GPR Wave Scattering From Complex Objects Using the Semi-Analytic Mode Matching Algorithm: Coordinate Scattering Center Selection

Morgenthaler, Ann W.; Rappaport, Carey M.

doi:10.1109/tgrs.2010.2095862

Cited by 8 publications

(8 citation statements)

References 17 publications

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“…In this case, we may assume a specular reflection from the plane. Even if an electromagnetic wave is incident on a slightly rough surface, we may assume that the wave is scattered from a scattering centre that lies on the plane surface (Ebihara et al 2000;Morgenthaler and Rappaport 2011). In this case, it is possible to estimate the 3D position of the scattering centre and the inclination around the scattering centre, assuming the surface to be a small plane surrounding the scattering centre.…”

Section: Introductionmentioning

confidence: 99%

Estimating the 3D position and inclination of a planar interface with a directional borehole radar

Ebihara

Kawai

Wada³

2012

Near Surface Geophysics

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In this paper, we present a signal processing method suitable for estimating the position of a planar interface and its inclination using a directional borehole radar. The receiving directive antenna in a radar system is a coaxial‐fed circular dipole array antenna in a borehole (CFCAB), which we have proposed previously. The method combines least‐square fitting with a model of plane‐wave incidence and uses an inverse boundary scattering transform. This approach makes it possible to estimate parameters from measurements collected at only two narrowly separated depths of a radar sonde. We give a numerical example to verify the proposed method. In this simulation, the array data were generated with the Method of Moments modified for a borehole radar. We conducted field experiments in the Nakatatsu mine in Japan, where there is a fault in the skarn. We constructed a 3D image of the fault with a directional borehole radar and the signal processing method. The image agrees well with the information obtained from boring core samples and observations in the gallery.

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Section: Introductionmentioning

confidence: 99%

Estimating the 3D position and inclination of a planar interface with a directional borehole radar

Ebihara

Kawai

Wada³

2012

Near Surface Geophysics

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“…Singular value decomposition (SVD) is used to minimize the linear equation |F · c -b|, where c is a vector of unknown mode coefficients, b is vector which describes the mismatch in each boundary condition at each fitting point along every interface in the modeled region, and F is the dense, nonsquare matrix which relates them. The key to the SAMM algorithm is choosing the locations of the multiple coordinate systems about which sets of modes are expanded, and a method using the radii of curvature (ROC) associated with the scatterer fitting points is described in [2] for single targets in uniform backgrounds. In this paper, we shall describe how to extend this procedure to more complex shapes as well as demonstrate how a complex scattering problem may be broken into smaller, simpler pieces and the resulting approximate scattering fields combined to form a "start" for the full simulation.…”

Section: Introductionmentioning

confidence: 99%

The Semi-Analytic Mode Matching algorithm for GPR wave scattering from multiple complex objects buried in a dielectric half space

Morgenthaler

Rappaport

2010

2010 IEEE International Geoscience and Remote Sensing Symposium

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The Semi-Analytic Mode Matching (SAMM) algorithm is a quick and efficient computational method that can model wave scattering from multiple objects in half spaces. This algorithm relies heavily on the appropriate choice of coordinate scattering centers (CSCs) for its modal expansions. Here, the radius of curvature method of finding CSCs is extended to "tune" the CSC loci. Because the CSC locations are essentially frequency independent and independent of the dielectric contrast between scatterer and background, it is worthwhile to analyze carefully particular scattering object shapes and store the optimal CSC locations for future use. Scattering from multiple targets buried within half spaces can be constructed from simpler simulations of the individual targets taken independently in uniform media -combining these initial simulations correctly can greatly reduce overall computational time and increase robustness in full simulations. Excellent results are found comparing SAMM and Finite Difference Frequency Domain (FDFD) for multiple 2D scattering objects 0.1 -15 wavelengths in size located beneath half spaces.

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“…The SAMM algorithm, first described in [5], is combined with the radius of curvature (ROC) method of determining the appropriate coordinate scattering centers (CSCs) for irregularly shaped 2-D scattering objects, described in [6], and applied Manuscript to the subsurface scattering application. SAMM uses multiple modal expansions across a collection of CSCs and matches all boundary conditions at discrete fitting points along each material boundary.…”

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confidence: 99%

“…(b) Close-up of (black circles) ROCs for a squiggle target. (c) Close-up of ROCs for a plus sign target, as described in [6]. overconstrained matrix with more rows (boundary conditions) than columns (modes), singular value decomposition is used to minimize |F · c − b| to find the optimal value of c. The key to the SAMM algorithm is successfully choosing the locations of the multiple CSCs about which sets of modes are expanded.…”

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The Semianalytic Mode Matching Algorithm for GPR Wave Scattering From Multiple Complex Objects Buried in a Rough Lossy Dielectric Half-Space

Morgenthaler

Rappaport

2011

IEEE Trans. Geosci. Remote Sensing

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The semianalytic mode matching (SAMM) algorithm is a quick and efficient computational method that models wave scattering from multiple objects in half-spaces. This algorithm relies heavily on appropriate choices of coordinate scattering centers (CSCs) for various modal expansions. Here, SAMM is used to simulate scattering from irregularly shaped 2-D lossy objects embedded in realistic half-space media with rough ground surfaces. Because the CSC locations for complex scatterers are much more dependent on object or interface geometry than frequency and are independent of the dielectric contrast between scatterer and background, it is worthwhile to carefully analyze particular scattering object shapes and store the optimal CSC locations for future use. In addition, scattering from multiple targets buried beneath rough ground surfaces can be constructed from simpler simulations of the individual targets taken separately, where combining these simpler simulations correctly can increase robustness in large SAMM simulations. Excellent results are found by comparing 2-D SAMM with 2-D finite-difference frequency domain for multiple scattering objects on the order of a fraction to several wavelengths in size located within rough half-space dielectric backgrounds.

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GPR Wave Scattering From Complex Objects Using the Semi-Analytic Mode Matching Algorithm: Coordinate Scattering Center Selection

Cited by 8 publications

References 17 publications

Estimating the 3D position and inclination of a planar interface with a directional borehole radar

Estimating the 3D position and inclination of a planar interface with a directional borehole radar

The Semi-Analytic Mode Matching algorithm for GPR wave scattering from multiple complex objects buried in a dielectric half space

The Semianalytic Mode Matching Algorithm for GPR Wave Scattering From Multiple Complex Objects Buried in a Rough Lossy Dielectric Half-Space

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