Fresnel Number Concept and Revision of some Characteristics in the Linear Theory of Focused Acoustic Beams

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dc.creatorMakov, Yu. N.
dc.creatorSanchez-Morcillo, V. J.
dc.date2008-01-09
dc.date.accessioned2026-07-07T08:53:33Z
dc.date.available2026-07-07T08:53:33Z
dc.descriptionThe advisability of the use of the Fresnel number as the measure (characteristic) of the ratio of diffraction and focusing properties for ultrasonic transducers and its radiated beams is proposed and demonstrated. Althought this characteristic is more habitual in optics, in acoustics the equivalent (mathematically although not fully in its physical meaning) parameter of linear gain is used as a rule. However, the preference and the more accuracy of the Fresnel number use is demonstrated here on the basis that the usual determination of the linear gain parameter ceases to correspond to the real value of the gain for low Fresnel number acoustic beams. It connects with the linear effect of axial maximum pressure shift from the geometrical focus towards the transducer. This effect is known for a long time, but here the analytical formulas describing this shift with a high accuracy for arbitrary Fresnel numbers are presented. As a consequence, also the analytical dependence of the real gain on the Fresnel number is obtained.
dc.descriptionSubmitted to Acta Acustica United with Acustica
dc.identifierhttps://arxiv.org/abs/0801.1476
dc.identifierhttp://arxiv.org/abs/0801.1476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145660
dc.subjectFluid Dynamics
dc.titleFresnel Number Concept and Revision of some Characteristics in the Linear Theory of Focused Acoustic Beams
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