Angular Spectrum Method

The angular spectrum method is a mathematical technique used to model acoustic propagation effects in tissue, including absorption, refraction, dispersion, and phase distortion. It involves solving the Helmholtz equation for quasi-steady-state conditions using the fast Fourier transform to calculate wave propagation in the frequency domain, which reduces computation time. However, its implementation has historically been limited to homogeneous models.From: Principles and Applications of Therapeutic Ultrasound in Healthcare [2019], Validation of hybrid angular spectrum acoustic and thermal modelling in phantoms [2018]

An Overview of Ultrasonic Exposimetry and its Clinical Relevance

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Published in Marvin C. Ziskin, Peter A. Lewin, Ultrasonic Exposimetry, 2020

Peter A. Lewin, Marvin C. Ziskin

Chapter 9 discusses the use of the Angular Spectrum method in ultrasound transducer characterization. It explains how the vibration pattern of the transducer surface is reconstructed by adequate sampling of the pressure-time waveform in the field. This chapter also discusses potential applicability of the method to predict the effect of tissue on imaging transducer performance and to aid in optimizing transducer design.

Experimental validation of acoustic and thermal modeling in heterogeneous phantoms using the hybrid angular spectrum method

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Published in International Journal of Hyperthermia, 2021

Megan Hansen, Douglas Christensen, Allison Payne

This study aims to quantify the accuracy of focused ultrasound treatment planning using the hybrid angular spectrum method in controlled homogeneous and heterogeneous phantom environments by directly comparing simulations with experimental pressure and temperature patterns. In the many practical applications where inexactness due to the approximations of the HAS method is less or no greater than other uncertainties in the simulation, the computational efficiency of the HAS algorithm provides potential clinical utility in patient-specific treatment planning performed during focused ultrasound treatments.

Angular Spectrum Method

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An Overview of Ultrasonic Exposimetry and its Clinical Relevance

Experimental validation of acoustic and thermal modeling in heterogeneous phantoms using the hybrid angular spectrum method