Numerical Analysis of Microwave Scattering from Layered Sea Ice Based on the Finite Element Method

Xu, Xu; Brekke, Camilla; Doulgeris, Anthony P.; Melandsø, Frank

doi:10.3390/rs10091332

Cited by 10 publications

(7 citation statements)

References 46 publications

(51 reference statements)

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“…At high latitudes, the properties of the scene elements change with time. Geophysical and climatological variables, such as the temperature of the medium, wind speed, rain, salinity and humidity introduce dynamic fluctuations in the scattering phenomenon [18]. For example, new ice produces specular reflections like a thin film with a smooth appearance.…”

Section: Sar Scatteringmentioning

confidence: 99%

On the Detection and Long-Term Path Visualisation of A-68 Iceberg

Lopez-Lopez

Parmiggiani²,

Moctezuma-Flores

et al. 2021

Remote Sensing

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The article presents a methodology for examining a temporal sequence of synthetic aperture radar (SAR) images, as applied to the detection of the A-68 iceberg and its drifting trajectory. Using an improved image processing scheme, the analysis covers a period of eighteen months and makes use of a set of Sentinel-1 images. A-68 iceberg calved from the Larsen C ice shelf in July 2017 and is one of the largest icebergs observed by remote sensing on record. After the calving, there was only a modest decrease in the area (about 1%) in the first six months. It has been drifting along the east coast of the Antarctic Peninsula, and is expected to continue its path for more than a decade. It is important to track the huge A-68 iceberg to retrieve information on the physics of iceberg dynamics and for maritime security reasons. Two relevant problems are addressed by the image processing scheme presented here: (a) How to achieve quasi-automatic analysis using a fuzzy logic approach to image contrast enhancement, and (b) The use of ferromagnetic concepts to define a stochastic segmentation. The Ising equation is used to model the energy function of the process, and the segmentation is the result of a stochastic minimization.

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Section: Sar Scatteringmentioning

confidence: 99%

On the Detection and Long-Term Path Visualisation of A-68 Iceberg

Lopez-Lopez

Parmiggiani²,

Moctezuma-Flores

et al. 2021

Remote Sensing

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“…Substituting (16) into (11), we obtain the differential iterative equations for the second-order conformal SPRK methods:…”

Section: Curved Conformal Grid Technologymentioning

confidence: 99%

“…At present, the forward modeling methods of GPR mainly include the finite element method (FEM) [16,17], ray tracing method [18,19], the pseudo-spectral time domain method (PSTD) [20], the fast multipole method [21], the finite difference time domain method (FDTD) [22][23][24], the alternating direction-implicit FDTD (ADI-FDTD) [25], and the symplectic Euler algorithm [26,27]. Although these methods can accurately simulate the propagation of a GPR electromagnetic wave in underground structures, these algorithms have some shortcomings with respect to efficiency and precision.…”

Section: Introductionmentioning

confidence: 99%

Analysis of GPR Wave Propagation Using CUDA‐Implemented Conformal Symplectic Partitioned Runge‐Kutta Method

2019

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Accurate forward modeling is of great significance for improving the accuracy and speed of inversion. For forward modeling of large sizes and fine structures, numerical accuracy and computational efficiency are not high, due to the stability conditions and the dense grid number. In this paper, the symplectic partitioned Runge-Kutta (SPRK) method, surface conformal technique, and graphics processor unit (GPU) acceleration technique are combined to establish a precise and efficient numerical model of electromagnetic wave propagation in complex geoelectric structures, with the goal of realizing a refined and efficient calculation of the electromagnetic response of an arbitrarily shaped underground target. The results show that the accuracy and efficiency of ground-penetrating radar (GPR) forward modeling are greatly improved when using our algorithm. This provides a theoretical basis for accurately interpreting GPR detection data and accurate and efficient forward modeling for the next step of inversion imaging.

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“…3. Штриховая линия соответствует погрешности для волны с функцией усечения Торсоса, сплошная  умноженной на 100 погрешности для волны с предложенной функцией усечения (8). Масштабирование второй зависимости выполнено для отображения обеих зависимостей на одном рисунке.…”

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Tapering the Incident Field When Solving Problems of Electromagnetic Wave Scattering Over Finite-Size Random Surfaces

Leont'ev

Borodin

2021

Izv. vysš. učebn. zaved. Ross., Radioèlektron.

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Introduction. An analysis of radio wave scattering over random surfaces frequently involves integral equations, which are solved by numerical methods. These methods are feasible only provided limited dimensions of the surface. The requirement of surface limitation leads to the appearance of edge currents, resulting in significant errors when calculating the radar cross section (RCS), particularly for grazing incident angles. The influence of edge currents is reduced by a function tapering the incident field amplitude. This function should satisfy the following requirements: to provide a low suppression of the field along the entire finite-size surface between its edges at the same time as decreasing the incident field amplitude to negligible values when approaching the edges. The incident field under the application of the tampering function should satisfy the wave equation with a minimum error. Although various tapering functions are applied for incident field amplitude (i.e. Gaussian, Thorsos, integral), none of them satisfies the aforementioned requirements.Aim. To suggest a novel function for tapering the amplitude of an electromagnetic wave incident on a perturbed finite-size surface when calculating RCS. In comparison with the known functions, the proposed function must satisfy the entire set of requirements.Materials and methods. A comparison of the proposed tapering function for incident field amplitude with the known tapering functions was performed, including the estimation of the error of satisfying the wave equation. To prove the applicability of the proposed tapering function, a mathematical modeling of the bistatic scatter diagram of a two-dimensional sea-like finite surface with a spatial Elfouhaily spectrum was carried out using Monte Carlo calculations in the Matlab environment.Results. Compared to the known tapering functions, the proposed tapering function satisfies the entire set of requirements. The results of mathematical modeling showed that the proposed function for tapering the incident field amplitude provides acceptable accuracy of estimating the RCS of finite-size random surfaces.Conclusion. A novel function for tapering the incident field amplitude was derived. This function reduces the influence of edge currents on the accuracy of RCS estimation of two-dimensional finite-size random surfaces, thus being instrumental for solving scattering problems.

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Numerical Analysis of Microwave Scattering from Layered Sea Ice Based on the Finite Element Method

Cited by 10 publications

References 46 publications

On the Detection and Long-Term Path Visualisation of A-68 Iceberg

On the Detection and Long-Term Path Visualisation of A-68 Iceberg

Analysis of GPR Wave Propagation Using CUDA‐Implemented Conformal Symplectic Partitioned Runge‐Kutta Method

Tapering the Incident Field When Solving Problems of Electromagnetic Wave Scattering Over Finite-Size Random Surfaces

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