2002
DOI: 10.1016/s0165-2125(01)00114-7
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Scattering by periodic cracks and theory of comb transducers

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Cited by 16 publications
(13 citation statements)
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“…In this case the results of the full-wave analysis of radiation and scattering problems for a periodic (Tasinkevych, Danicki, 2010;2011) or a finite (Tasinkevych, 2010) baffle system can be applied. The method is based on BIS-expansion (Blotekjaer et al, 1973) of the wave-field Bloch component series into the finite series of Legendre polynomials, which was successfully applied to solving electrostatic problems in the theory of surface acoustic wave transducers (Danicki, Tasinkevych, 2006), in the theory of elastic wave scattering by periodic cracks (Danicki, 2002) and in the theory of EM scattering by periodic structures (Tasinkevych, 2008;2009;2011). Another advantage of the MSTA algorithm as compared to the STA is the increase of the frame rate, which feature is of highest priority for implementation in the real time imaging applications.…”
Section: Resultsmentioning
confidence: 99%
“…In this case the results of the full-wave analysis of radiation and scattering problems for a periodic (Tasinkevych, Danicki, 2010;2011) or a finite (Tasinkevych, 2010) baffle system can be applied. The method is based on BIS-expansion (Blotekjaer et al, 1973) of the wave-field Bloch component series into the finite series of Legendre polynomials, which was successfully applied to solving electrostatic problems in the theory of surface acoustic wave transducers (Danicki, Tasinkevych, 2006), in the theory of elastic wave scattering by periodic cracks (Danicki, 2002) and in the theory of EM scattering by periodic structures (Tasinkevych, 2008;2009;2011). Another advantage of the MSTA algorithm as compared to the STA is the increase of the frame rate, which feature is of highest priority for implementation in the real time imaging applications.…”
Section: Resultsmentioning
confidence: 99%
“…(9). Now, we need only to check if the applied wave-field solution satisfies the wave equation inside the media, which equation is represented at the plane z = 0 by the harmonic admittance G(r + nK) or more convenient, by its version g, Eq.…”
Section: Application Of Electrostatic Methodsmentioning
confidence: 99%
“…Similar electrostatic method can be applied for analyzing finite (aperiodic) system of baffles, as well (Boersma, Danicki, 1993;Danicki, 1996;Tasinkevych, 2004). Moreover, the method results in the small system of equations to be solved numerically, and yields the results which satisfy exactly the energy conservation law (with machine accuracy (Danicki, 1999;2002)), in both the generation and scattering cases.…”
Section: Introductionmentioning
confidence: 99%
“…This requires small interface wave damping caused by its leakage into bulk waves, in both the comb and the substrate. High damping would prevent the distant teeth contribution to the transducer output (Danicki, 2002). In this paper, weak coupling of the comb to the substrate is assumed (Quarry, Rose, 2002) applying the idle comb approximation, hence considering the surface, instead of the interface waves.…”
Section: Casementioning
confidence: 99%
“…Two most interesting cases are presented: for period of grooves smaller than half of the Rayleigh wave-length λ R , which is the case exploited in Bragg reflectors of Fabry-Perrot resonators in micro-acoustic devices (Biriukov et al, 1995;Danicki, 1984), and the case of teeth period close to λ R , applied in comb transducers (Danicki, 2002). In the latter case, the surface wave spatial frequency takes complex values for two reasons: due to the Bragg reflection and due to the scattering into bulk waves in the substrate.…”
Section: Introductionmentioning
confidence: 99%