. "Extending Stavroudis’s solution of the eikonal equation to multi-element optical systems." In Frontiers in Optics. Washington, D.C.: OSA, 2009. http://dx.doi.org/10.1364/fio.2009.fthh2.

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de Meijere, J. L. F., J. A. Schuurman, and C. H. F. Velzel. "The Use Of The Pseudo-Eikonal In The Optimization Of Optical Systems." In 1988 International Congress on Optical Science and Engineering, edited by Andre Masson, Joachim J. Schulte-in-den-Baeumen, and Hannfried Zuegge. SPIE, 1989. http://dx.doi.org/10.1117/12.949355.

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Bhatt, Santosh, Lawrence Townsend, Sirikul Sriprisan, and Mahmoud PourArsalan. "Analytical Derivation of Abrasion-Ablation Model With Corrections to the First Order Eikonal Expansions." In 41st International Conference on Environmental Systems. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-5251.

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