On violation of Rayleigh and Bragg laws of scattering

Author

Chukov, Vitalii N.

Author_Institution

Center of Acoust. Microscopy, N.M. Emanuel Inst. of Biochem. Phys., Russia

fYear

2011

fDate

May 30 2011-June 3 2011

Firstpage

55

Lastpage

62

Abstract

The problem of Rayleigh wave scattering by deterministic cylindrically symmetrical roughness occupying finite size region of isotropic solid surface is solved in Born (Rayleigh-Born) approximation of perturbation theory in roughness amplitude. Formula for displacement field in the scattered Rayleigh wave at big distance from roughness and asymptotic formulas for the mentioned displacement field in Rayleigh (long-wavelength) and in the short-wavelength limits are derived. The new laws of scattering violating Rayleigh law in the long-wavelength limit and Bragg law in the short-wavelength limit are obtained.

Keywords

Rayleigh scattering; Rayleigh waves; acoustic wave scattering; perturbation theory; surface resistance; Bragg scattering law; Rayleigh scattering law; Rayleigh wave scattering; Rayleigh-Born approximation; deterministic cylindrically symmetrical roughness; isotropic solid surface; perturbation theory; short-wavelength limit; Diffraction; Manganese; Oscillators; Rough surfaces; Scattering; Surface roughness; Surface waves;

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction (DD), 2011

Conference_Location

St. Petersburg

Print_ISBN

978-1-4577-1577-8

Type

conf

DOI

10.1109/DD.2011.6094365

Filename

6094365