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Integral equations for the first two statistical moments of the field in a high‐density medium of strongly scattering particles
Author(s) -
Wolf David A.,
Begum Syeda R.
Publication year - 1986
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs021i005p00823
Subject(s) - generalization , integral equation , scattering , electromagnetic field , autocorrelation , field (mathematics) , physics , particle (ecology) , method of moments (probability theory) , work (physics) , mathematics , statistical physics , mathematical analysis , quantum electrodynamics , classical mechanics , quantum mechanics , statistics , oceanography , pure mathematics , geology , estimator
Integral equations are derived for the coherent field and for the field autocorrelation in the very general case of electromagnetic wave propagation in a medium of densely packed nontenuous particle scatterers. All orders of Ntuple particle correlations are included. The resulting equations are a generalization of those derived recently by Tsolakis et al. (1985); the four lowest‐order terms of each equation include those of the earlier work which only incorporate two‐particle correlations.