Inverse scattering and the Geroch group

Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential

In the present work, under some di¤erentiability conditions on the potential functions , we …rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructin...

The Inverse Electromagnetic Scattering

We consider the electromagnetic inverse scattering problem of determining the support of an orthotropic or anisotropic anomaly in a homogeneous background medium from a knowledge of the electric far eld pattern corresponding to the scattering of electromagnetic plane waves. Our aim is to derive a linear integral equation of the rst kind from which the support of the anomaly can be found by exam...

Group velocity equalisation in multimode waveguides using inverse scattering designs

In this paper, using an inverse scattering approach, we describe how the selection of mode effective indices and thus phase velocities can be used to control group velocity in a waveguide. As such it is shown that differential group delay can be equalised or minimised over a wavelength of choice. A particular feature of the new designs is the development of rings and a peaked core which may spl...

Inverse Scattering

This paper investigates the ability to determine the boundary of an unknown object scattering waves using three different scenarios. In the first, we assume all far-field data is known from the scattering of a single incident wave. In the second, we assume that there are several nodes that emit waves and receive information back about the scattered wave. In the third, there is only one node whi...

Inverse Scattering and Imaging