Application of the Schwartz method to the calculation of waveguide PAA in the presence of die-lectric inserts and coatings

Authors

  • M.A. Gnatyuk
  • V.M. Morozov

DOI:

https://doi.org/10.30837/rt.2017.3.190.10

Abstract

The application of the Schwarz method for solving the problem of diffraction of an electromagnetic wave on a linear phased array antenna scanning in the H-plane is considered. The diffraction problem is reduced to the solution of the Fredholm integral equation of the second kind by the method of successive approximations. Expressions are obtained for the reflection coefficient of the incident wave in the i-order approximation.

References

Амитей, Н. Теория и анализ фазированных антенных решеток / Н. Амитей, В. Галиндо, Ч. Ву. – М. : Мир, 1974. – 455 с.

Прохода, И. Г. Применение метода частичных пересекающихся областей для расчета волноводных ФАР с апертурными неоднородностями / И. Г. Прохода, В. М. Морозов // Электродинамика и физика СВЧ. – 1980. – С. 34–42.

Гальченко, Н. А. Применение метода Шварца к расчету параметров П- и Г-волноводов / Н. А. Гальченко, В. С. Михалевский // Радиотехника и электроника. – 1970. –Т. 15, №1. – С. 51.

Гнатюк, М. А. Алгоритм метода Шварца решения трехмерной задачи дифракции / М. А. Гнатюк, В. М. Морозов, А. М. Съянов // Радиотехника. – 2013. – Вып. 174. – С. 10 − 15.

Morozov, V. M. Phased antenna array analysis with Schwarz alternating method / V. M. Morozov, M. A. Gnatyuk // Вісник дніпропетров. ун-ту. Сер. «Фізика. Радіоелектроніка». – 2015. – Т. 23. – Вып. 22. – С. 132 − 141.

Канторович, Л. В. Приближенные методы высшего анализа / Л. В. Канторович, В. И. Крылов – М. ; Л., 1962. – 708 с.

Марков, Г. Т. Математические методы прикладной электродинамики / Г. Т. Марков, Е. Н. Васильев. – М. : Сов. радио, 1970. – 120 с.

Downloads

Published

2017-10-16

How to Cite

Gnatyuk, M., & Morozov, V. (2017). Application of the Schwartz method to the calculation of waveguide PAA in the presence of die-lectric inserts and coatings. Radiotekhnika, 3(190), 70–76. https://doi.org/10.30837/rt.2017.3.190.10

Issue

No. 190 (2017): Radiotekhnika

Section

Articles

License

Authors who publish with this journal agree to the following terms:

1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).