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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Bibliographic Details
Date:2013
Main Authors: Borulko, V. P., Sidorov, D. V.
Format: Article
Language:Russian
Published: Видавничий дім «Академперіодика» 2013
Online Access:http://rpra-journal.org.ua/index.php/ra/article/view/1122
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Journal Title:Radio physics and radio astronomy

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Radio physics and radio astronomy
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Summary: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.