Title :
Nonlinear resonances in Bragg layered structures with lumped reactive elements
Author :
Borulko, V.F. ; Sidorov, D.V.
Author_Institution :
Dnipropetrovsk Nat. Univ., Dnipropetrovsk, Ukraine
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;
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
