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Article Dans Une Revue Applied Physics Letters Année : 2010

Improvement of the computation of Fourier integrals using the complex plane: Application to acoustic fields

P. Gatignol
  • Fonction : Auteur
N. Bedrici

Résumé

This letter aims at showing the interest in using an integration path in the complex plane in order to calculate Fourier integrals, instead of using a real path, as needed for the fast Fourier transform algorithm as follows: fastness, accuracy, avoiding of singularities, or even aliasing phenomenon. The method is applied to the calculation of the acoustic field emitted by a transducer or a loudspeaker; for the same number of sampling points, the calculation of the spatial Fourier integrals is more accurate using a complex path than using a real path.
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Dates et versions

hal-00780386 , version 1 (23-01-2013)

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P. Gatignol, Catherine Potel, N. Bedrici. Improvement of the computation of Fourier integrals using the complex plane: Application to acoustic fields. Applied Physics Letters, 2010, pp.Art No. 044103. ⟨10.1063/1.3298359⟩. ⟨hal-00780386⟩
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