Properties of Surface Currents and Solvability of Inverse Electrodynamics Problems (Current Synthesis)

Boris Z. KATSENELENBAUM; Michael Yu. SHALUKHIN

Properties of Surface Currents and Solvability of Inverse Electrodynamics Problems (Current Synthesis)

Boris Z. KATSENELENBAUM, Michael Yu. SHALUKHIN

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Generally speaking, a field generated by a current located on any surface depends on the shape of the surface and the current value and its distribution. The main idea discussed below is based on the existence of such surfaces for which a certain property of fields generated by currents distributed on these surfaces does not depend on the currents and is fully and soley determined by the surfaces. This is such a property that any complete system of functions generates an incomplete system of fields. This means that it is impossible not only to realize but even to approximate any given field by the generated field if the given field does not satisfy this condition. In this case, the corresponding inverse problem of the approximate current synthesis is not solvable. Practical results have been received for the horn construction, the determination of the scattering body shape and so on.

Publication: IEICE TRANSACTIONS on Electronics Vol.E74-C No.9 pp.2910-2914

Publication Date: 1991/09/25

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Type of Manuscript: Special Section PAPER (Special Issue on OFSET '90)

Category: Inverse Problem

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Boris Z. KATSENELENBAUM
Michael Yu. SHALUKHIN

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Boris Z. KATSENELENBAUM, Michael Yu. SHALUKHIN, "Properties of Surface Currents and Solvability of Inverse Electrodynamics Problems (Current Synthesis)" in IEICE TRANSACTIONS on Electronics, vol. E74-C, no. 9, pp. 2910-2914, September 1991, doi: .
Abstract: Generally speaking, a field generated by a current located on any surface depends on the shape of the surface and the current value and its distribution. The main idea discussed below is based on the existence of such surfaces for which a certain property of fields generated by currents distributed on these surfaces does not depend on the currents and is fully and soley determined by the surfaces. This is such a property that any complete system of functions generates an incomplete system of fields. This means that it is impossible not only to realize but even to approximate any given field by the generated field if the given field does not satisfy this condition. In this case, the corresponding inverse problem of the approximate current synthesis is not solvable. Practical results have been received for the horn construction, the determination of the scattering body shape and so on.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e74-c_9_2910/_p

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@ARTICLE{e74-c_9_2910,
author={Boris Z. KATSENELENBAUM, Michael Yu. SHALUKHIN, },
journal={IEICE TRANSACTIONS on Electronics},
title={Properties of Surface Currents and Solvability of Inverse Electrodynamics Problems (Current Synthesis)},
year={1991},
volume={E74-C},
number={9},
pages={2910-2914},
abstract={Generally speaking, a field generated by a current located on any surface depends on the shape of the surface and the current value and its distribution. The main idea discussed below is based on the existence of such surfaces for which a certain property of fields generated by currents distributed on these surfaces does not depend on the currents and is fully and soley determined by the surfaces. This is such a property that any complete system of functions generates an incomplete system of fields. This means that it is impossible not only to realize but even to approximate any given field by the generated field if the given field does not satisfy this condition. In this case, the corresponding inverse problem of the approximate current synthesis is not solvable. Practical results have been received for the horn construction, the determination of the scattering body shape and so on.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Properties of Surface Currents and Solvability of Inverse Electrodynamics Problems (Current Synthesis)
T2 - IEICE TRANSACTIONS on Electronics
SP - 2910
EP - 2914
AU - Boris Z. KATSENELENBAUM
AU - Michael Yu. SHALUKHIN
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E74-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 1991
AB - Generally speaking, a field generated by a current located on any surface depends on the shape of the surface and the current value and its distribution. The main idea discussed below is based on the existence of such surfaces for which a certain property of fields generated by currents distributed on these surfaces does not depend on the currents and is fully and soley determined by the surfaces. This is such a property that any complete system of functions generates an incomplete system of fields. This means that it is impossible not only to realize but even to approximate any given field by the generated field if the given field does not satisfy this condition. In this case, the corresponding inverse problem of the approximate current synthesis is not solvable. Practical results have been received for the horn construction, the determination of the scattering body shape and so on.
ER -