Rigorous solutions for electromagnetic scattering from rough surfaces

Waves Random Media

Volumn 11, Issue 3, 2001, Pages 103-137

  Saillard, M ^a   Sentenac, A ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; FINITE DIFFERENCE METHOD; GRADIENT METHODS; IMAGING TECHNIQUES; LIGHT; MATRIX ALGEBRA; MAXWELL EQUATIONS; NONDESTRUCTIVE EXAMINATION; REMOTE SENSING; STATISTICAL MECHANICS; SURFACE ROUGHNESS; TIME DOMAIN ANALYSIS;

BEAM SUPERPOSITION;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0035394370     PISSN: 09597174     EISSN: 13616676     Source Type: Journal    
DOI: 10.1080/13616670109409779     Document Type: Article

References (86)

1. Beckmann P and Spizzichino A 1963 The Scattering Of Electromagnetic Aves From Rough Surfaces (Oxford: Pergamon)
2. Bass F G and Fuks I M 1979 Ina E Scattering From Statistically Rough Surfaces (New York: Pergamon)
3. Ogilvy J A 1991 Theory Of lave Scattering From Random Rough Surfaces (Bristol: Hilger)
4. Voronovich G 1994 Ina E Scattering From Rough Surfaces (Berlin: Springer)
5. Tsang L, Kong J A and Shin T 1985 Theory Of Microwave Remote Sensing (New York: Wiley)
6. Mandell and Wolfe 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press)
7. Dainty I C (Ed) 1915 Iaser Speckle and Related Phenomena Topics In Applied Physics (New York: Springer)
8. Daillant I and Gibaud A (Ed) 1999 Xray and Neutron Reflectivity: Principles and Applications (Lecture Notes In Physics) (Berlin: Springer)
9. Greffet N and Carrninati R 1997 Image Formation In Near-Field Optics Pro G. Surf. Sci. 56 133-237
10. Saillard M and Maystre D 1990 Scattering From Metallic and Dielectric Rough Surfaces J. Opt. Soc. Am. A 7 982-90
11. Saillard M and Maystre D 1988 Scattering From Random Rough Surfaces: A Beam Simulation Method J. Opt. 19 173-6
12. Guerin C A, Holschneider M and Saillard M 1997 Electromagnetic Scattering From Multi-Scale Rough Surfaces Mn·Es Random Media 7 331-49
13. Sinha S K, Sirota E B and Garoff S 1988 X-Ray and Neutron Scattering From Rough Surfaces Phys. Rev. B 38 2297-311
14. Fung A K (Ed) 1994 Microwm·E Scattering and Emission Models and Their Applications (Boston, L\Ia: Artech House)
15. Soto-Crespo J M, Nieto-Vesperinas M and Fridberg AT 1990 Scattering From Slightly Rough Random Surfaces: A Detailed Study On The Validity Of The Small Perturbation Method J. Opt. Soc. Am. A 7 1185-201
16. Rodriguez E and Kim Y A 1992 Unified Perturbation Expansion For Surface Scattering Radio Sci. 27 79-93
17. Winebrenner D and Ishimaru A 1985 Application Of The Phase-Perturbation Technique To Randomly Rough Surfaces J. Opt. Soc. Am. A 2 2285-94
18. Ishimaru A and Chen J S 1991 Scattering From Very Rough Metallic and Dielectric Surfaces: A Theory Based On The Modified Kirchhoff Approximation Ltanes Random Media 1 21-34
19. Smith S 1996 The Operator Expansion Formalism For Electromagnetic Scattering From Rough Dielectric Surfaces Radio Sci. 31 1377-85
20. Tang K, Dimenna Rand Buckius R 1997 Regions Ohalidity Of The Geometric Optics Approximation For Angular Scattering From Very Rough Surfaces Int. Heat J. Mass Transfer 40 49-59
21. Calvo O, Sentenac A and Greffet J-J 1999 Light Scattering By A Two-Dimensionnal Rough Penetrable Medium: A Mean Field Theory Radio Sci. 34 311-35
22. Ott R 1997 A Line Of Sight Propagation Model For Calculating Atmospheric, Sea Terrain Multi Path and Clutter At Microwave Frequencies Radio Sci. 32 369-86
23. Maradudin A A, Michel T, Mcgurn A R and Mendez E R 1990 Enhanced Backscattering Of Light From A Random Grating Ami. Phys. Ny 203 255-307
24. Soto-Crespo J M, Nieto-Vesperinas M and Fridberg AT 1989 Electromagnetic Scattering From Very Rough Random Surfaces and Deep Reflection Gratings J. Opt. Soc. Am. A 6 367-85
25. Desanto J A and Martin P A 1997 On The Derivation Of Boundary Integral Equations For Scattering By An Infinite One-Dimensional Rough Surface J. Acoust. Soc. Am. A 102 67-77
26. Chandler-Wilde S, Ross C and Zhang B 2000 Scattering By Infinite One-Dimensional Rough Surfaces Proc. R. Soc. A 455 3767-87
27. Chandler-Wilde S and Zhang B 1998 A Uniqueness Result For Scattering By Infinite Rough Surfaces Siam J. Appl. Math. 58 1774-90
28. Chandler-Wilde S and Zhang B· 1999 Scattering Of Electromagnetic Waves By Rough Interfaces and Inhomogeneous Layers Siam. J. Math. Anal. 3 559-83
29. Rino C L and Ngo H D 1994 Application Of Beam Simulation To Scattering At Low Grazing Angles: Oceanlike Surfaces Radio Sci. 29 1381-91
30. Cadilhac M and Petit R 1992 On The Diffraction Problem In Electromagnetic Theory: A Discussion Based On Concepts Of Functional Analysis Including An Example Of Practical Application Proc. Huygens Principles 1690-1990: Theory and Application Ed H Blok, M A Ferwende and H K Kinker (Amsterdam: Elsevier) Pp 249-72
31. Tayeb G 1994 The Method Of Fictitious Sources Applied To Diffraction Gratings Appl. Comput. Electromagn. Soc. J. 9 90-100
32. Boag A, Leviatan Y and Boag A 1993 Analysis Of Electromagnetic Scattering From Doubly-Periodic Non Planar Surfaces Using A Patch-Current Model of Trans. Antennas Propagat. 41 732-8
33. Hafner C 1995 Multiple Multipole Program Computation Of Periodic Structures J. Opt. Soc. Am. A 12 1057-67
34. Leviatan Y and Boag A 1987 Analysis Of Electromagnetic Scattering From Dielectric Cylinders Using A Multifilament Current Model Ieee Trans. Antennas Propagat. 35 1119-27
35. Waterman PC 1975 Scattering By Periodic Surfaces J. Acoust. Soc. Am 57 791-802
36. Maystre D, Saillard M and Ingers J 1991 Scattering By One Or Two-Dimensional Randomly Rough Surfaces Naves Random Media 3 143-55
37. Desanto J A 1985 Exact Spectral Formalism For Rough Surface Scattering J. Opt. Soc. Am. A 2 2202-6
38. Bagieu M and Maystre D 1999 Regularized Waterman and Rayleigh Methods: Extension To Two-Dimensional Gratings J. Opt. Soc. Am. A 16 284-92
39. Bagieu M and Maystre D 1998 Waterman and Rayleigh Methods For Diffraction Problems: Extension Of The Converegence Domain J. Opt. Soc. Am A 15 1566-76
40. Colton D and Kress R 1983 Integral Equation Method On Scattering Theory Pure and Applied Mathematics (New York: Wiley)
41. Martin P A and Ola P 1993 Boundary Integral Equations For The Scattering Of Electromagnetic Waves By A Homogeneous Dielectric Obstacle Proc. R. Soc. Edin. A 123 185-208
42. Pak K P, Tsang L, Chan C H and Johnson J 1995 Backscattering Enhancement Of Electromagnetic Waves From Two-Dimensional Perfectly Conducting Random Rough Surfaces Based On Monte-Carlo Simulations J. Opt. Soc. Am. A 12 2491-9
43. Wagner R L, Song J and Chew W C 1997 Monte-Carlo Simulation Of Electromagnetic Scattering From Twodimensional Random Rough Surfaces Ieee Trans. Antennas Propagat. 45 235-45
44. C W C and L J H 1995 A Frequency-Hopping Approach For Microwave Imaging Of Large Inhomogeneous Bodies Ieee Microwaie Guided Wale Lett. 5 439-41
45. Yee K S 1966 Numerical Solution Of Initial Boundary Value Problems Involving Maxwell'S Equations In Isotropic Media Ieee Trans. Antennas Propagat. 4 302-7
46. Berenger J P 1994 A Perfectly Matched Layer For The Absorption Of Electromagnetic Waves J. Comput. Phys. 114 185-200
47. Hastings F D, Schneider J B and Broschat S L 1995 A Monte-Carlo Fdtd Technique For Rough Surface Scattering Ieee Trans. Antennas Propagat. 43 1183-91
48. Jurgens T G, Taftove A, Umashankar K and Moore T G 1992 Finite-Difference Time-Domain Modeling Of Curved Surfaces Ieee Trans. Antennas Propagat. 40 357-66
49. Yee K S, Ingham D and Schlager K 1991 Inme-Domain Extrapolation To The Far-Field Based On Fdtd Calculations Ieee Trans. Antennas Propagat. 39 410-3
50. Fung A K, Shah M R and Tjuatja S 1994 Numerical Simulation Of Scattering From Three-Dimensional Randomly Rough Surfaces Ieee Trans. Geosci. Remote Sensing 32 986-94
51. Vincent P 1978 A Finite-Difference Method For Dielecuic and Conducting Crossed Gratings Opt. Commun. 26 293-6
52. Li L 1996 Formulation and Comparison Of Two Recursive Mauix Algorithms For Modeling Layered Diffraction Gratings J. Opt. Soc. Anl A 13 1024-35
53. Neviere M and Montiel F 1994 Differential Theory Of Gratings: Extension To Deep Gratings Of Arbitrary Profile and Permittivity Through The R-Mauix Propagation Algorithm J. Opt. Soc. Am. A 11 3241-50
54. Giovannini H, Saillard M and Sentenac A 1998 Numerical Study Of Scattering From Rough Inhomogeneous Films J. Opt. Soc. Am. A 15 1182-91
55. Li L 1996 Use Of Fourier Series In The Analysis Of Discontinuous Periodic Structures J. Opt. Soc. Am. A 13 1870-6
56. Li L 1997 New Formulation Of The Fourier Modal Method For Crossed Surface-Relief Gratings J. Opt. Soc. Am. A 14 2758-67
57. Soriano G and Saillard M 2001 Scattering Of Electromagneuic Waves From Two-Dimensional Rough Surfaces With Impedance Approximation J. Opt. Soc. Anl A
58. Jandhyala V, Shanker B, Michielssen E and Chew W C 1998 Fast Algorithm For The Analysis Of Scattering By Dielecuic Rough Surfaces J. Opt. Soc. Anl A 15 1877-85
59. Rokhlin V 1990 Rapid Solution Of Integral Equations Of Scattering Theory In Two Dimensions J. Comput. Phys. 36414-39
60. Marvin AM and Celli V 1994 Relation Between The Surface Impedance and The Extinction Theorem On A Rough Surface Phys. Rev. B 50 14546-53
61. Maystre D and Rossi J P 1986 Implementation Of A Rigorous Vector Theory Of Speckle For Two-Dimensional Microrough Surfaces J. Opt. Soc. Am. A 3 1276-82
62. Pak K, Tsang Land Johnson J 1997 Numerical Simulations and Backscattering Enhancement Of Electromagnetic Waves From Two-Dimensional Dielectric Random Rough Surfaces With The Sparce-Mauix Canonical Method J. Opt. Soc. Am. A 14 1515-29
63. Rokhlin V 1993 Diagonal Forms Of Translation Operators For The Helmholtz Equation Appl. Comput. Harmonic Anal. 182-93
64. Kapp D A and Brown G 1996 A New Numerical Method For Rough Surface Scattering Calculations Ieee Trans. Antennas Propagat. 44 711-21.
65. Tran P 1997 Calculation Of The Scattering Of Electromagnetic Waves From A Two-Dimensional Perfectly Conducting Surface Using The Method Of Ordered Multiple Interaction Movies Random Media 7 295-302
66. Johnson J T, Tsang L, Shin R T, Pak K, Chan C H, Ishimaru A and Kuga Y 1996 Backscattering Enhancement Of Electromagnetic Waves From Two-Dimensional Perfectly Conducting Random Rough Surfaces: A Comparison Of Monte Carlo Simulations With Experimental Data Ieee Trans. Alltennas Propagat. 44 748-56
67. Brown G (Ed) 1998 Special Issue On Low-Grazing Angle Backscatter From Rough Surfaces Ieee Trans. Antennas Propag. 46
68. Chew W C, El-Shenawee M, Jandhyala V and Michielssen E 1999 Scattering At Low Grazing Angle From Large Two Dimensional Random Rough Surfaces Using The Steepest Descent Fast Multipole Method (Sdfmm) Proc. 26th General Assembly Of Ursi (Toronto) P 195
69. Maradudin A A and Mendez E R 1993 Enhanced Backscattering Of Light From Weakly Rough Random Metal Surfaces Appl. Opt. 32 3335-43
70. Saillard M and Desanto J A 1996 A Coordinate-Spectral Method For Rough Surface Scattering in Random Media 6 135-49
71. West C S and O'Donnell K 1995 Observations Of Backscattering Enhancement From Polaritons On A Rough Metal Surface J. Opt. Soc. Am. A 12 390-7
72. Roger A 1980 Grating Profile Reconstruction By An Inverse Scattering Method Opt. Commun. 35 299-302
73. Kleinman R E and Van Den Berg PM 1992 A Modified Gradient Method For Two-Dimensional Problems In Tomography J. Comput. Appl. Math. 42 17-35
74. Wombell R J and Desanto J A 1991 Reconstruction Of Rough Surface Profiles With The Kirchhoff Approximation J. Opt. Soc. Am. A 8 1892-7
75. Rouvier S, Borderies P and Chenerie I 1997 Ultra-Wide Band Electromagnetic Scattering Of A Fractal Profile Radio Sci. 322-385
76. Franceschetti O, Iodice A, Migliaccio M and Riccio D 1999 Scattering From Natural Rough Surfaces Modeled By Fractional Brownian Motion Ieee Trons. Antennas Propagat. 47 1405-15
77. Franceschetti G, Iodice A, Maddaluno S and Riccio D 2000 A Fractal-Based Theoretical Framework For Retrieval Of Surface Parameters From Electromagnetic Backscattering Data Ieee Trons. Geosci. Remote Sensing 38 641-50
78. Mattia F 1999 Backstattering Properties Of Multiscale Rough Surfaces J. Electromag1L Waves Applicat. 13 493-527
79. Pelosi G and Coccioli R 1997 A Finite Element Approach For Scattering From Inhomogenenous Media With Rough Interface Mn·Es Random Media 7 119-27
80. Pak K, Tsang L, Li Land Chan C 1993 Combined Random Rough Surface and Volume Scattering Based On Monte Carlo Simulations Of Solutions Of Maxwell Equations Radio Sci. 28 331-8
81. Lam C and Ishimaru A 1993 Mueller Matrix Representation For A Slab Of Random Medium With Discrete Particles and Random Rough Surfaces With Moderate Surface Roughness J. Phys. A: Math. Gen. 260 111-25
82. Brown G 1990 The Method Of Smoothing Applied To Random Volume and Surface Scattering Scattering In Volume and Surfaces Ed M Nieto-Vesperinas and J C Dainty (Amsterdam: Elsevier)
83. Elson J M 1984 Theory Of Light Scattering From A Rough Surface With An Inhomogeneous Dielectric Pennittivity Phys. Rev. B 30 5460-80
84. Dietrich S and Haase A 1995 Scattering Of X-Rays and Neutrons At Interfaces Phys. Rep. 260
85. Mudaliar S 1994 Electromagnetic Wave Scattering From A Random Medium Layer With A Random Interface Mn-Es Random Media 4 167-76
86. Zhang G, Tsang Land Kuga Y 1997 Angular Correlation Function Of Wave Scattering By A Buried Object Embedded In Random Discrete Scatterers Under A Rough Surface Microwave Opt. Technol. Lett. 14 144-51