THE DETERMINATION OF THE SURFACE IMPEDANCE OF AN OBSTACLE FROM MEASUREMENTS OF THE FAR FIELD PATTERN

被引:21
作者
COLTON, D [1 ]
KIRSCH, A [1 ]
机构
[1] UNIV GOTTINGEN,LEHRSTUHLE NUMER & ANGEW MATH,D-3400 GOTTINGEN,FED REP GER
关键词
SURFACE IMPEDANCE;
D O I
10.1137/0141002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem of determining the surface impedance of an obstacle from measurements of the far field pattern of a scattered time harmonic acoustic wave is considered. It is shown that this problem can be stabilized by assuming that the impedance is Holder continuous with an a priori bound given on the impedance and its Holder coefficient. A constructive method for determining the impedance is given through the use of the Backus-Gilbert method for solving improperly posed moment problems.
引用
收藏
页码:8 / 15
页数:8
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