Reconstruction of Objects Buried in Layered Media Based on an Equivalent Current Source

Abstract

Abstract-In this paper, a novel algorithm based on an equivalent current source is proposed to reconstruct objects buried in a multilayered medium. First, a radiating current source, one part of the equivalent current source, is obtained directly in closed-form from scattering data via the signalsubspace method. Secondly, a nonradiating current source, the other part of the equivalent current source, is represented with the linear superposition of vectors in the noise-subspace. Finally, the objects and equivalent current source are reconstructed efficiently by solving an optimization problem in a lower dimensional linear space with the conjugate gradient (CG) method. To test the new method, the effects of the frequency of incident wave, array aperture size, and SNR are studied in detail. Numerical results show that the proposed method has a high capacity to reconstruct objects buried in a multilayered medium.

Reconstruction of Two-Dimensional Objects Buried Into Three-Part Space With Locally Rough Interfaces via Distorted Born Iterative Method

“…However, if the object is embedded in a layered media, there is no possibility to approach the object and measure the scattered field at any point around it. In this case, the scattered field can only be measured in the top space, so the available data will be insufficient [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. It is clear that the situation will worsen as the number of layers increases.…”

“…The main difference of this study from the existing ones in the literature is that it deals with a much more complicated problem geometrically. In most of the studies in the literature, objects to be identified reside in a homogeneous media [1][2][3][4][5][6][7][8][9][25][26][27][28][29][30][31][32][33], layered media with planar interfaces [10][11][12][13][14][15][16][17] or under slightly rough surfaces [18][19][20]. In contrast, the present study deals with a rather complex problem of reconstructing 2D objects embedded in a three-part space with rough interfaces.…”