Surface True and Leaky Waves in Subsonic and Supersonic Regions. Explicit Solution of a Simple Model

• Authors: D. Trzupek , P. Zieliński
• Languages of publication: EN

Abstracts

EN

A simple model of a surface of a 2D continuum is shown to exhibit subsonic and supersonic surface resonances (leaky waves, pseudosurface waves), i.e. finite-lived excitations, along with usual surface waves (true subsonic surface waves). The physical meaning, controversial in the existing literature, of the surface leaky waves in both regions is discussed by a thought experiment in which a stimulus adjusted to the resonance parameters is applied to the surface. The infinite displacement-stimulus ratio in the long-time limit then is shown to be in power in all the cases of surface states and a finite amplitude of the leaky waves is demonstrated despite an apparent divergence suggested by their algebraic form.

Keywords

EN

63.20.D-; 68.35.Ja

Discipline

• 68.35.Ja: Surface and interface dynamics and vibrations
• 63.20.D-: Phonon states and bands, normal modes, and phonon dispersion

• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 117
• Issue: 4
• Pages: 570-573

Dates

published

2010-04

Contributors

author

D. Trzupek

• The H. Niewodniczański Institute of Nuclear Physics PAN, Radzikowskiego 152, 31-342 Cracow, Poland
• Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Cracow, Poland

author

P. Zieliński

• The H. Niewodniczański Institute of Nuclear Physics PAN, Radzikowskiego 152, 31-342 Cracow, Poland
• Institute of Physics, Cracow University of Technology, Podchorążych 1, 30-084 Cracow, Poland

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Identifiers

DOI

10.12693/APhysPolA.117.570