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Propagation of Displacement Pulses in Harmonic Crystals
Author(s) -
Czachor A.,
Holas A.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221030203
Subject(s) - dispersion relation , displacement (psychology) , dispersion (optics) , pulse (music) , harmonic , physics , optics , group velocity , signal (programming language) , displacement field , crystal (programming language) , field (mathematics) , computational physics , acoustics , mathematics , psychology , finite element method , detector , computer science , pure mathematics , psychotherapist , thermodynamics , programming language
The time evolution of the displacement field due to a localized initial pulse is calculated for a harmonic crystal. It is analyzed in detail for some simple phonon dispersion relations and for propagation in symmetric directions. The front of the pulse usually travels with sound velocity, except the case of a concave dispersion relation – the velocity is then different (higher). A “thought” experiment in which the dispersion relation may be determined from the analysis of the time profile of the arriving signal is considered.