Graduate School in Nonlinear Science

Sponsored by The Danish Research Agency

 
MIDIT                              OFD                          CATS
Modelling, Nonlinear Dynamics      Optics and Fluid Dynamics    Chaos and Turbulence Studies
and Irreversible Thermodynamics    Risø National Laboratory     Niels Bohr Institute and
Technical University of Denmark    Building 128                 Department of Chemistry
Building 321                       P.O. Box 49                  University of Copenhagen
DK-2800 Lyngby                     DK-4000 Roskilde             DK-2100 Copenhagen Ø
Denmark                            Denmark                      Denmark


ON A SIMPLE MODEL OF THE PHOTONIC OR PHONONIC CRYSTAL

by Professor Arnold M. Kosevich
B. Verkin Institute for Low Temperature Physics and Engineering
of National Academy of Sciences of Ukraine
310164 Kharkov
Ukraine
email: kosevich@ilt.kharkov.ua


MIDIT-seminar 515



Wednesday, November 6, 2002, 16.00 h
at IMM, Bldg. 305, Room 053, DTU


Abstract: A model is prposed for a one dimensional dielectric or elastic superlattice (SL) that relatively simply describes the frequency spectrum of electromagnetic or acoustic waves. The band frequency spectrum is reduced to minibands with increasing frequency. A procedure is suggested for obtaining local states near a defect in SL, and the simplest of these states is described. Conditions for the initiation of Bloch oscillations of a wave packet in a SR are discussed. Nonlinear equations are constructed to discribe the propagation of soliton excitations in the SL.