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

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...

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Main Authors: Boris V. Semenov, Nikolai I. Chernykh, Viktor M. Pleshchev
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2017-12-01
Series:Ural Mathematical Journal
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Online Access:https://umjuran.ru/index.php/umj/article/view/104
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author Boris V. Semenov
Nikolai I. Chernykh
Viktor M. Pleshchev
author_facet Boris V. Semenov
Nikolai I. Chernykh
Viktor M. Pleshchev
author_sort Boris V. Semenov
collection DOAJ
description 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.
format Article
id doaj-art-ed5a5bb8d8ee4f6fae048ca8b88ba815
institution DOAJ
issn 2414-3952
language English
publishDate 2017-12-01
publisher Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
record_format Article
series Ural Mathematical Journal
spelling doaj-art-ed5a5bb8d8ee4f6fae048ca8b88ba8152025-08-20T03:22:42ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522017-12-013210.15826/umj.2017.2.01550NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAMBoris V. Semenov0Nikolai I. Chernykh1Viktor M. Pleshchev2Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences; Ural Federal University, EkaterinburgKrasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences; Ural Federal University, EkaterinburgKrasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, EkaterinburgIn 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.https://umjuran.ru/index.php/umj/article/view/104Antenna, Shaped reflector, Radiation pattern, Contour beam, Synthesis
spellingShingle Boris V. Semenov
Nikolai I. Chernykh
Viktor M. Pleshchev
NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM
Ural Mathematical Journal
Antenna, Shaped reflector, Radiation pattern, Contour beam, Synthesis
title NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM
title_full NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM
title_fullStr NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM
title_full_unstemmed NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM
title_short NEW METHOD OF REFLECTOR SURFACE SHAPING TO PRODUCE A PRESCRIBED CONTOUR BEAM
title_sort new method of reflector surface shaping to produce a prescribed contour beam
topic Antenna, Shaped reflector, Radiation pattern, Contour beam, Synthesis
url https://umjuran.ru/index.php/umj/article/view/104
work_keys_str_mv AT borisvsemenov newmethodofreflectorsurfaceshapingtoproduceaprescribedcontourbeam
AT nikolaiichernykh newmethodofreflectorsurfaceshapingtoproduceaprescribedcontourbeam
AT viktormpleshchev newmethodofreflectorsurfaceshapingtoproduceaprescribedcontourbeam