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Certain side effects of overheating non-targeted tissues and skull bones have been revealed. Here, an approach is developed to mitigate these effects. A specific design of a fully populated 256-element 1-MHz array shaped as a spherical segment (F-number, F# = 1) and filled by randomly distributed equal-area polygonal elements is proposed. Capability of the array to generate high-amplitude shock fronts at the focus is tested in simulations by combining three numerical algorithms for linear and nonlinear field modeling and aberration correction. The algorithms are based on the combination of the Rayleigh integral, a linear pseudo-spectral time domain Kelvin\u2013Voigt model, and nonlinear Westervelt model to account for the effects of inhomogeneities, aberrations, reflections, absorption, nonlinearity, and shear waves in the skull. It is shown that the proposed array can generate nonlinear waveforms with shock amplitudes &amp;gt;60\u2009MPa at the focus deep inside the brain without exceeding the existing technical limitation on the intensity of 40\u2009W\/cm2 at the array elements. Such shock amplitudes are sufficient for mechanical ablation of brain tissues using the boiling histotripsy approach and implementation of other shock-based therapies.<\/jats:p>","DOI":"10.1121\/1.5126685","type":"journal-article","created":{"date-parts":[[2019,9,28]],"date-time":"2019-09-28T00:17:39Z","timestamp":1569629859000},"page":"1786-1798","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":41,"title":["Simulation of nonlinear trans-skull focusing and formation of shocks in brain using a fully populated ultrasound array with aberration correction"],"prefix":"10.1121","volume":"146","author":[{"given":"Pavel B.","family":"Rosnitskiy","sequence":"first","affiliation":[{"name":"Department of Acoustics, Physics Faculty, Moscow State University , Leninskie Gory, Moscow 119991, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Petr V.","family":"Yuldashev","sequence":"additional","affiliation":[{"name":"Department of Acoustics, Physics Faculty, Moscow State University , Leninskie Gory, Moscow 119991, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Oleg A.","family":"Sapozhnikov","sequence":"additional","affiliation":[{"name":"Department of Acoustics, Physics Faculty, Moscow State University , Leninskie Gory, Moscow 119991, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Leonid R.","family":"Gavrilov","sequence":"additional","affiliation":[{"name":"Andreyev Acoustics Institute , Russian Federation, Moscow 117036, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vera A.","family":"Khokhlova","sequence":"additional","affiliation":[{"name":"Department of Acoustics, Physics Faculty, Moscow State University , Leninskie Gory, Moscow 119991, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"231","published-online":{"date-parts":[[2019,9,27]]},"reference":[{"key":"2023080508353687700_c1","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1121\/1.1529663","article-title":"Experimental demonstration of non invasive transskull adaptive focusing based on prior CT scans","volume":"113","year":"2003","journal-title":"J. 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