Objective
The objective of the work described here was to incorporate the spatial shapes of
the transducer elements into the framework of the full-waveform inversion.
Methods
An element is treated as its cross-section in the 2-D imaging plane, that is, a line
segment. The elements are not simply modeled as a set of point sources on their surface
to avoid staircasing artifacts. By use of the Fourier collocation method, an element
is spatially represented as the discrete convolution between its spatial distribution
and a band-limited delta function. The excitation pulses on the emitters and recorded
signals on the receivers are then weighted based on the discrete convolution results.
Digital and physical experiments are implemented to validate the method.
Discussion
It is meaningful to model the shapes of the elements if their spatial sizes are similar
to or larger than the acoustic wavelengths. It should, however, be noted that because
this article focuses on 2-D imaging, the inter-plane effects are not considered.
Conclusion
The approach helps reduce the root mean square errors and increase the structural
similarity of the reconstructed images. It also helps to improve the stability of
convergence and to accelerate the convergence speed.
Keywords
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Article info
Publication history
Published online: February 01, 2023
Accepted:
December 10,
2022
Received in revised form:
December 6,
2022
Received:
July 26,
2022
Identification
Copyright
© 2022 World Federation for Ultrasound in Medicine & Biology. All rights reserved.
