A bound on group velocity for Bloch wave packets

2012/03/01 by Grégoire Allaire, Allaire, Grégoire, Mariapia Palombaro +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1203.0218

arxiv created 2012/03/01 · arxiv updated 2012/03/02

Abstract

This short note is a sequel to our previous papers on the asymptotic behavior of Bloch wave packet solutions of the wave equation in periodic media. The purpose is to prove that the group velocity for these Bloch wave packets is bounded by the maximal speed of propagation for the original wave equation.

Related

• Bloch Oscillators: motion of wave-packets
• Propagation and dispersion of Bloch waves in periodic media with soft inclusions
• Slowdown of group velocity in periodic waveguides
• Slow propagation velocities in Schrödinger operators with large periodic potential
• Waves in slowly varying band-gap media