T. Kawanishi et al., SCATTERING OF AN ELECTROMAGNETIC-WAVE FROM A SLIGHTLY RANDOM DIELECTRIC SURFACE - YONEDA PEAK AND BREWSTER-ANGLE IN INCOHERENT-SCATTERING, Waves in random media, 7(3), 1997, pp. 351-384
The scattering of an electromagnetic wave from a two-dimensional, slig
htly rough dielectric surface is studied based on the stochastic funct
ional approach. It is shown that in the case of TM(p)-polarized incide
nce there exists a zero in the incoherent scattering at the angle we c
all the 'Brewster scattering angle', which depends on the incident ang
le in contrast to the Brewster angle of coherent reflection which is i
ndependent of the incident angle, that a 'quasi-anomalous scattering'
can generally occur in the optically denser medium at the critical ang
le of total reflection in both TE(s)- and TM(p)-polarized incidence, r
egardless of which side of the random surface is illuminated, and that
the Yoneda peak in the x-ray scattering can be interpreted as a speci
al case of the quasi-anomalous scattering which becomes sharper when t
he relative refractive index becomes closer to unity as in the x-ray r
egion. Cross-polarized scattering and enhanced backscattering due to t
he second-order effect are also calculated.