Adaptive parameter selection scheme for nonlinear simulations using field II with operator splitting

Fox, P. and Tranquart, F. (2006) Adaptive parameter selection scheme for nonlinear simulations using field II with operator splitting. Ultrasound in Medicine & Biology, 32 (5), P275-P276. (doi:10.1016/j.ultrasmedbio.2006.02.1264).

Abstract

Objectives: Understanding and simulating nonlinear pulse propagation is of increasing interest in current ultrasound research. This article gives an adaptive parameter selection scheme for selecting parameters needed when the Field II linear propagation simulator is combined with operator splitting to enable nonlinear propagation simulations.
Methods: The general Field II/operator splitting technique was introduced in [1, 2], requiring the selection of various geometrical parameters associated with virtual propagating planes. At that stage these needed to be selected essentially by an iterative trial-and-error technique for a particular transducer geometry, frequency and focussing scheme. Whilst careful parameter selection could provide satisfactory results over a limited propagation range for a given transducer, excitation and focussing scheme, an automated parameter selection method for the general case was still lacking.
Results: The paper provides an adaptive method for selecting the required parameters as a function of the varying harmonic and spatial properties of the nonlinear pulse as it propagates through the medium.
Conclusions: The method is fully derived and the significant improvement in the simulator’s performance is demonstrated by comparison to previous results in [1, 2].

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