|
|
|
Science Newsletter of the Faculty fo Physics
This is a new bulletin, which, as we hope, will bring fresh, updated information on scientific news, research activities, and related events in the life of our department to our staff members, undegraduate and graduate students, postdocs, collaborators and partners. We greatly hope that this Science Newsletter will help us to find new partners in research and shorten the way from fundamental research to applications and innovations, from our fundamental discoveries to their successful implementations in not too distant future.
XIV National School-Seminar "Wave phenomena in inhomogeneous media"
The conference papers from the School-Seminar «Waves-2014» will be submitted for publishing in the Memoirs of the Faculty of Physics journal.
| Journals » Memoirs of the Faculty of Physics » Issues » 2016 » # 6 |
Numerical modeling of axially symmetric focused fields generated by ultrasound surgery transducers using a wide-angle parabolic approximation
I. S. Mezdrokhin, P.V. Yuldashev, V. A. Khokhlova
Faculty of Physics, Lomonosov Moscow State University. Moscow 119991, RussiaA numerical algorithm for calculating ultrasound fields radiated from axially symmetric focused sources was developed on the basis of a wide-angle parabolic approximation of the Helmholtz equation. A numerical solution for the field of an axially symmetric spherical radiator with an aperture of a = 5cm, focal length F = 9cm, and the frequency f = 1MHz was obtained. The solution was compared to those obtained using the full diffraction formulation and with conventional parabolic equation. The results showed that the relative error in pressure amplitude at the focus was 1–2% for a wide-angle parabolic approximation and 10–12% for the conventional parabolic approximation comparing to the exact Rayleigh integral solution. Calculation time for a wide-angle model was comparable to conventional parabolic model, and was an order of magnitude less than calculating the exact solution using the Rayleigh integral.
| URL: | http://uzmu.phys.sunmarket.com/abstract/2016/6/166702 |
| PACS: | 43.20.Bi Mathematical theory of wave propagation |
| UDC: | |
| Цитата: | И. С. Мездрохин, П. В. Юлдашев, В.А. Хохлова. Моделирование полей аксиально–симметричных сфокусированных излучателей ультразвуковой хирургии с использованием широкоугольного параболического приближения // Учен. зап. физ. фак-та Моск. ун-та. 2016. № 6. 166702 |