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Waves in Random Media Volume 8, 1998 - Issue 4
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Original Articles

Theoretical and computational aspects of scattering from rough surfaces: one-dimensional perfectly reflecting surfaces

J Desanto Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO, 80401-1887, USA
,
G Erdmann Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO, 80401-1887, USA
,
W Hereman Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO, 80401-1887, USA
&
M Misra Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO, 80401-1887, USA
Pages 385-414 | Received 05 Jan 1998, Published online: 19 Aug 2006

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Read on this site (3)

J Desanto, G Erdmann, W Hereman, B Krause, M Misra & E Swim. (2001) Theoretical and computational aspects of scattering from periodic surfaces: two-dimensional transmission surfaces using the spectral-coordinate method. Waves in Random Media 11:4, pages 489-526.
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J Desanto, G Erdmann, W Hereman, B Krause, M Misra & E Swim. (2001) Theoretical and computational aspects of scattering from periodic surfaces: two-dimensional perfectly reflecting surfaces using the spectral-coordinate method. Waves in Random Media 11:4, pages 455-487.
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J Desanto, G Erdmann, W Hereman & M Misra. (2001) Theoretical and computational aspects of scattering from periodic surfaces: one-dimensional transmission interface. Waves in Random Media 11:4, pages 425-453.
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Articles from other publishers (25)

Oscar P. Bruno & Martín Maas. (2019) Shifted equivalent sources and FFT acceleration for periodic scattering problems, including Wood anomalies. Journal of Computational Physics 378, pages 548-572.
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Yasuhiko TAMURA. (2018) A Fast Computation Technique on the Method of Image Green's Function by a Spectral Domain Periodicity. IEICE Transactions on Electronics E101.C:1, pages 56-64.
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David P. Nicholls & Venu Tammali. (2016) A high-order perturbation of surfaces (HOPS) approach to Fokas integral equations: Vector electromagnetic scattering by periodic crossed gratings. Applied Numerical Mathematics 101, pages 1-17.
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Yasuhiko TAMURA. (2016) TE Plane Wave Scattering from Periodic Rough Surfaces with Perfect Conductivity: Image Integral Equation of the First Type. IEICE Transactions on Electronics E99.C:2, pages 266-274.
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P. Hashemzadeh, A. S. Fokas & S. A. Smitheman. (2015) A numerical technique for linear elliptic partial differential equations in polygonal domains. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471:2175, pages 20140747.
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Lin Li & Wen Chao Zheng. (2014) Electromagnetic Scattering from Perfectly Conducting Periodic Rough Surfaces Using Improved Complex Images Method. Advanced Materials Research 989-994, pages 3777-3781.
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Oscar P. Bruno & Bérangère Delourme. (2014) Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum—including Wood anomalies. Journal of Computational Physics 262, pages 262-290.
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Gang Bao, Peijun Li & Junliang Lv. (2013) Numerical solution of an inverse diffraction grating problem from phaseless data. Journal of the Optical Society of America A 30:3, pages 293.
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Junichi NAKAYAMA & Yasuhiko TAMURA. (2013) Method of Image Green's Function in Grating Theory: Reflection Extinction Theorem. IEICE Transactions on Electronics E96.C:1, pages 51-54.
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Albert Fannjiang & Hsiao-Chieh Tseng. (2012) Compressive imaging of subwavelength structures: periodic rough surfaces. Journal of the Optical Society of America A 29:4, pages 617.
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Junichi NAKAYAMA & Yasuhiko TAMURA. (2012) Method of Image Green's Function in Grating Theory. IEICE Transactions on Electronics E95-C:1, pages 93-96.
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Junichi NAKAYAMA & Yasuhiko TAMURA. (2012) Method of Image Green's Function in Grating Theory: TE Wave Case. IEICE Transactions on Electronics E95.C:6, pages 1117-1120.
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Simon Tournier, Pierre Borderies & Jean-René Poirier. (2011) Integral Equations Physically-Based Preconditioner for Two-Dimensional Electromagnetic Scattering by Rough Surfaces. IEEE Transactions on Antennas and Propagation 59:10, pages 3764-3771.
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Oscar P. Bruno & Michael C. Haslam. (2009) Efficient high-order evaluation of scattering by periodic surfaces: deep gratings, high frequencies, and glancing incidences. Journal of the Optical Society of America A 26:3, pages 658.
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Alexander G. Voronovich. 2007. Light Scattering and Nanoscale Surface Roughness. Light Scattering and Nanoscale Surface Roughness 93 105 .
Aya Kashihara & Junichi Nakayama. (2006) Scattering of TM plane wave from a finite periodic surface. Electronics and Communications in Japan (Part II: Electronics) 89:3, pages 10-19.
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Daniel W Nkemzi & Prabasaj Paul. (2005) Padé approximants for the scattering amplitude in scattering from rough surfaces. Journal of Optics A: Pure and Applied Optics 7:10, pages 529-534.
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J.C. West. (2003) On the control of edge diffraction in numerical rough surface scattering using resistive tapering. IEEE Transactions on Antennas and Propagation 51:11, pages 3180-3183.
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Tilo Arens & Andreas Kirsch. (2003) The factorization method in inverse scattering from periodic structures. Inverse Problems 19:5, pages 1195-1211.
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F Hettlich. (2002) Iterative regularization schemes in inverse scattering by periodic structures. Inverse Problems 18:3, pages 701-714.
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K. V. Horoshenkov & Simon N. Chandler-Wilde. (2002) Efficient calculation of two-dimensional periodic and waveguide acoustic Green’s functions. The Journal of the Acoustical Society of America 111:4, pages 1610-1622.
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J. A. DeSanto. 2002. Scattering. Scattering 15 36 .
Zhongqiang Xie, Chi-Hou Chan & Bo Zhang. (2002) An Explicit Fourth-Order Orthogonal Curvilinear Staggered-Grid FDTD Method for Maxwell's Equations. Journal of Computational Physics 175:2, pages 739-763.
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J. DeSanto, G. Erdmann, W. Hereman & M. Misra. (2001) Application of wavelet transforms for solving integral equations that arise in rough-surface scattering. IEEE Antennas and Propagation Magazine 43:6, pages 55-62.
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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.
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