Open AccessFar-field to Near-field Data Relations for the Inverse Electromagnetic Scattering Problem
Author(s) -
Arnold Abramov,
Yutao Yue
Publication year - 2021
Publication title -
asian journal of research and reviews in physics
Language(s) - English
Resource type - Journals
ISSN - 2582-5992
DOI - 10.9734/ajr2p/2021/v4i330144
Subject(s) - inverse scattering problem , scattering , inverse problem , electromagnetic field , field (mathematics) , near and far field , mathematical analysis , computational electromagnetics , electromagnetic wave equation , inverse scattering transform , cylinder , physics , mathematics , optics , optical field , geometry , pure mathematics , quantum mechanics
This paper considers (in general form) the problem of recovering information (size and material parameters) about the scattering object from far-field measurements. The order of solution and functions of each equation for the fields inside and outside the scattering object are discussed. Using well-known mathematical theorems, a simple equation has been derived that connects the far-field data on one side to the near-field data on the other side. Consequently, this equation has been used in an optimization procedure to find the parameters of the dielectric cylinder.