Scattering of an electromagnetic wave from a slightly random dielectric surface: Yoneda peak and Brewster angle in incoherent scattering

Author： T. Kawanishi

Publisher： Taylor & Francis Ltd

ISSN： 0959-7174

Source： Waves in Random Media, Vol.7, Iss.3, 1997-03, pp. : 351-384

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Abstract

The scattering of an electromagnetic wave from a two-dimensional, slightly rough dielectric surface is studied based on the stochastic functional approach. It is shown that in the case of TM(p)-polarized incidence there exists a zero in the incoherent scattering at the angle we call the `Brewster scattering angle', which depends on the incident angle in contrast to the Brewster angle of coherent reflection which is independent of the incident angle, that a `quasi-anomalous scattering' can generally occur in the optically denser medium at the critical angle of total reflection in both TE(s)- and TM(p)-polarized incidence, regardless of which side of the random surface is illuminated, and that the Yoneda peak in the x-ray scattering can be interpreted as a special case of the quasi-anomalous scattering which becomes sharper when the relative refractive index becomes closer to unity as in the x-ray region. Cross-polarized scattering and enhanced backscattering due to the second-order effect are also calculated.