We present a theoretical framework allowing to properly address the nature of surfacelike eigenmodes in a hypersonic surface phononic crystal, a composite structure made of periodic metal stripes of nanometer size and periodicity of 1 um, deposited over a semi-infinite silicon substrate. In surface-based phononic crystals there is no distinction between the eigenmodes of the periodically nanostructured overlayer and the surface acoustic modes of the semi-infinite substrate, the solution of the elastic equation being a pseudosurface acoustic wave partially localized on the nanostructures and radiating energy into the bulk. This problem is particularly severe in the hypersonic frequency range, where semi-infinite substrate s surface acoustic modes strongly couple to the periodic overlayer, thus preventing any perturbative approach. We solve the problem introducing a surface-likeness coefficient as a tool allowing to find pseudosurface acoustic waves and to calculate their line shapes. Having accessed the pseudosurface modes of the composite structure, the same theoretical frame allows reporting on the gap opening in the now well-defined pseudo-SAW frequency spectrum. We show how the filling fraction, mass loading, and geometric factors affect both the frequency gap, and how the mechanical energy is scattered out of the surface waveguiding modes.

Nardi, D., Banfi, F., Giannetti, C., Revaz, B., Ferrini, G., Parmigiani, F., Pseudo-surface acoustic waves in hypersonic surface phononic crystals, <<PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS>>, 2009; 80 (Settembre): N/A-N/A. [doi:10.1103/PhysRevB.80.104119] [http://hdl.handle.net/10807/7415]

Pseudo-surface acoustic waves in hypersonic surface phononic crystals

Nardi, Damiano;Banfi, Francesco;Giannetti, Claudio;Revaz, Bernard;Ferrini, Gabriele;Parmigiani, Fulvio
2009

Abstract

We present a theoretical framework allowing to properly address the nature of surfacelike eigenmodes in a hypersonic surface phononic crystal, a composite structure made of periodic metal stripes of nanometer size and periodicity of 1 um, deposited over a semi-infinite silicon substrate. In surface-based phononic crystals there is no distinction between the eigenmodes of the periodically nanostructured overlayer and the surface acoustic modes of the semi-infinite substrate, the solution of the elastic equation being a pseudosurface acoustic wave partially localized on the nanostructures and radiating energy into the bulk. This problem is particularly severe in the hypersonic frequency range, where semi-infinite substrate s surface acoustic modes strongly couple to the periodic overlayer, thus preventing any perturbative approach. We solve the problem introducing a surface-likeness coefficient as a tool allowing to find pseudosurface acoustic waves and to calculate their line shapes. Having accessed the pseudosurface modes of the composite structure, the same theoretical frame allows reporting on the gap opening in the now well-defined pseudo-SAW frequency spectrum. We show how the filling fraction, mass loading, and geometric factors affect both the frequency gap, and how the mechanical energy is scattered out of the surface waveguiding modes.
2009
Inglese
Nardi, D., Banfi, F., Giannetti, C., Revaz, B., Ferrini, G., Parmigiani, F., Pseudo-surface acoustic waves in hypersonic surface phononic crystals, <<PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS>>, 2009; 80 (Settembre): N/A-N/A. [doi:10.1103/PhysRevB.80.104119] [http://hdl.handle.net/10807/7415]
File in questo prodotto:
File Dimensione Formato  
Nardi2009.pdf

accesso aperto

Descrizione: arXiv:0904.0366v3 author's version
Tipologia file ?: Preprint (versione pre-referaggio)
Licenza: Creative commons
Dimensione 483.36 kB
Formato Adobe PDF
483.36 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/7415
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 42
social impact