Optimum Directivity Synthesis of Ultrasonic Transducers Using Direct Inversion in Combination with Iterative DFP Method

  • K. R. Cho (Dept. of Electronic Communication Engineering, Yosu National University) ;
  • Kim, C. D. (Dept. of Electronic Engineering, Pukyong National University) ;
  • T. Tsuchiya (Dept. of Electronics and Information Systems Engineering, Akita Prefectural University) ;
  • Y. Kagawa (Dept. of Electronics and Information Systems Engineering, Akita Prefectural University)
  • Published : 2001.10.01

Abstract

Optimum directivity synthesis of ultrasonic transducers in linear array is considered. To realize the desired directivity, a robust and efficient method is proposed which is the direct inversion combined with the iterative DFP (Davidon-Fletcher-Powell) method. A quasi-ideal beam with the beam width and the steering beam angle specified are chosen for the numerical demonstrations. The demonstration is then extended to the case of multi-beams. The proposed combination method shows quick convergence over the single LMS or DFP method at the expense of the system matrix inversion.

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