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Waves in Random Media Volume 6, 1996 - Issue 2
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Original Articles

Non-local small-slope approximation for wave scattering from rough surfaces

A G Voronovich NOAA/ERL/Environmental Technology Laboratory/Cooperative Institute for Research in Environmental Sciences (CIRES), University of Colorado, 325 Broadway, Boulder, CO, 80303, USA
Pages 151-167 | Received 08 Jan 1996, Published online: 19 Aug 2006

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Peng Peng, Li xin Guo & Chuangming Tong. (2017) A hybrid EM scheme for the composite scattering and the SAR imaging of a low-altitude target above the electrically large and multi-scale sea surface. Electromagnetics 37:8, pages 500-512.
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José L. Álvarez-Pérez. (2012) The IEM2M rough-surface scattering model for complex-permittivity scattering media. Waves in Random and Complex Media 22:2, pages 207-233.
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Yanqiu Wang & Shira L. Broschat. (2011) The SSA+ for scattering from dielectric surfaces at very low grazing angles. Waves in Random and Complex Media 21:1, pages 57-68.
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ShiraL. Broschat & Yanqiu Wang. (2009) A practical cross-section for scattering from rough surfaces at very low grazing angles in both the forward and backward directions. Waves in Random and Complex Media 19:3, pages 430-454.
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TanosM. Elfouhaily & JoelT. Johnson. (2006) Extension of the local curvature approximation to third order and improved tilt invariance. Waves in Random and Complex Media 16:2, pages 97-119.
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Tanos Mikhael Elfouhaily & Charles-Antoine Guérin. (2004) A critical survey of approximate scattering wave theories from random rough surfaces. Waves in Random Media 14:4, pages R1-R40.
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Tanos Elfouhaily, Christophe Bourlier & Joel T Johnson. (2004) Two families of non-local scattering models and the weighted curvature approximation. Waves in Random Media 14:4, pages 563-580.
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Tanos Elfouhaily, Stephan Guignard, Ra'id Awadallah & Donald R Thompson. (2003) Local and non-local curvature approximation: a new asymptotic theory for wave scattering. Waves in Random Media 13:4, pages 321-337.
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Charles-Antoine Guérin & Marc Saillard. (2003) On the high-frequency limit of the second-order small-slope approximation. Waves in Random Media 13:2, pages 75-88.
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A G Voronovich. (2002) The effect of the modulation of Bragg scattering in small-slope approximation. Waves in Random Media 12:3, pages 341-349.
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AG Voronovich & VU Zavorotny. (2001) Theoretical model for scattering of radar signals in K - and C-bands from a rough sea surface with breaking waves. Waves in Random Media 11:3, pages 247-269.
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M. Spivack, A. Keen, J. Ogilvy & C. Sillence. (2001) Validation of left–right method for scattering by a rough surface. Journal of Modern Optics 48:6, pages 1021-1033.
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V I Tatarskii. (2000) Phase factors representation for electromagnetic scattering from arough-surface perfect conductor. Waves in Random Media 10:3, pages 339-358.
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Suzanne T McDaniel. (1999) Acoustic and radar scattering from directional seas. Waves in Random Media 9:4, pages 537-549.
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Iosif M Fuks & Alexander G Voronovich. (1999) Wave diffraction by a concave statistically rough surface. Waves in Random Media 9:4, pages 501-520.
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Tanos Elfouhaily, Donald R Thompson, Douglas Vandemark & Bertrand Chapron. (1999) A new bistatic model for electromagnetic scattering from perfectly conducting random surfaces. Waves in Random Media 9:3, pages 281-294.
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SuzanneT McDaniel. (1998) An iterative solution of the rough-surface scattering problem. Waves in Random Media 8:1, pages 3-14.
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ValerianI Tatarskii. (1997) Formulation of rough-surface scattering theory in terms of phase factors and approximate solutions based on this formulation. Waves in Random Media 7:4, pages 557-578.
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Xu Zhang & Feng Xu. (2022) Coherent Spatially Varying Bidirectional Scattering Distribution Function of Rough Surface. IEEE Transactions on Geoscience and Remote Sensing 60, pages 1-17.
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Michel Darmon, Vincent Dorval & François Baqué. (2020) Acoustic Scattering Models from Rough Surfaces: A Brief Review and Recent Advances. Applied Sciences 10:22, pages 8305.
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Peng Peng, L.X. Guo, B. Chen & Y.J. Wang. (2019) SAR imaging model of low‐flying airplane target at complex maritime scene. The Journal of Engineering 2019:19, pages 5475-5477.
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Jiyu Xue & Zhensen Wu. (2018) Analysis on the Distribution of Random Rough Surface Scattering by Monte-Carlo Method. Analysis on the Distribution of Random Rough Surface Scattering by Monte-Carlo Method.
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Shouyu Wang, Liang Xue & Keding Yan. (2017) Numerical calculation of light scattering from metal and dielectric randomly rough Gaussian surfaces using microfacet slope probability density function based method. Journal of Quantitative Spectroscopy and Radiative Transfer 196, pages 183-200.
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F. L. Teixeira, R. J. Burkholder, J. T. Johnson & C. Yardim. (2016) An efficient implementation of the nonlocal small-slope approximation for bistatic scattering from two-dimensional rough surfaces. An efficient implementation of the nonlocal small-slope approximation for bistatic scattering from two-dimensional rough surfaces.
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Juha Kainulainen, Kimmo Rautiainen, Juha Lemmetyinen, Martti T. Hallikainen, Fernando Martin-Porqueras & Manuel Martin-Neira. (2011) Detection of a Sea Surface Salinity Gradient Using Data Sets of Airborne Synthetic Aperture Radiometer HUT-2-D and a GNSS-R Instrument. IEEE Transactions on Geoscience and Remote Sensing 49:11, pages 4561-4571.
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Darrell R. Jackson, Robert I. Odom, Michael L. Boyd & Anatoliy N. Ivakin. (2010) A geoacoustic bottom interaction model (GABIM). IEEE Journal of Oceanic Engineering 35:3, pages 603-617.
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Chris H Harrison. (2010) The Influence of Propagation Focusing on Clutter Statistics. IEEE Journal of Oceanic Engineering 35:2, pages 175-184.
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Steve Pressé & Robert J. Silbey. (2008) Radiating dipoles near curved interfaces. Physical Review A 77:4.
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Tanos M. Elfouhaily & Joel T. Johnson. (2007) A New Model for Rough Surface Scattering. IEEE Transactions on Geoscience and Remote Sensing 45:7, pages 2300-2308.
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Tanos M. Elfouhaily & Joel T. Johnson. (2007) The reduced local curvature approximation for rough surface scattering. The reduced local curvature approximation for rough surface scattering.
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A. G. Voronovich. 2007. Light Scattering and Nanoscale Surface Roughness. Light Scattering and Nanoscale Surface Roughness 35 60 .
G. Engen, I. Friestad-Pedersen, H. Johnsen & T. Elfouhaily. (2006) Curvature Effects in Ocean Surface Scattering. IEEE Transactions on Antennas and Propagation 54:5, pages 1370-1379.
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T. Elfouhaily, S. Guignard & D.R. Thompson. (2004) Formal Tilt Invariance of the Nonlocal Curvature Approximation and Its Connection to the Integral Equation Method. IEEE Geoscience and Remote Sensing Letters 1:2, pages 51-56.
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Taiqian Yang, S.L. Broschat & C. Galea. (2002) A comparison of perturbation theory and the small-slope approximation for acoustic scattering from a rough interface for a Biot medium. IEEE Journal of Oceanic Engineering 27:3, pages 403-412.
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Hyunjun Kim & J.T. Johnson. (2002) Radar images of rough surface scattering: comparison of numerical and analytical models. IEEE Transactions on Antennas and Propagation 50:2, pages 94-100.
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N. M. Makarov & Yu. V. Tarasov. (2001) Electron localization in narrow surface-corrugated conducting channels: Manifestation of competing scattering mechanisms. Physical Review B 64:23.
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Hyunjun Kim & Joel T. Johnson. (2001) Radar image studies of an ocean‐like surface. Microwave and Optical Technology Letters 30:6, pages 381-384.
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I.M. Fuks. (2001) Wave diffraction by a rough boundary of an arbitrary plane-layered medium. IEEE Transactions on Antennas and Propagation 49:4, pages 630-639.
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SUZANNE T. McDANIEL. (2011) A NUMERICAL STUDY OF ROUGH-SURFACE SCATTER. Journal of Computational Acoustics 08:03, pages 443-458.
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Guillaume Bal & Leonid Ryzhik. (2000) Diffusion Approximation of Radiative Transfer Problems with Interfaces. SIAM Journal on Applied Mathematics 60:6, pages 1887-1912.
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J.J. EMBRECHTS. (2000) SIMULATION OF FIRST AND SECOND ORDER SCATTERING BY ROUGH SURFACES WITH A SOUND RAY FORMALISM. Journal of Sound and Vibration 229:1, pages 65-87.
Crossref
Simon N. Chandler–Wilde, Chris R. Ross & Bo Zhang. (1999) Scattering by infinite one-dimensional rough surfaces. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 455:1990, pages 3767-3787.
Crossref
S.L. Broschat. (1999) Reflection loss from a "Pierson-Moskowitz" sea surface using the nonlocal small slope approximation. IEEE Transactions on Geoscience and Remote Sensing 37:1, pages 632-634.
Crossref
Suzanne T McDaniel. (1998) Waves in Random Media 8:1, pages 3-14.
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A.G. Yarovoy. (1996) Small-slope iteration technique for wave scattering from a rough interface of two media. IEEE Transactions on Antennas and Propagation 44:11, pages 1433-1437.
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V.I. Tatarskii & S.F. Clifford. (1995) On the theory of Δk radar observations of ocean surface waves. IEEE Transactions on Antennas and Propagation 43:8, pages 843-850.
Crossref
V.G. Irisov. (1994) Small slope approximation for microwave polarimetric observation of the sea surface. Small slope approximation for microwave polarimetric observation of the sea surface.
S.L. Broschat. (1993) The small slope approximation reflection coefficient for scattering from a "Pierson-Moskowitz" sea surface. IEEE Transactions on Geoscience and Remote Sensing 31:5, pages 1112-1114.
Crossref
S.L. Broschat. (1993) The phase perturbation approximation for rough surface scattering from a Pierson-Moskowitz sea surface. IEEE Transactions on Geoscience and Remote Sensing 31:1, pages 278-283.
Crossref
T. Yang & S.L. Broschat. (1992) A comparison of scattering model results for two-dimensional randomly rough surfaces. IEEE Transactions on Antennas and Propagation 40:12, pages 1505-1512.
Crossref

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