NDLI: Some Statistical and Spatial Properties of Signal Scattering by 2-D Slightly Rough Random Surfaces

Content Provider	IEEE Xplore Digital Library
Author	El-Bah, S. Dusseaux, R. Afifi, S.
Copyright Year	1963
Abstract	Within the framework of the first-order small perturbation method (SPM), we establish some statistical and spatial properties of signal scattering by 2-D slightly rough random surfaces. The work concerns the total field within the intermediate field-zone for an ergodic and stationary Gaussian surface under illumination by a monochromatic plane wave. For infinite extension surfaces, we obtain the probability density functions (pdfs) for the modulus and phase of the total field components. The modulus pdf is expressed as an infinite sum of modified Bessel functions while the phase pdf is expressed in terms of the error function. Under oblique illumination, the total field is not wide-sense stationary. From a spatial point of view, for a given elevation and under all incidences, we show that the total field is ergodic to the second order. Under oblique incidence, the spatial distribution of the total field modulus is a Rayleigh law and the phase is uniform. Under normal incidence, we establish that the spatial and statistical distributions are interchangeable.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	721
Ending Page	729
Page Count	9
File Size	753892
File Format	PDF
ISSN	0018926X
Volume Number	64
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2016-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Rough surfaces Surface roughness Surface waves Surface treatment Optical surface waves Random processes Correlation ergodicity Rough surface total field small perturbation method stationarity Ergodicity rough surface small perturbation method (SPM)
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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