Electrostatics of interdigital transducers

Danicki, E.

doi:10.1109/tuffc.2004.1295430

Cited by 12 publications

(10 citation statements)

References 10 publications

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“…Further modification of the presented method makes it applicable for analyzing finite transducer array, periodic or having different transducer elements with different width and spacing (Danicki, 2004;Tasinkevych, 2004). Such modification may help reducing spurious effects connected with abrupt ends of the transducer system, which is considered as quite difficult for analysis.…”

Section: Discussionmentioning

confidence: 99%

“…The larger the BIS expansions are, Eqs. (10), that is the larger the applied N is, the better approximation is achieved.…”

Section: Application Of Electrostatic Methodsmentioning

confidence: 99%

“…(in somewhat transformed form, using identities P n (−x) = (−1) n P n (x) and P −n−1 = P n ), yielding (Danicki, 2004):…”

Section: Application Of Electrostatic Methodsmentioning

confidence: 99%

“…A similar system of baffles modeling the phased array transducer was considered for example in (Kuhnicke, 2007). An efficient method developed in electrostatics (Danicki, 2004) is found suitable for rigorous solution of the above-mentioned problem for planar periodic baffles. Similar electrostatic method can be applied for analyzing finite (aperiodic) system of baffles, as well (Boersma, Danicki, 1993;Danicki, 1996;Tasinkevych, 2004).…”

Section: Introductionmentioning

confidence: 99%

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Full-wave Analysis of Periodic Baffle System in Beamforming Applications

Tasinkevych¹,

Danicki²

2010

Archives of Acoustics

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Mixed boundary-value problem for periodic baffles in acoustic medium is solved with help of the method developed earlier in electrostatics. The nice feature of the method is that the resulting matrices are relatively easy for computations and that the results satisfy exactly the energy conservation law. Illustrative numerical examples present the wave-beam steering (in the far-field) in a baffle system that may be considered as a model of one-dimensional ultrasonic transducer array.

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Section: Discussionmentioning

confidence: 99%

“…The larger the BIS expansions are, Eqs. (10), that is the larger the applied N is, the better approximation is achieved.…”

Section: Application Of Electrostatic Methodsmentioning

confidence: 99%

“…(in somewhat transformed form, using identities P n (−x) = (−1) n P n (x) and P −n−1 = P n ), yielding (Danicki, 2004):…”

Section: Application Of Electrostatic Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Full-wave Analysis of Periodic Baffle System in Beamforming Applications

Tasinkevych¹,

Danicki²

2010

Archives of Acoustics

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“…(2). Namely, following the same considerations as in (Danicki et al, 1995;Danicki, 2004), we multiply the functions from Eq. (7) by exp (−jmKx) and take linear combinations of the resulting terms.…”

Section: Methods Of Solutionmentioning

confidence: 99%

Wave Generation by a Finite Baffle Array in Application to Beam-Forming Analysis

Tasinkevych¹

2010

Archives of Acoustics

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Directional excitation of sound in an aperiodic finite baffle system is analyzed using a method developed earlier in electrostatics. The solution to the corresponding boundary value problem is obtained in the spatial-frequency domain. The acoustic pressure and normal particle velocity distribution in acoustic media can be easily computed by the inverse Fourier transform from their spatial spectra on the baffle plane. The presented method can be used for linear acoustic phased arrays modeling with finite element size and inter-element interactions taken into account. Some illustrative numerical examples presenting the far-field radiation pattern and wavebeam steering are given.

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