Abstract
This paper deals with 3D and 2D linear inverse scattering approaches based on the Born approximation, and investigates how the model dimensionality influences the imaging performance. The analysis involves dielectric objects hosted in a homogenous and isotropic medium and a multimonostatic/multifrequency measurement configuration. A theoretical study of the spatial resolution is carried out by exploiting the singular value decomposition of 3D and 2D scattering operators. Reconstruction results obtained from synthetic data generated by using a 3D full-wave electromagnetic simulator are reported to support the conclusions drawn from the analysis of resolution limits. The presented analysis corroborates that 3D and 2D inversion approaches have almost identical imaging performance, unless data are severely corrupted by the noise.
Highlights
The Role of Model Dimensionality in Microwave imaging (MWI) is a well-known non-destructive technique that aims at sensing a scene by means of interrogating electromagnetic (EM) waves in the microwave frequency band [1,2]
The fullwave electromagnetic solver GPRMAx3D [30] is exploited to generate synthetic data with transmitting dipoles radiating a Ricker wavelet centered at the frequency of 1.0 GHz
This work has dealt with MWI and the achievable performance in the frame of the Born approximation when 3D and 2D scattering models are used to describe the data
Summary
The Role of Model Dimensionality in Microwave imaging (MWI) is a well-known non-destructive technique that aims at sensing a scene by means of interrogating electromagnetic (EM) waves in the microwave frequency band [1,2]. Linear approaches account for an approximate model of the scattering phenomenon, such as the Born approximation [4] These approaches do not suffer from local minima problems and lead to computationally effective inversion procedures. They do not require accurate a priori information of the probed medium as well as of the antenna behavior, and properly work with a reduced amount of independent data, as that collected by means of a multimonostatic/multifrequency measurement configuration.
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