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arXiv · 0908.1249

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·M. Yu. Trofimov
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Abstract

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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P. S. Petrov, M. Yu. Trofimov. 2009-08-09. A nonstationary form of the range refraction parabolic equation and its application as an artificial boundary condition for the wave equation in a waveguide. https://doi.org/10.1209/0295-5075/85/34001

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