The three-dimensional inverse scattering problem for the Helmholtz equation
1973 ◽
Vol 73
(3)
◽
pp. 477-488
◽
Keyword(s):
In this paper we are concerned with solutions of the three-dimensional Helmholtz equation which are of class C2 (i.e. regular) in the exterior of a bounded domain D. In cylindrical polar coordinates (r, z, φ) such solutions satisfy the equationin which we have dimensionalized the radial coordinate r so that the wave number is normalized to unity. If we further assume that u satisfies the Sommerfeld radiation conditionthen u may be regarded as being generated by volume sources, surface sources, or point singularities, all of which are contained in D.
1977 ◽
Vol 18
(2)
◽
pp. 125-130
◽
1991 ◽
Vol 22
(3)
◽
pp. 717-731
◽
Keyword(s):
2020 ◽
Vol 13
(2)
◽
pp. 871-904
◽
Keyword(s):
1989 ◽
Vol 32
(1)
◽
pp. 107-119
◽
Keyword(s):