Inverse source problem with regularity constraints: Normal solution and nonradiating source components

Edwin A. Marengo; Richard W. Ziolkowski

doi:10.1088/1464-4258/2/3/303

Inverse source problem with regularity constraints: Normal solution and nonradiating source components

Edwin A. Marengo
, Richard W. Ziolkowski

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	179-187
Number of pages	9
Journal	Journal of Optics A: Pure and Applied Optics
Volume	2
Issue number	3
DOIs	https://doi.org/10.1088/1464-4258/2/3/303
State	Published - May 2000
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Access to Document

10.1088/1464-4258/2/3/303

Cite this

@article{8670114719d047608ff1caa4210555d2,

title = "Inverse source problem with regularity constraints: Normal solution and nonradiating source components",

abstract = "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.",

author = "Marengo, \{Edwin A.\} and Ziolkowski, \{Richard W.\}",

year = "2000",

month = may,

doi = "10.1088/1464-4258/2/3/303",

language = "English (US)",

volume = "2",

pages = "179--187",

journal = "Journal of Optics A: Pure and Applied Optics",

issn = "1464-4258",

publisher = "Institute of Physics Publishing",

number = "3",

}

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.

UR - https://www.scopus.com/pages/publications/0033730479

UR - https://www.scopus.com/pages/publications/0033730479#tab=citedBy

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 -

Inverse source problem with regularity constraints: Normal solution and nonradiating source components

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this