Fokas integral equations for three dimensional layered-media scattering

نویسندگان

  • David M. Ambrose
  • David P. Nicholls
چکیده

Article history: Received 25 October 2013 Received in revised form 19 May 2014 Accepted 14 July 2014 Available online 22 July 2014

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

A High–order Perturbation of Surfaces (hops) Approach to Fokas Integral Equations: Three Dimensional Layered–media Scattering

In this paper we discuss a novel High–Order Perturbation of Surfaces (HOPS) method for the simulation of linear acoustic waves in a three dimensional layered, periodic structure. The model we consider is that of linear time–harmonic wave propagation which generates three dimensional, quasiperiodic, outgoing solutions of Helmholtz equations, coupled across irregular layer interfaces. We signific...

متن کامل

Efficient vertical mode expansion method for scattering by arbitrary layered cylindrical structures.

A relatively simple and efficient numerical method is developed for analyzing the scattering of light by a layered cylindrical structure of arbitrary cross section surrounded by a layered background. The method significantly extends an existing vertical mode expansion method (VMEM) for circular or elliptic cylindrical structures. The original VMEM and its extension give rise to effective two-di...

متن کامل

A General Boundary-Integral Formulation for Zoned Three-Dimensional Media

A new boundary-integral formulation is proposed to analyze the heat transfer in zoned three-dimensional geometries. The proposed formulation couples the boundary formula, the gradient of the boundary formula, and the exterior formula. An advantage of this formulation over the traditional methods is that any linear condition at the interface between subdomains may be incorporated into the formul...

متن کامل

Axisymmetric Scaled Boundary Finite Element Formulation for Wave Propagation in Unbounded Layered Media

Wave propagation in unbounded layered media with a new formulation of Axisymmetric Scaled Boundary Finite Element Method (AXI-SBFEM) is derived. Dividing the general three-dimensional unbounded domain into a number of independent two-dimensional ones, the problem could be solved by a significant reduction in required storage and computational time. The equations of the corresponding Axisymmetri...

متن کامل

Three–Dimensional Acoustic Scattering by Layered Media: A Novel Surface Formulation with Operator Expansions Implementation

The scattering of acoustic waves by irregular structures plays an important role in a wide range of problems of scientific and technological interest. This contribution focuses upon the rapid and highly accurate numerical approximation of solutions of Helmholtz equations coupled across irregular periodic interfaces meant to model acoustic waves incident upon a multi–layered medium. We describe ...

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:
  • J. Comput. Physics

دوره 276  شماره 

صفحات  -

تاریخ انتشار 2014