Linear and nonlinear resonances in Bragg layered structures with lumped parallel reactive inhomogeneities

Author

Borulko, V. ; Sidorov, D.

Author_Institution

Dept. of Phys., Electron. & Comput. Syst., Dnipropetrovsk Nat. Univ., Dnipropetrovsk, Ukraine

fYear

2010

fDate

6-8 Sept. 2010

Firstpage

1

Lastpage

4

Abstract

Scattering of plane monochromatic waves on quasiperiodic layered structures is considered. Exact solutions for complex amplitudes of reflected and transmitted waves are found by method of transmission matrices. Influence of connection of lumped elements on resonance properties of Bragg resonators is investigated. Optimal values of reactive conductivity for different values of thickness of central layer are found. Shifting of resonance frequency for nonoptimal values of conductivity of shunt element is considered. Hysteresis behavior is observed for case of Kerr nonlinearity.

Keywords

inhomogeneous media; light propagation; light scattering; optical Kerr effect; optical resonators; periodic structures; transmission line matrix methods; Bragg layered structure; Bragg resonators; Kerr nonlinearity; hysteresis behavior; lumped elements; lumped parallel reactive inhomogeneity; nonlinear resonance; plane monochromatic wave scattering; quasiperiodic layered structures; reactive conductivity; resonance frequency shifting; transmission matrix method; Conductivity; Eigenvalues and eigenfunctions; Periodic structures; Permeability; Permittivity; Reflection; Resonant frequency;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory (MMET), 2010 International Conference on

Conference_Location

Kyiv

Print_ISBN

978-1-4244-8859-9

Type

conf

DOI

10.1109/MMET.2010.5611440

Filename

5611440