A Fourier-Bessel series is used to study the effects of varying the design parameters involved in implementing J0 Bessel beams in annular ultrasound transducers. A brief introduction to Bessel beams is given and their implementation on annular arrays is discussed. A mathematical analysis is provided to quantify the effects of varying the beam parameters subject to the constraints of a given transducer geometry. The results indicate that adequate implementation of Bessel beams is achievable when the transducer geometry is well matched to the desired Bessel beam design parameters. However, significant degradation can occur when the desired beam properties are altered. The insights given may also impact upon implementation considerations for X-waves, which are multifrequency Bessel beams theoretically offering the potential of ultra-high frame rate imaging
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