Authors

Citation

K. Hattori et al., Wave scattering from a periodic random surface generated by a stationary binary sequence, WAVE RAND M, 11(1), 2001, pp. 1-20

Citations number

18

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Physics

Journal title

WAVES IN RANDOM MEDIA

ISSN journal

0959-7174
→ ACNP

Volume

11

Issue

1

Year of publication

2001

Pages

1 - 20

Database

ISI

SICI code

0959-7174(200101)11:1<1:WSFAPR>2.0.ZU;2-B

Abstract

This paper studies the scattering of a TE plane wave from a periodic random
surface generated by a stochastic binary sequence using a stochastic funct
ional method. The scattered wave is first expressed as a product of an expo
nential phase factor and a periodic stationary process. The periodic statio
nary process is then expressed by a harmonic series representation, that is
a 'Fourier series' with 'Fourier coefficients' given by mutually correlate
d stationary processes. These stationary processes are regarded as stochast
ic functionals of the binary sequence and they are represented by orthogona
l binary functional expansions with band-limited binary kernels. The binary
kernels are determined up to the second order from the boundary condition.
Then, several statistical properties of the scattering are calculated nume
rically and illustrated in figures. It is found that, in the binary case, t
he second-order scattering cross section has a subtractive term and becomes
much smaller than the first-order one.