NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM

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Abstract

In this paper a simple iterative synthesis method is presented for the formation of the shape of the reflector surface with a single feed element to produce the desired contour beam. This is the method of the optimal phase synthesis of the appropriate field in the reflector aperture similar to other works. But unlike them, we solve the problem in a very simple way using the properties of complex-valued functions and Fourier transforms and not applying complicated methods of numerical minimization theory.
Original languageEnglish
Pages (from-to)143-151
JournalURAL MATHEMATICAL JOURNAL
Volume3
Issue number2 (5)
DOIs
Publication statusPublished - 2017

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Comet Nucleus Tour
reflectors
synthesis
apertures
optimization

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title = "NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM",
abstract = "In this paper a simple iterative synthesis method is presented for the formation of the shape of the reflector surface with a single feed element to produce the desired contour beam. This is the method of the optimal phase synthesis of the appropriate field in the reflector aperture similar to other works. But unlike them, we solve the problem in a very simple way using the properties of complex-valued functions and Fourier transforms and not applying complicated methods of numerical minimization theory.",
author = "Semenov, {Boris V.} and Chernykh, {Nikolai I.} and Pleshchev, {Viktor M.}",
year = "2017",
doi = "10.15826/umj.2017.2.015",
language = "English",
volume = "3",
pages = "143--151",
journal = "URAL MATHEMATICAL JOURNAL",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
number = "2 (5)",

}

NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM. / Semenov, Boris V.; Chernykh, Nikolai I.; Pleshchev, Viktor M.

In: URAL MATHEMATICAL JOURNAL, Vol. 3, No. 2 (5), 2017, p. 143-151.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM

AU - Semenov, Boris V.

AU - Chernykh, Nikolai I.

AU - Pleshchev, Viktor M.

PY - 2017

Y1 - 2017

N2 - In this paper a simple iterative synthesis method is presented for the formation of the shape of the reflector surface with a single feed element to produce the desired contour beam. This is the method of the optimal phase synthesis of the appropriate field in the reflector aperture similar to other works. But unlike them, we solve the problem in a very simple way using the properties of complex-valued functions and Fourier transforms and not applying complicated methods of numerical minimization theory.

AB - In this paper a simple iterative synthesis method is presented for the formation of the shape of the reflector surface with a single feed element to produce the desired contour beam. This is the method of the optimal phase synthesis of the appropriate field in the reflector aperture similar to other works. But unlike them, we solve the problem in a very simple way using the properties of complex-valued functions and Fourier transforms and not applying complicated methods of numerical minimization theory.

UR - https://elibrary.ru/item.asp?id=32334106

U2 - 10.15826/umj.2017.2.015

DO - 10.15826/umj.2017.2.015

M3 - Article

VL - 3

SP - 143

EP - 151

JO - URAL MATHEMATICAL JOURNAL

JF - URAL MATHEMATICAL JOURNAL

SN - 2414-3952

IS - 2 (5)

ER -