Theory and application of radiation boundary operators

A succinct unified review is provided of the theory of radiation boundary operators. With the recent introduction of the on-surface radiation condition (OSRC) method and the continued growth of finite-difference and finite-element techniques for modeling electromagnetic wave scattering problems, the understanding and use of radiation boundary operators has become increasingly important. Results are presented to illustrate the application of radiation boundary operators in both these areas. Recent OSRC results include analysis of the scattering behavior of both electrically small and large cylinders, a reactively loaded acoustic sphere, and a simple reentrant duct. Radiation boundary operator results include the demonstration of the effectiveness of higher-order operators in truncating finite-difference time-domain grids. >

[1]  Allen Taflove,et al.  A study of wave interactions with flanged waveguides and cavities using the on-surface radiation condition method , 1989 .

[2]  A. Taflove,et al.  An application of the WKBJ technique to the on-surface radiation condition , 1988 .

[3]  G. Kriegsmann,et al.  A comparative study of absorbing boundary conditions , 1988 .

[4]  G. Kriegsmann,et al.  An application of the on-surface radiation condition to the scattering of acoustic waves by a reactively loaded sphere , 1988 .

[5]  D. S. Jones,et al.  An approximate boundary condition in acoustics , 1988 .

[6]  D. S. Jones.  Surface radiation conditions , 1988 .

[7]  Andreas C. Cangellaris,et al.  Point-matched time domain finite element methods for electromagnetic radiation and scattering , 1987 .

[8]  Robert L. Higdon,et al.  Numerical absorbing boundary conditions for the wave equation , 1987 .

[9]  A. Taflove,et al.  A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach , 1987 .

[10]  Allen Taflove,et al.  The Finite-Difference Time-Domain (FD-TD) Method for Electromagnetic Scattering and Interaction Problems , 1987 .

[11]  R. Higdon.  Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation , 1986 .

[12]  L. Trefethen,et al.  Well-Posedness of one-way wave equations and absorbing boundary conditions , 1986 .

[13]  E. Reiss,et al.  Acoustic pulse scattering by baffled membranes , 1986 .

[14]  L. Trefethen.  Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundström , 1983 .

[15]  Allen Taflove,et al.  A Novel Method to Analyze Electromagnetic Scattering of Complex Objects , 1982, IEEE Transactions on Electromagnetic Compatibility.

[16]  M. Gunzburger,et al.  Boundary conditions for the numerical solution of elliptic equations in exterior regions , 1982 .

[17]  G. Mur.  Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[18]  L. Trefethen.  Group velocity in finite difference schemes , 1981 .

[19]  A. Bayliss,et al.  Radiation boundary conditions for wave-like equations , 1980 .

[20]  G. Kriegsmann,et al.  Numerical solutions of exterior problems with the reduced wave equation , 1978 .

[21]  A. Majda,et al.  Absorbing boundary conditions for the numerical simulation of waves , 1977 .

[22]  F. G. Friedlander,et al.  On the radiation field of pulse solutions of the wave equation , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[23]  C. Wilcox.  An expansion theorem for electromagnetic fields , 1956 .