Presentation title: “Domain truncation issue in the parabolic equation theory: what do TBC, PML, CAP mean, and how they work?”
This is the second lecture of the Series of Lectures on “Parabolic equations: standard theory vs iterative parabolic approximations”
Presenter: Dr. Pavel S. Petrov
Time: 9:30-11:00 am, July 6, 2018
Location: Academic lecture hall on the 15th floor of the Underwater Acoustic Engineering Building
Short Bio of the presenter:
Pavel S. Petrov received his Master’s degree in Mathematics from Irkutsk State University, Russia; and his Doctorate degree in Theoretical Physics from Il’ichev Pacific Oceanological Institute, Russia. From 2012, Dr. Pavel S. Petrov is a Researcher in Il’ichev Pacific Oceanological Institute, and also an adjunct Associate Professor in Far Eastern Federal University. He has received the Humboldt Research Fellowships twice, and went to Universities in German as a visiting scholar. He also worked as a short-term post-doctoral researcher in University of Haifa, Israel, collaborating with Professor Boris Katsnelson. Dr. Pavel S. Petrov received the Illychef Prize for Young Scientists in Acoustics and Ocean Research from Il’ichev Pacific Oceanological Institute in 2017, due to the series of high-level papers on 3-dimension sound prorogation models his published.
The research focuses of Dr. Pavel S. Petrov includes acoustic propagation, absorption and scattering, computational ocean acoustics, mathematical modeling of wave processes, asymptotic methods and so on. Dr. Pavel S. Petrov has made significant contributions to the 3- dimensional ocean sound propagation and applications. Several programing codes on 3-dimensional sound field calculation written by him has been uploaded to the famous open-source website on underwater acoustics – Ocean Acoustics Library, which can be downloaded for free.
Abstract of the presentation:
The lecture provides an overview of existing numerical approaches to the artificial domain truncation in the parabolic equation theory. This technique is important for the solution of propagation problems in various applications including underwater acoustics, radiowaves theory, geophysics, optics etc., since in many cases the domains where the wavefields must be computed have no physical boundaries. Existing approaches include artificial/absorbing/transparent boundary conditions, perfectly matched layers, and complex absorbing potentials. Each of them has certain strengths and weaknesses, and the choice of suitable technique often depends on the application field. In our lecture we attempt to provide a comprehensive overview of existing approaches and to show several practically important examples.
