Title :
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
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;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory (MMET), 2010 International Conference on
Conference_Location :
Kyiv
Print_ISBN :
978-1-4244-8859-9
DOI :
10.1109/MMET.2010.5611440
