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The wave equation: From eikonal to anti-eikonal approximation
Modern Electronic Materials, 2016 When the refractive index changes very slowly compared to the wave-length we may use the eikonal approximation to the wave equation. In the opposite case, when the refractive index highly variates over the distance of one wave-length, we have what can be
Luis Vazquez, Salvador Jimenez
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Physical Review D, 1996 A functional formulation and partial solution is given of the non-abelian eikonal problem associated with the exchange of non-interacting, charged or colored bosons between a pair of fermions, in the large $s$/small $t$ limit.
C. Catani +10 more
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On the noncommutative eikonal [PDF]
International Journal of Geometric Methods in Modern Physics, 2010 We study the eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions depending on noncommuting, operator-valued coordinates.Comment: 18 ...
J. L. G. SANTANDER +5 more
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Computational solutions for Eikonal equation by differential quadrature method
AEJ - Alexandria Engineering Journal, 2022 This article presents an efficient method to solve of Eikonal equation by the new differential quadrature method. The purpose of this article is to obtain the accuracy and performance method for the Eikonal equation.
Davood Rostamy
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Компьютерная оптика, 2022 We develop a method for calculating the eikonal function (or the phase function) of the light field, ensuring the formation of a prescribed irradiance distribution in the geometrical optics approximation.
L.L. Doskolovich +4 more
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Methodological derivation of the eikonal equation
Discrete and Continuous Models and Applied Computational Science, 2023 Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov +4 more
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Microseismic Location Error Due to Eikonal Traveltime Calculation
Applied Sciences, 2021 The accuracy of computed traveltimes in a velocity model plays a crucial role in localization of microseismic events. The conventional approach usually utilizes robust fast sweeping or fast marching methods to solve the eikonal equation numerically with ...
Dmitry Alexandrov +2 more
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Design of an axisymmetric optical element generating a prescribed illuminance distribution and wavefront [PDF]
Компьютерная оптика, 2018 Design of an axisymmetric refracting optical element to transform an incident beam into an output beam with the prescribed illuminance distribution and prescribed wavefront is considered.
Leonid Doskolovich +2 more
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Eikonal amplitudes from curved backgrounds
SciPost Physics, 2022 Eikonal exponentiation in QFT describes the emergence of classical physics at long distances in terms of a non-trivial resummation of infinitely many diagrams.
Tim Adamo, Andrea Cristofoli, Piotr Tourkine
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A novel test of gravity via black hole eikonal correspondence
Physics Letters B, 2023 When adopted in black hole spacetimes, geometric-optics approximations imply a mapping between the quasinormal mode (QNM) spectrum of black holes in the eikonal limit and black hole images.
Che-Yu Chen +3 more
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