Convergence of solutions to the rough-surface scattering problem

Waves Random Media

Volumn 9, Issue 3, 1999, Pages 401-413

  McDaniel, Suzanne T ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SCATTERING; SURFACE ROUGHNESS;

KIRCHHOFF APPROXIMATION; SMALL-SLOPE APPROXIMATION;

SURFACE PHENOMENA;

EID: 0032638738     PISSN: 09597174     EISSN: 13616676     Source Type: Journal    
DOI: 10.1088/0959-7174/9/3/308     Document Type: Article

References (14)

1. Milder DM 1991 An improvedformalismforwave scatteringfromrough surfaces J. Acoust. Soc. Am. 89 529-41
2. Voronovich A G 1985 Small-slope approximation in wave scattering by rough surfaces Sov. Phys.-JETP 62 65-70
3. Kaczkowski P J and Thorsos E I 1994 Application of the operator expansion method to scattering from one dimensional moderately rough Dirichlet random surfaces J. Acoust. Soc. Am. 96 957-72
4. Broschat S L and Thorsos EI 1997 An investigation of the small-slope approximation for scattering from rough surfaces. Part II. Numerical studies J. Acoust. Soc. Am. 101 2615-25
5. Maue A W 1949 On the formulation of a general scattering problem by means of an integral equation Z. Phys. 125 601-18
6. McCammon DF and McDaniel S T 1986 Surfacereflection: onthe convergence ofaseries solutiontoamodified Helmholtz integral equation and the validity of the Kirchhoff approximation J. Acoust. Soc. Am. 79 64-70
7. McDaniel S T 1998 An iterative solution of the rough surface scattering problem Waves Random Media 8 3-14
8. Uretsky J L 1965 The scattering of plane waves from periodic surfaces Ann. Phys., NY 33 400-27
9. Milder D M 1996 Role of the admittance operator in rough-surface scattering J. Acoust. Soc. Am. 100 759-68
10. Watson GN 1966 Theory of Bessel Functions (Cambridge: Cambridge University Press) p 141
11. McDaniel S T 1995 An extension of the small-slope approximation for rough surface scattering Waves Random Media 5 201-14
12. Varga R S 1962 MatrixIterative Analysis (Englewood Cliffs, NJ: Prentice-Hall) p 82
13. Urusovskii I A 1965 Diffraction by a periodic surface Sov. Phys.-Acoustics. 10 287-93
14. Thorsos E I and Broschat S L 1995 An investigation of the small-slope approximation for scattering from rough surfaces. Part I. Theory J. Acoust. Soc. Am. 97 2082-93