A Method for Extracting Incident Wave Information from Measurement Data Mixed with Interfering Waves

Abstract

Solving the inverse scattering problem of determining the position, shape, and electrical parameter distributions of a target object requires information not only on the scattered waves but also on the incident waves. Almost all inverse scattering methods assume that the incident wave is known on the observation curve and in the estimation region that includes the object. However, it is sometimes difficult to remove the object and measure the incident wave. To address this situation, a method to estimate the incident field from the total electromagnetic field data (the sum of incident and scattered wave fields) measured on the observation circle has been proposed in recent years. In measurements outside an anechoic chamber, the incident wave to an object is a composite of the electromagnetic wave to probe the object and the unwanted electromagnetic wave from mobile phones and other sources. In this paper, we apply this method to the extraction of incident wave information from total electromagnetic field data measured on the observation circle in the presence of unwanted electromagnetic waves, and also propose a method to extract incident wave information from total electric field data alone. The influence of noise will also be discussed.