Abstract

Data for attenuation in tissue fit a power law form: frequency raised to an exponent y which is typically between 1 and 2. A new self-consistent comprehensive causal model for elastic wave propagation in tissues with this type of loss has been derived based on the assumption that the loss per wavelength is small. The model agrees well with data and has the following features: (1) This model is in the form of a time domain wave equation with convolution operators for loss and phase velocity that depend on the value of y. (2) The frequency domain solution is expressed as a material transfer function that includes a velocity dispersion term which is maximum for y=1 and zero for y=0 or y=2. (3) The time domain solution is a material impulse response which can be used to predict broadband pulse propagation in tissues.

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