M. I. Belishev, A. F. Vakulenko, A. Ya. Kazakov, “Evolution of wave field jumps near caustics (elementary approach)”, Zap. Nauchn. Sem. POMI, 2015, Volume 438,Pages <nobr>46

Evolution of wave field jumps near caustics (elementary approach)

M. I. Belishev^ab, A. F. Vakulenko^a, A. Ya. Kazakov^cd

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^b St. Petersburg State University, St. Petersburg, Russia
^c St. Petersburg State University of Technology and Design, St. Petersburg, Russia
^d St. Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia

Abstract: The Poisson formula solving a $3$-dim Cauchy problem for the wave equation is applied to study behavior of the wave field singularities (jumps) near caustics in the $2$-dim and $3$-dim cases. The approach of quite elementary character enables one to describe the focusing effects in detail.

Key words and phrases: time-domain wave fields, propagation of jumps, singularities near caustics.

UDC: 517.9

Received: 12.10.2015