Volume 85, Number 3, February 2009
Article Number 34001
Number of page(s) 6
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
Published online 02 February 2009
EPL, 85 (2009) 34001
DOI: 10.1209/0295-5075/85/34001

A nonstationary form of the range refraction parabolic equation and its application as an artificial boundary condition for the wave equation in a waveguide

P. S. Petrov and M. Yu. Trofimov

Il'ichev Pacific Oceanological Institute - Baltiyskaya 43, Vladivostok, 690041, Russia

received 13 May 2008; accepted in final form 7 January 2009; published February 2009
published online 2 February 2009

The time-dependent form of Tappert's range refraction parabolic equation is derived and proposed as an artificial boundary condition for the wave equation in a waveguide. The numerical comparison with Higdon's absorbing boundary conditions shows sufficiently good quality of the new boundary condition at low computational cost.

42.25.Bs - Wave propagation, transmission and absorption.
02.60.Lj - Ordinary and partial differential equations; boundary value problems.
43.20.Bi - General linear acoustics: Mathematical theory of wave propagation.

© EPLA 2009