Nonlinear resonances in Bragg layered structures with lumped reactive elements

Author

Borulko, V.F. ; Sidorov, D.V.

Author_Institution

Dnipropetrovsk Nat. Univ., Dnipropetrovsk, Ukraine

fYear

2010

fDate

27-30 Sept. 2010

Firstpage

123

Lastpage

126

Abstract

Scattering of plane monochromatic waves on Bragg layered structures with nonlinear lumped inhomogeneities is considered. Exact solutions for complex amplitudes of reflected and transmitted waves are found by method of transmission matrices. Complicated hysteresis phenomena are observed for case of Kerr nonlinearity of two nonlinear elements connected into Bragg structure. Analytical expressions describing relations of incident and transmitted amplitudes in “magnitude” hysteresis are obtained.

Keywords

light scattering; light transmission; optical Kerr effect; optical elements; reflectivity; Bragg layered structures; Kerr nonlinearity; incident amplitudes; lumped reactive elements; nonlinear elements; nonlinear resonances; plane monochromatic wave scattering; transmission matrices; transmitted amplitudes; wave reflection; waves transmission; Eigenvalues and eigenfunctions; Nonhomogeneous media; Optical resonators; Periodic structures; Permeability; Permittivity; Resonant frequency;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2010 Xvth International Seminar/Workshop on

Conference_Location

Tbilisi

Print_ISBN

978-1-4244-7790-6

Electronic_ISBN

978-966-02-5654-5

Type

conf

Filename

5623911