Resonance in Layered Bragg Structures with Nonlinear Elements
The Bragg structures with nonlinear lumped elements and layerswith Kerr nonlinearity are considered. The pseudoinverse method for calculation the field at boundaries of the structures has been proposed. This method is the combination of the transmission matrix method and the Jacobi iterative procedu...
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| Datum: | 2013 |
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| Sprache: | Russian |
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Видавничий дім «Академперіодика»
2013
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| Назва журналу: | Radio physics and radio astronomy |
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rpra-journalorgua-article-11222013-04-05T00:30:25Z Resonance in Layered Bragg Structures with Nonlinear Elements Резонанс в слоистых брэгговских структурах с нелинейными элементами Borulko, V. P. Sidorov, D. V. The Bragg structures with nonlinear lumped elements and layerswith Kerr nonlinearity are considered. The pseudoinverse method for calculation the field at boundaries of the structures has been proposed. This method is the combination of the transmission matrix method and the Jacobi iterative procedure.This approximate numerical method takes into account changing the field amplitude on the thickness of the nonlinear layer.The sufficient accuracy of proposed method can be achievedby increasing the number of sublayers decomposition of thenonlinear resonance layers.The values of the amplitude of the transmitted wave for Bragg structures with lumped elements have been calculated as a function of frequency for different values of the incident wave amplitude.The resonance frequency shift and width of the hysteresisloops against the position of parallel connection of lumpedsusceptance have been investigated. В настоящей работе рассматриваются брэгговские структуры с сосредоточенными нелинейными элементами и слоя-ми, электрофизические свойства материалов которых описываются моделью керровской нелинейности. Для расчетараспределения полей на границах структур предложен псевдообратный метод, представляющий собой комбинациюметода матриц передачи и итерационной процедуры Якоби. Такой приближенный численный метод учитывает изме-нение поля на толщине нелинейного слоя и, обеспечивая достаточно высокую точность, может применяться дляструктур с произвольным количеством нелинейных слоев.Рассчитаны значения амплитуды прошедшей волны для брэгговских структур с сосредоточенными нелинейнымиэлементами в зависимости от частоты при различных значениях амплитуды падающей волны. Исследована зависи-мость смещения резонансной частоты и ширины гистерезисных петель от выбора точки параллельного включениянелинейной реактивной сосредоточенной проводимости. Видавничий дім «Академперіодика» 2013-04-03 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/1122 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 18, No 1 (2013); 75 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 18, No 1 (2013); 75 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 18, No 1 (2013); 75 2415-7007 1027-9636 ru http://rpra-journal.org.ua/index.php/ra/article/view/1122/760 |
| institution |
Radio physics and radio astronomy |
| baseUrl_str |
|
| datestamp_date |
2013-04-05T00:30:25Z |
| collection |
OJS |
| language |
Russian |
| format |
Article |
| author |
Borulko, V. P. Sidorov, D. V. |
| spellingShingle |
Borulko, V. P. Sidorov, D. V. Resonance in Layered Bragg Structures with Nonlinear Elements |
| author_facet |
Borulko, V. P. Sidorov, D. V. |
| author_sort |
Borulko, V. P. |
| title |
Resonance in Layered Bragg Structures with Nonlinear Elements |
| title_short |
Resonance in Layered Bragg Structures with Nonlinear Elements |
| title_full |
Resonance in Layered Bragg Structures with Nonlinear Elements |
| title_fullStr |
Resonance in Layered Bragg Structures with Nonlinear Elements |
| title_full_unstemmed |
Resonance in Layered Bragg Structures with Nonlinear Elements |
| title_sort |
resonance in layered bragg structures with nonlinear elements |
| title_alt |
Резонанс в слоистых брэгговских структурах с нелинейными элементами |
| description |
The Bragg structures with nonlinear lumped elements and layerswith Kerr nonlinearity are considered. The pseudoinverse method for calculation the field at boundaries of the structures has been proposed. This method is the combination of the transmission matrix method and the Jacobi iterative procedure.This approximate numerical method takes into account changing the field amplitude on the thickness of the nonlinear layer.The sufficient accuracy of proposed method can be achievedby increasing the number of sublayers decomposition of thenonlinear resonance layers.The values of the amplitude of the transmitted wave for Bragg structures with lumped elements have been calculated as a function of frequency for different values of the incident wave amplitude.The resonance frequency shift and width of the hysteresisloops against the position of parallel connection of lumpedsusceptance have been investigated. |
| publisher |
Видавничий дім «Академперіодика» |
| publishDate |
2013 |
| url |
http://rpra-journal.org.ua/index.php/ra/article/view/1122 |
| work_keys_str_mv |
AT borulkovp resonanceinlayeredbraggstructureswithnonlinearelements AT sidorovdv resonanceinlayeredbraggstructureswithnonlinearelements AT borulkovp rezonansvsloistyhbréggovskihstrukturahsnelinejnymiélementami AT sidorovdv rezonansvsloistyhbréggovskihstrukturahsnelinejnymiélementami |
| first_indexed |
2025-12-02T15:40:21Z |
| last_indexed |
2025-12-02T15:40:21Z |
| _version_ |
1850423657923346432 |