Microwave Imaging Within the Interval Analysis Framework

Abstract

Abstract-An approach based on the use of the arithmetic of intervals and Interval Analysis for the solution of inverse scattering problems is presented and assessed. By exploiting the property of the Interval Analysis to find the global minimum of a functional in a n-dimensional space, the proposed approach adopts a branch and bound process to discard the regions of the solutions space not containing the global solution, while keeping those where a feasible solution is expected until a suitable converge criterion is reached. A representative set of results concerned with the reconstruction of circular dielectric objects within the first-order Born approximation are reported and discussed to show potentialities and current limitations of the proposed approach.

Analysis of power pattern in CLAS with the material thickness and properties error through interval arithmetic

“…Since, the incident angle 0 ≤ γ < π/2, for both Z ∞ = cos γ for horizontal polarisation and Z ∞ = 1/cos γ for vertical polarisation, then Z ∞ > 0. We have (see (16)…”

“…It is worth noting that interval analysis (IA) has been applied to inverse scattering problems existing in the EM field [16]. Anselmi predicted the impact of the manufacturing tolerance of linear antenna arrays excitation amplitudes and phase errors on radiation pattern based on interval arithmetic computing [17,18].…”

Interval-based tolerance analysis with localized surface errors in parabolic reflectors

“…This is guaranteed by the Inclusion Property of IA [7,8,13] , allows to have an angular information about the worst performance (i.e., the maximum deviation with respect to the nominal pattern) of the actual antenna pattern.…”

Far‐Field Pattern Tolerance Analysis of Reflector Antenna with Random or System Error Based on Interval Arithmetic

“…As a non-deterministic approach, interval arithmetic has been introduced in electromagnetic design by Saxena [15] . Rocca applied Interval analysis (IA) to the solution of electromagnetic inverse scattering problems for the first time, and pointed out that IA can play a key role in such a pixel-based inversion and intractable highdimensional problem [16] . Anselmi predicted the impact of the manufacturing tolerance of the excitation amplitudes of linear antenna arrays on radiation pattern by interval arithmetic [17] , and the IA of phase error is researched by Ploi [18] .…”