title: Radiation pattern of a focused transducer: a numerically convergent solution.
abstract: The radiation pattern of a focused transducer is reexamined. The radiation field is divided into an illuminated zone and a shadow zone. A numerically convergent solution of the pressure distribution in terms summations of Bessel functions is provided. This solution is computationally more advantageous than earlier results where a double or single integral in the complex plane is required. The pressure amplitude differs from earlier reports slightly for off-axis locations at low frequency. This difference may have significance for backscatter coefficient determination where scatterers are assumed present over a time-gated volume. The solution for a flat disk radiator is obtained as a limiting case.
authors.affiliation: Rochester Center for Biomedical Ultrasound, New York.
authors.forename: X
authors.initials: X
authors.lastname: Chen
authors.forename: K Q
authors.initials: KQ
authors.lastname: Schwarz
authors.forename: K J
authors.initials: KJ
authors.lastname: Parker
mesh_terms: D000162:Acoustics; D008962:Models, Theoretical; D011827:Radiation; D014159:Transducers