 
Summary: KonradZuseZentrum
fu¨r Informationstechnik Berlin
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THORSTEN HOHAGE,FRANK SCHMIDT,
LIN ZSCHIEDRICH
Solving timeharmonic
scattering problems
based on the pole condition: Theory
ZIBReport 0101 (May 2001)
Solving timeharmonic scattering problems
based on the pole condition: Theory
Thorsten Hohage, Frank Schmidt, Lin Zschiedrich
Summary The pole condition is a general concept for the theoret
ical analysis and the numerical solution of a variety of wave propa
gation problems. It says that the Laplace transform of the physical
solution in radial direction has no poles in the lower complex half
plane. In the present paper we show that for the Helmholtz equation
with a radially symmetric potential the pole condition is equivalent
