Paper
14 April 2005 Fast-pressure field calculations applied to large spherical ultrasound phased arrays designed for thermal therapy
Xiaozheng Zeng, Liyong Wu, Robert J. McGough
Author Affiliations +
Abstract
Large spherical ultrasound phased arrays are ideal for simulation studies of thermal therapy devices designed for noninvasive breast cancer treatments. In a spherical array, circular sources packed in a dense hexagonal arrangement facilitate the most efficient use of the available aperture. Circular sources are also preferred for simulations of large phased arrays because pressure fields are computed more rapidly for circular pistons than for any other transducer geometry. The computation time is further reduced for circular transducers with grid sectoring. With this approach, the grid of computed pressures is divided into several regions, and then grid sectoring applies more abscissas in regions where the pressure integral converges slowly and fewer abscissas where the integral converges rapidly. As a result, the peak value of the numerical error is roughly the same in each sector, so the maximum numerical error in the computed field is maintained while the computation time is significantly reduced. The grid sectoring approach is extended to three dimensions (3D) for pressure field calculations with spherical arrays. In 3D calculations, the sectors are represented by cones, and the intersections between the computational grid and these cones define the boundaries required for grid sectoring. When these cone structures are applied to spherical phased arrays, 3D grid sectoring calculations rapidly compute the pressure fields so that the time required for array design and evaluation is substantially reduced.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Xiaozheng Zeng, Liyong Wu, and Robert J. McGough "Fast-pressure field calculations applied to large spherical ultrasound phased arrays designed for thermal therapy", Proc. SPIE 5698, Thermal Treatment of Tissue: Energy Delivery and Assessment III, (14 April 2005); https://doi.org/10.1117/12.611446
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Cited by 3 scholarly publications.
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KEYWORDS
Transducers

Near field

Phased arrays

Spherical lenses

Signal attenuation

Computer simulations

Ultrasonography

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