A Novel Algorithm for the Sound Field of Rectangular-Shaped Transducers

Abstract

An alternative extension to the Gaussian-beam expansion technique is provided to simplify the computation of the Fresnel field integral for rectangular symmetric sources. From a known result that the circle or rectangle function is approximately decomposed into a sum of Gaussian functions, the cosine function is similarly expanded by the Bessel-Fourier transform. Two expansions are together inserted in this field integral, it is then expressible in terms of the simple algebraic functions. As examples, the numerical results for the sound pressure field are presented for the uniform rectangular piston transducer, in a good agreement with those directly evaluated from the Fresnel integral. A wide applicability of this approach is discussed in treatment of the ultrasonic field radiation problem for a large and important group of piston sources in acoustics.

Optimal Design of an Ultrasound Transducer for Efficient Acousto-Optic Modulation of Terahertz Radiation

“…However, as can be seen from Figure 6 b,c, this is not the case: With a decrease in the width d of the ultrasound transducer, the working bandwidth of the incidence angles of THz radiation increases, while the working frequency bandwidth of ultrasound, in contrast, decreases. These facts once again confirm that an ultrasound transducer with a width almost equal to its thickness behaves in a complex manner, and its behavior can no longer be described by the approximation of a piston-type transducer [ 18 ].…”