Open AccessSecond-harmonic generation of the Bessel sound beam of several lobes
Author(s) -
Yanpeng Dai,
Desheng Ding
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.124302
Subject(s) - bessel function , beam (structure) , bessel beam , gaussian beam , physics , harmonic , optics , aperture (computer memory) , attenuation , side lobe , absorption (acoustics) , mathematical analysis , acoustics , mathematics , computer science , telecommunications , antenna (radio)
By the Gaussian expansion approach we investigate fundamental- and second-harmonic generation in practical Bessel beams of several lobes. The analysis is based on the integral solutions of the Khokhlov-Zabolotskaya-Kuznetsov equation under the quasilinear approximation. The influence of the medium attenuation on beam profile is considered. Numerical results show that the absorption parameter has a significant effect on the beam profile of the second harmonic. Under certain circumstances, the second harmonic of a practical Bessel beam with several lobes still has the main properties of an ideal Bessel beam of infinite aperture when it propagates within its depth of field.