TY - JOUR
T1 - Inverse source problem with regularity constraints
T2 - Normal solution and nonradiating source components
AU - Marengo, Edwin A.
AU - Ziolkowski, Richard W.
PY - 2000/5
Y1 - 2000/5
N2 - The use of regularity constraints in formulating the scalar inverse source problem (ISP) is investigated. Two kinds of regularity constraints are considered: compact supportness in a given source region, and normal differentiability on the boundary of that region. Normal solutions (minimum L2 norm solutions) to the ISP for square-integrable (L2) scalar sources with and without the above-mentioned regularity constraints are derived and compared. The (generally nontrivial) nonradiating parts of the corresponding normal solutions are evaluated.
AB - The use of regularity constraints in formulating the scalar inverse source problem (ISP) is investigated. Two kinds of regularity constraints are considered: compact supportness in a given source region, and normal differentiability on the boundary of that region. Normal solutions (minimum L2 norm solutions) to the ISP for square-integrable (L2) scalar sources with and without the above-mentioned regularity constraints are derived and compared. The (generally nontrivial) nonradiating parts of the corresponding normal solutions are evaluated.
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U2 - 10.1088/1464-4258/2/3/303
DO - 10.1088/1464-4258/2/3/303
M3 - Article
AN - SCOPUS:0033730479
SN - 1464-4258
VL - 2
SP - 179
EP - 187
JO - Journal of Optics A: Pure and Applied Optics
JF - Journal of Optics A: Pure and Applied Optics
IS - 3
ER -