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