Scattering in Flatland: Efficient Representations via Wave Atoms

نویسندگان

  • Laurent Demanet
  • Lexing Ying
چکیده

This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis of wave atoms, and compress by thresholding the small coefficients to zero. −1 −0.5 0 0.5 1 −1 −0.8 −0.6 −0.4 −0.2 0 0.2 0.4 0.6 0.8 1 200 400 600 80

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

روش جفت‌شدگی نزدیک دومرکزی در فرآیند انتقال بار

In the present work, the transition matrix elements as well as differential and total scattering cross-sections for positronium formation in Positron-Hydrogen atom collision and hydrogen formation in Positronium-Hydrogen ion collision, through the charge transfer channel by Two-Centre Close-Coupling method up to a first order approximation have been calculated. The charge transfer collision is ...

متن کامل

Flatland optics. II. Basic experiments.

In "Flatland optics: fundamentals" [J. Opt. Soc. Am. A 17, 1755 (2000)] we described the basic principles of two-dimensional (2D) optics and showed that a wavelength lambda in three-dimensional (3D) space (x,y,z) may appear in Flatland (x,z) as a wave with another wavelength, lambda = lambda/cosalpha. The tilt angle alpha can be modified by a 3D (Spaceland) individual who then is able to influe...

متن کامل

Entanglement interferometry for precision measurement of atomic scattering properties.

We report on a matter wave interferometer realized with entangled pairs of trapped 87Rb atoms. Each pair of atoms is confined at a single site of an optical lattice potential. The interferometer is realized by first creating a coherent spin superposition of the two atoms and then tuning the interstate scattering length via a Feshbach resonance. The selective change of the interstate scattering ...

متن کامل

بررسی فرایند انتقال بار در برخورد یون با اتم‌های چند الکترونی با استفاده از تقریب آیکونال در فرمول‌بندی برینکمن- کرامرز

In the present work, the scattering differential cross section has been investigated for ion-multi electron atoms collision in the charge transfer channel. For this purpose, an active electron model was implemented and the collision process was considered as a three-body impact in the high energy range. A semi-classical formalism was used with the eikonal distorted wave function to describe the...

متن کامل

Isotropic Scattering in a Flatland Half-Space

We solve the Milne, constant-source and albedo problems for isotropic scattering in a two-dimensional “Flatland” half-space via the Wiener-Hopf method. The Flatland H-function is derived and benchmark values and some identities unique to Flatland are presented. A number of the derivations are supported by Monte Carlo simulation. 1. Intro The study of linear transport theory [1, 2] in lower-dime...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Foundations of Computational Mathematics

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2010