Transmission Line Matrix (TLM) modelling of medical ultrasound
Date
07/2001Author
Ahmadian, Mansour
Metadata
Abstract
This thesis introduces TLM as a new method for modelling medical ultrasound wave propagation.
Basic TLM theory is presented and how TLM is related to Huygens principle is discussed. Two
dimensional TLM modelling is explained in detail and one dimensional and three dimensional
TLM modelling are explained.
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Implementing TLM in single CPU computers and parallel computers is discussed and several
algorithms are presented together with their advantages and disadvantages. Inverse TLM and
modelling non linear wave propagation and different types of mesh are discussed.
A new idea for modelling TLM as a digital filter is presented and removing the boundary effect
based on digital filter modelling of TLM is discussed.
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Some modelling experiments such as :
1) Focusing mirror.
2) Circular mirror.
3) Array transducers.
4) Doppler effect.
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are presented and how to use TLM to model these experiments is explained.
A new low sampling rate theory for TLM modelling is proposed and verified. This new theory
makes the modelling of a much larger spaces practical on a given hardware platform.