2009
DOI: 10.1103/physrevb.80.104119
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Pseudosurface acoustic waves in hypersonic surface phononic crystals

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 m, 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 … Show more

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Cited by 48 publications
(61 citation statements)
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“…SAW resonators have working frequencies up to GHz frequencies and the lattice constant goes down to micrometers and even micrometers [22,25,26]. Some authors have even explored the possibility of designing dual phononic-photonic crystals, these structures are called phoxonic crystals and they are used to study the simultaneous control of the propagation of acoustic and electromagnetic waves [23,[27][28][29].…”
Section: (B)mentioning
confidence: 99%
“…SAW resonators have working frequencies up to GHz frequencies and the lattice constant goes down to micrometers and even micrometers [22,25,26]. Some authors have even explored the possibility of designing dual phononic-photonic crystals, these structures are called phoxonic crystals and they are used to study the simultaneous control of the propagation of acoustic and electromagnetic waves [23,[27][28][29].…”
Section: (B)mentioning
confidence: 99%
“…A critical issue is the evaluation of the frequency of the pseudo-SAW solution u SAW , in relation to its strong surface confinement, calling for calculations beyond a perturbative approach. 9 We positively tested the reliability of the adopted framework in the hypersonic frequency range by benchmarking it against measurements reported by Siemens et al 8 for Ni on sapphire SPCs working up to 47 GHz, as shown in Fig. 1.…”
mentioning
confidence: 99%
“…and radiates elastic energy into the bulk. 9 The generated pseudo-SAW acoustically modulates the SPC, which serves as an optical phase diffraction grating for a second time-delayed EUV laser pulse with wavelength λ probe ∼ p. The EUV pulse hence probes the frequency ν 0 of acoustic modulation. The relative variation in the time-domain of the diffracted probe signal ∆I 1d /I 1d , as measured on the first order of diffraction spot 12 to improve the sensitivity with respect to standard reflection measurements, 13 oscillates at the pseudo-SAW frequency ν 0 .…”
mentioning
confidence: 99%
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“…In order to spot out the solutions characterized by an interface-confined displacement field in the PDMS-SPC, the SAW-likeness coefficient a(f) is calculated for each eigenmode. 29 The SAW-likeness coefficient identifies eigenmodes with mechanical energy confined in close proximity of the interface. The calculation is here performed taking aðf Þ ¼ hE A ðf Þi= hE tot ðf Þi, with hE A ðf Þi and hE tot ðf Þi being the time-averaged mechanical energy contents of the eigenmode at frequency f in domain A and in the entire PDMS-SPC unit cell, respectively, as illustrated in the inset of Figure 3(b).…”
mentioning
confidence: 99%