References
- Meecham , W C . 1956 . On the use of the Kirchhoff approximation for the solution of reflection problems . J. Rational Mech. Anal. , 5 ( 2 ) : 323 – 34 .
- Broscht , S L , Thorsos , E I and Ishimaru , A . 1989 . The phase perturbation technique verss an exact numerical method for random rough-surface scattering . J. Electromagnetic Waves Appl. , 3 ( 3 ) : 237 – 56 .
- Holliday , D , St-Cyr , G and Woods , N E . 1986 . A radar ocean imaging model for small to moderate incidence angles . Int. J. Remote Sensing , 7 ( 12 ) : 1809 – 34 .
- Zipfel , C G and DeSanto , J A . 1972 . Scattering of a scalar wave from random rough surface: A diagrammatic approach . J. Math. Phys. , 13 ( 12 ) : 1903 – 11 . DeSanto J A and Brown G S 1986 Analytical techiques for multiple scattering from rough surfaces Progress in Optics vol 23, ed Wolf E (Amsterdam: Elsevier)
- O'Donnel , K A and Mendez , E R . 1987 . Experimental study of scattering frm characterized random rough surfaces . J. Opt. Soc. Am. , 4 : 1194 – 205 .
- Leader J C The relationship between the Kirchhoff approach and the small perturbation approach in rough-surface scattering theory IEEE Trans. Antennas Propagat. 1971 19 786 8 Valenzuela G R Wright J W Leader J C Comments on the relationship between the Kirchhoff approach and the small perturbation approach in rough-surface scattering theory IEEE Trans. Antennas Propagat. 1972 20 536 9 Brown G S A comparison of approximate theories for scattering rough surfaces Wave Motion 1985 7 195 205 Ogilvy J A Wave scattering from rough surfaces Rep. Prog. Phys. 1987 50 1553 608
- Holliday , D . 1987 . Resolution of a controversy surrounding the Kirchhoff approach and the small perturbation method in rough surface scattering theory . IEEE Trans. Antennas Propagat. , 35 ( 1 ) : 120 – 2 .
- Thorsos , E I and Jackson , D R . 1991 . Studies of scattering theory using numerical methods . Waves Random Media , 1 ( 3 ) : S165 – 90 .
- Thorsos , E I . 1988 . The validity of the Kirchhoff approximation for rough-surface scattering using a Gaussian roughness spectrum . J. Acoust. Soc. Am. , 83 ( 1 ) : 78 – 92 .
- Macaskill , C and Kachoyan , B J . Iterative methods for scattering from rough surfaces varying in one or two dimensions . August 1991 , Florence. ICO Topical Meeting on Atmospheric and Surface Scattering and Propagation , International Commission for Optics .
- Maradudin , A A . Enhanced backscattering of light from random surfaces and related phenomenon . August 1991 , Florence. ICO Topical Meeting on Atmospheric and Surface Scattering and Propagation , International Commission for Optics .
- Ishimaru , A and Chen , J S . 1991 . Scattering from very rough metallic and dielectric surfaces: a theory based on the modified Kirchhoff approximation . Waves Random Media , 1 : 21 – 34 .
- Bruce , N C and Dainty , J C . 1991 . Multiple scattering from rough dielectric and metal surfaces using the Kirchhoff approximation . J. Mod. Opt. , 38 ( 8 ) : 1471 – 81 .
- Jackson , J D . 1975 . Classical Electrodynamics , 2nd edn , New York : Wiley .
- Liszka , E G and McCoy , J J . 1982 . Scattering at a rough boundary—extensions of the Kirchhoff approximation . J. Acoust. Soc. Am. , 71 ( 5 ) : 1093 – 100 .
- McCammon , D F and McDaniel , S T . 1986 . Surface reflection: on the convergence of a series solution to a modified Helmholtz integral equation and the validity of the Kirchhoff approximation . J. Acoust. Soc. Am. , 79 ( 1 ) : 64 – 70 .
- Abrahamowitz , M and Stegun , I A . 1970 . Handbook of Mathematical Functions , Edited by: Abrahamowitz , M and Stegun , I A . New York : Dover .