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

• Publisher: Institute of Physics, Polish Academy of Sciences
• 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

References

• 1. S.A. Gundersen, L. Wang, J. Lothe, Wave Motion 14, 129 (1991)
• 2. A.G. Every, Phys. Rev. B 78, 174104 (2008)
• 3. D. Twaróg, D. Trzupek, P. Zieliński, Acta Phys. Pol. A 115, 579 (2009)
• 4. D. Twaróg, P. Zieliński, Phase Transit. 79, 577 (2006)
• 5. D. Trzupek, P. Zieliński, Phys. Rev. Lett. 103, 075504 (2009)
• 6. N.E. Glass, A.A. Maradudin, J. Appl. Phys. 54, 796 (1983)
• 7. V.G. Mozhaev, M. Weihnacht, Ultrasonics 40, 927 (2002)
• 8. P. Zieliński, Z. Łodziana, T. Srokowski, Prog. Surf. Sci. 59, 265 (1998)
• 9. D. Trzupek, P. Zieliński, to be published
• 10. K. Jagielska, D. Trzupek, M. Lepers, A. Pelc, P. Zieliński, Phys. Rev. E 76, 066304 (2007)

Identifiers

DOI

10.12693/APhysPolA.117.570