A closed-form field analysis of a broad-band annular array.

@article{Song1989ACF,
  title={A closed-form field analysis of a broad-band annular array.},
  author={Terence Min Khian Song and Song B. Park},
  journal={IEEE transactions on ultrasonics, ferroelectrics, and frequency control},
  year={1989},
  volume={36 6},
  pages={661-71}
}
A closed-form transient field response under the paraxial approximation for an impulse wave excited by a circularly symmetric ultrasonic transducer is derived. The analysis is based on linear transform techniques to obtain the impulse response of a planar or a lensed transducer such as a disk or an annulus in the whole field of view. A closed-form solution is obtained for the focal plane response of a nonuniform aperture with an apodizing function represented by a polynomial of the radial… CONTINUE READING

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