+ Site Statistics
+ Search Articles
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ PDF Full Text
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Translate
+ Recently Requested

Decomposition of acoustic fields in quantised Bessel beams

Decomposition of acoustic fields in quantised Bessel beams

Ultrasonics 38(1-8): 190-194

Bessel beams are non-diffracting solutions to the wave equation, which become limited diffraction beams when implemented on finite apertures. In previous work we have applied Fourier-Bessel theory to deduce theoretically that the quantization of the Bessel beam profile on annular arrays results in a field which is a sum of limited diffraction fields. Here we demonstrate this for a five-ring, 20-mm diameter, 2.5-MHz transducer. The quantized field comprises a weighted sum of a main component corresponding to the desired field, along with three other major components and 28 lesser components representing undesired field components. The three major components correspond to limited diffraction beams with narrower beamwidths and shorter depths of field than the desired beam, and we show that these account for most of the discrepancies between the desired field and actual quantized field. An estimate and an interpretation of the number of field components as a function of the wavenumber are also given.

(PDF emailed within 0-6 h: $19.90)

Accession: 045711084

Download citation: RISBibTeXText

PMID: 10829656

DOI: 10.1016/s0041-624x(99)00039-6

Related references

Generation of generalized spiraling Bessel beams by a curved fork-shaped hologram with Bessel-Gaussian laser beams modulated by a Bessel grating. Optik - International Journal for Light and Electron Optics 154: 331-343, 2018

On the validity of localized approximations for Bessel beams: All N-Bessel beams are identically equal to zero. Journal of Quantitative Spectroscopy and Radiative Transfer 176: 82-86, 2016

Acoustic manipulation: Bessel beams and active carriers. Physical Review. E 96(4-1): 043001-043001, 2018

Application of acoustic bessel beams for handling of hollow porous spheres. Ultrasound in Medicine & Biology 40(2): 422-433, 2014

Formation of high-order acoustic Bessel beams by spiral diffraction gratings. Physical Review. E 94(5-1): 053004-053004, 2016

Off-axial acoustic radiation force of repulsor and tractor bessel beams on a sphere. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 60(6): 1207-1212, 2014

Multiscale Bessel beams generated by a tunable acoustic gradient index of refraction lens. Optics Letters 31(21): 3155-3157, 2006

Propagation-invariant beams with quantum pendulum spectra: from Bessel beams to Gaussian beam-beams. Optics Letters 38(17): 3325-3328, 2013

Optical analysis of time-averaged multiscale Bessel beams generated by a tunable acoustic gradient index of refraction lens. Applied Optics 47(20): 3609-3618, 2008

A tale of two beams an elementary overview of Gaussian beams and Bessel beams. Studia Geophysica et Geodaetica 56(2): 355-372, 2012

Stationary optical wave fields with arbitrary longitudinal shape by superposing equal frequency Bessel beams: Frozen Waves. Optics Express 12(17): 4001-4006, 2004

Self-reconstructing sectioned Bessel beams offer submicron optical sectioning for large fields of view in light-sheet microscopy. Optics Express 21(9): 11425-11440, 2014

Propagation and focusing of Bessel-Gauss, generalized Bessel-Gauss, and modified Bessel-Gauss beams. Journal of the Optical Society of America. A, Optics, Image Science, and Vision 18(1): 170-176, 2001

Periodic and quasi-periodic non-diffracting wave fields generated by superposition of multiple Bessel beams. Optics Express 15(25): 16748-16753, 2007

Axial acoustic radiation force on rigid oblate and prolate spheroids in Bessel vortex beams of progressive, standing and quasi-standing waves. Ultrasonics 74(): 62-71, 2016