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The Angular Spectrum Method Of Transducer Characterization
Book chapter

The Angular Spectrum Method Of Transducer Characterization

Mark E Schafer
Ultrasonic Exposimetry, pp 257-282
1993

Abstract

This chapter presents a relatively new approach to transducer characterization and ultrasonic field analysis. The method is based on the angular spectrum, or Fourier decomposition technique of wavefield propagation modeling. In this approach, acoustic propagation between parallel planar surfaces is modeled using the two-dimensional Fourier transform of the wavefield, with each element in the spatial frequency domain multiplied by the appropriate phase factor. The technique is unique in its ability to address two different problems related to ultrasonic exposimetry: (1) the detailed analysis of transducer surface velocity, which directly effects the transducer’s inson-ifying properties and (2) the propagation of ultrasound through layered in-homogeneous media, such as tissue. The first technique is referred to as backpropagation and the second, forward propagation. Since backpropagation is more fully developed at this time, the majority of the chapter is devoted to it. Forward propagation is discussed briefly as a potentially significant avenue for further study.

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