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

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

2009-08-09

arxiv.org/abs/0908.1249v1

EPL, 85 (2009) 34001

Physics

Mathematical Physics

12 pages, 9 figures

Scientific paper

The time-dependent form of Tappert's range refraction parabolic equation is derived using Daletskiy-Krein formula form noncommutative analysis 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.

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