Electromagnetic subsurface prospecting by a multifocusing inexact Newton method within the second-order Born approximation

Marco Salucci; Giacomo Oliveri; Andrea Randazzo; Matteo Pastorino; Andrea Massa

doi:10.1364/JOSAA.31.001167

Journal of the Optical Society of America A
Vol. 31,
Issue 6,
pp. 1167-1179
(2014)
•https://doi.org/10.1364/JOSAA.31.001167

Electromagnetic subsurface prospecting by a multifocusing inexact Newton method within the second-order Born approximation

Marco Salucci, Giacomo Oliveri, Andrea Randazzo, Matteo Pastorino, and Andrea Massa

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Marco Salucci, Giacomo Oliveri, Andrea Randazzo, Matteo Pastorino, and Andrea Massa, "Electromagnetic subsurface prospecting by a multifocusing inexact Newton method within the second-order Born approximation," J. Opt. Soc. Am. A 31, 1167-1179 (2014)

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Abstract

In this paper the reconstruction of a shallow buried object is addressed by an electromagnetic inverse scattering method based on combining different imaging modalities. In particular, the proposed approach integrates the inexact Newton (IN) method with an iterative multiscaling approach. Moreover, the use of the second-order Born approximation is exploited. A numerical validation is provided concerning the potentialities arising by combining the regularization capabilities of the IN method and the effectiveness of the multifocusing strategy to mitigate the nonlinearity and ill-posedness of the inversion problem. Comparisons with the standard “bare” approach in terms of accuracy, robustness, noise levels, and computational efficiency are also included.

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Equations (19)

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SNR dB	$τ = 0.2$	$τ = 0.6$	$τ = 1.0$	$τ = 1.4$	$τ = 1.8$	$τ = 2.2$
BARE-IN-SOBA
30	$1.98 \times 10^{- 2}$	$5.68 \times 10^{- 2}$	$9.18 \times 10^{- 2}$	$1.22 \times 10^{- 1}$	$1.56 \times 10^{- 1}$	$1.92 \times 10^{- 1}$
20	$2.20 \times 10^{- 2}$	$6.12 \times 10^{- 2}$	$9.79 \times 10^{- 2}$	$1.37 \times 10^{- 1}$	$1.74 \times 10^{- 1}$	$2.14 \times 10^{- 1}$
10	$3.52 \times 10^{- 2}$	$8.74 \times 10^{- 2}$	$8.87 \times 10^{- 2}$	$2.01 \times 10^{- 1}$	$2.69 \times 10^{- 1}$	$3.15 \times 10^{- 1}$
IMSA-IN-SOBA
30	$1.18 \times 10^{- 2}$	$3.59 \times 10^{- 2}$	$5.63 \times 10^{- 2}$	$6.24 \times 10^{- 2}$	$8.03 \times 10^{- 2}$	$9.06 \times 10^{- 2}$
20	$1.29 \times 10^{- 2}$	$2.72 \times 10^{- 2}$	$3.64 \times 10^{- 2}$	$4.88 \times 10^{- 2}$	$5.20 \times 10^{- 2}$	$4.42 \times 10^{- 2}$
10	$1.28 \times 10^{- 2}$	$3.95 \times 10^{- 2}$	$8.26 \times 10^{- 2}$	$9.21 \times 10^{- 2}$	$1.15 \times 10^{- 1}$	$1.54 \times 10^{- 1}$

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Equations (19)

Journal of the Optical Society of America A