A Fast Calculation Method for the Scattered Sound Fields from Two Sound Beams Using the Gaussian-Beam Expansion Technique

Abstract

In this paper, a fast algorithm has been developed for the prediction of scattered sound fields from two uniform pistons intersecting at small angles. Based on the Khokhlov-Zabolotskaya nonlinear parabolic wave equation, the multidimensional integral expressions for the scattered sound fields from pistons are simplified to one-dimensional integrals using the Gaussianbeam expansion technique and, as a result, the computation loading is significantly reduced. The proposed algorithm is verified by its agreement with earlier literature. Furthermore, the effect of source separation on the generated sound fields is investigated while taking sound absorption into account in our analysis. It is found that a localized sound can be produced as two sources separate at a specific distance.

The investigation of localized sound generation using two ultrasound beams

“…Based on the KZK nonlinear parabolic wave equation, we have developed a fast algorithm to predict the scattered sound fields, which is verified by comparisons with literature [18]. For the evaluation of the acoustic field produced by 2 uniform sources as shown in Fig.…”

“…a quasilinear solution for the sum and difference frequency sound has been obtained [18], see (2) next page, where the superscript * represents the complex conjugate operator, the reference pressure P p p c 0 0 1 02 0 0 2 = b r / , β is the nonlinearity coefficient of the medium, α T = α 1 + α 2 − α ± , α ω is the attenuation coefficient at angular frequency ω [19], and a and v are respectively given by …”

“…This correspondence presents a fast algorithm for calculation of the scattered sound fields by applying the Gaussian-beam expansion technique [13]- [18] to the KhokhlovZabolotskaya-Kuznetsov (KZK) equation. The effects of 3 parameters on the scattered difference frequency sound fields are analyzed.…”

Effects on the Performance of Parametric Loudspeaker Caused by Nonideal Ultrasound Transducer

“…Many algorithms have been developed to calculate the nonlinear sound field. [14][15][16] In the simulation, the time-domain algorithm for solving the Khokhlov-Zabolotskaya-Kuznetsov (KZK) nonlinear parabolic wave equation was employed to calculate the demodulated signals produced by the transducers. The radius of the piston source is 0.1 m, the primary wave pressure is 120 dB, the carrier frequency is 40 kHz, the temperature is 28 C and the relative humidity is set at 60%.…”