Perfectly Matched Absorbing Layers for the Paraxial Equations

نویسنده

  • F. Collino
چکیده

A new absorbing boundary technique for the paraxial wave equations is proposed and analyzed. Numerical results show the eeciency of the method. Couches absorbantes parfaitement adapt ees pour les equations paraxiales R esum e : Une nouvelle technique de conditions absorbantes pour les equations paraxiales est pr esent ee et analys ee. L'id ee est d'interpr eter puis de g en e-raliser le mod ele de couches propos e par J.P. B erenger pour l' electromagn etisme aux equations de type Schroedinger. Quelques r esultats num eriques montrent la potentialit e de la m ethode

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

On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations

We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for the stability problems associated with the spilt eld formulation and illustrates why applying a lter has a s...

متن کامل

The Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations

We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for the stability problems associated with the spilt field formulation and illustrates why applying a filter has...

متن کامل

Notes on Perfectly Matched Layers (PMLs)

This note is intended as a brief introduction to the theory and practice of per­ fectly matched layer (PML) absorbing boundaries for wave equations, intended for future use in the courses 18.369 and 18.336 at MIT. It focuses on the complex stretched-coordinate viewpoint, and also discusses the limitations of PML.

متن کامل

A general family of Perfectly Matched Layers for non necessarily convex domains

Since introduced by Berenger [1], the Perfectly Matched Layers method (PML) has become a popular approach for non reflecting Absorbing Boundary Conditions (ABC) in the numerical solution of the Maxwell equations on unbounded domains. However, most of the formulations only concern parallelepiped or simply convex domains. The goal of this paper is to present the theory for non necessarily convex ...

متن کامل

Absorbing layers for the Dirac equation

This work is devoted to the construction of perfectly matched layers (PML) for the Dirac equation, that not only arises in relativistic quantum mechanics but also in the dynamics of electrons in graphene or in topological insulators. While the resulting equations are stable at the continuous level, some care is necessary in order to obtain a stable scheme at the discrete level. This is related ...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996