A Stability Analysis of the Perfectly Matched Layer Method

Abstract

We perform a detailed stability analysis based on the unsplit-field uniaxial perfectly matched layer (PML) formulation. Our finding shows that it is essential to have transverse field gradients present at all times to stabilize PML calculations. In the absence of transverse field gradients, the PML method becomes unstable with the axial field components growing linearly in time.

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Document Details

Document Type
Technical Report
Publication Date
Nov 12, 1999
Accession Number
ADA374530

Entities

People

  • Andy Greenwood
  • David Dietz
  • Ernest Baca
  • S. J. Yakura

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Differential Equations
  • Directed Energy Weapons
  • Eigenvalues
  • Equations
  • Finite Difference Time Domain
  • Government Procurement
  • Governments
  • Magnetic Fields
  • Mathematical Analysis
  • Numerical Analysis
  • Stability Conditions
  • Time Domain
  • Transverse
  • Two Dimensional
  • Waves

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.