title: Second-harmonic generation of the nth-order Bessel beam.
abstract: We investigate the second-harmonic generation of the nth-order Bessel beam in the nonlinear medium. The analysis is based on the Khokhlov-Zabolotskaya-Kuznetsov wave equation under the second-order approximation in nonlinear acoustics. The theory indicates that for an nth-order Bessel beam, the second-harmonic beam is nearly diffraction-free in the radial direction and behaves as a Bessel beam of the order 2n, and that the axial pressure amplitude is proportional to the square root of propagation distance. A variety of applications in many fields of nonlinear acoustics and nonlinear optics is expected.
authors.affiliation: Department of Electronic Engineering, Southeast University, Nanjing 210096, People's Republic of China.
authors.forename: D
authors.initials: D
authors.lastname: Ding
authors.forename: J Y
authors.initials: JY
authors.lastname: Lu
mesh_terms: D000162:Acoustics; D017711:Nonlinear Dynamics; D055095:Optics and Photonics; D012542:Scattering, Radiation