论文信息 - The connection between time‐ and frequency‐domain three‐dimensional inverse scattering methods

The connection between time‐ and frequency‐domain three‐dimensional inverse scattering methods

We relate three‐dimensional scattering theory for the time‐independent Schrodinger equation without spherical symmetry to scattering theory for the plasma‐wave equation (PWE). We review a recent inverse scattering method for the PWE and find the corresponding method for the Schrodinger equation. We then review Newton’s three‐dimensional Marchenko method for the Schrodinger equation and transform it to the corresponding PWE method. The resulting time‐domain hyperbolic method clarifies the role of causality in Newton’s important recent work.

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