A Non-Iterative Construction of a Class of 2-D Wave Speed from Forward Scattering Data

Date

2019-08

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Abstract

A non-iterative method for constructing a class of 2-dimensional wave speed from forward scattering data by using Eikonal approximation approach is developed. Two dimensional Eikonal approximation of scattering amplitude was gotten by considering the integral representation of the solution of Helmholtz equation, and then used to develop inverse method to construct two dimensional wave speed. Also, numerical comparisons were carried out for wave speed constructed from Eikonal amplitude, using the inverse method developed, with the speed constructed from the exact amplitude as well as the exact speed for some known examples. This inverse method will be effective in application because it’s easy to implement and gives good recovery (or construction) of wave speed.

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Keywords

Mathematical physics, Wave equation, Eikonal equation, Helmholtz equation

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©2019 Charles Ekene Chika

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