The wave equation: from eikonal to anti-eikonal approximation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Deviations from the eikonal approximation

J. A. Tostevin, D. Bazin, B. A. Brown, T. Glasmacher, P. G. Hansen, V. Maddalena, A. Navin,* and B. M. Sherrill Department of Physics, School of Physics and Chemistry, University of Surrey, Guildford, Surrey GU2 7XH, United Kingdom National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 Department of Physics and Astronomy, Michigan State University...

متن کامل

A fast eikonal equation solver using the Schrödinger wave equation

Abstract. We use a Schrödinger wave equation formalism to solve the eikonal equation. We show that a solution to the eikonal equation is obtained in the limit as ~ → 0 of the solution to the corresponding linear Schrödinger equation. The Schrödinger equation corresponding to the eikonal turns out to be a generalized, screened Poisson equation. Despite being linear, it does not have a closed-for...

متن کامل

Validity of the Eikonal Approximation*

We summarize results on the reliability of the eikonal approximation in obtaining the high energy behavior of a two particle forward scattering amplitude. Reliability depends on the spin of the exchanged field. For scalar fields the eikonal fails at eighth order in perturbation theory, when it misses the leading behavior of the exchange-type diagrams. In a vector theory the eikonal gets the exc...

متن کامل

A kinetic eikonal equation

We analyse the linear kinetic transport equation with a BGK relaxation operator. We study the large scale hyperbolic limit (t, x) → (t/ε, x/ε). We derive a new type of limiting Hamilton-Jacobi equation, which is analogous to the classical eikonal equation derived from the heat equation with small diffusivity. We prove well-posedness of the phase problem and convergence towards the viscosity sol...

متن کامل

A Schrödinger Wave Equation Approach to the Eikonal Equation: Application to Image Analysis

As Planck’s constant ~ (treated as a free parameter) tends to zero, the solution to the eikonal equation |∇S(X)| = f(X) can be increasingly closely approximated by the solution to the corresponding Schrödinger equation. When the forcing function f(X) is set to one, we get the Euclidean distance function problem. We show that the corresponding Schrödinger equation has a closed form solution whic...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Izvestiya Vysshikh Uchebnykh Zavedenii. Materialy Elektronnoi Tekhniki = Materials of Electronics Engineering

سال: 2016

ISSN: 2413-6387,1609-3577

DOI: 10.17073/1609-3577-2016-2-103-107