Line-of-site wave propagation in a randomly inhomogeneous medium

Fannin, B. M.

doi:10.1109/tap.1956.1144451

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…4.4) where the scattering parameter-dependent functions have approximately the same form as the filtering functions i J> (x) and iJ>(x). The r esults obtained in this way are substantially the same as those obtained by Fannin [42], Mintzer [6], Obukhov [39], and Chernov [40] by the more laborious direct calcula tion of six-fold volume integrals. Since their results differ in details of propagation geometry, space correlation models, and scattering theory, we have constructed table 3 to summarize the essential assumptions and r esults of each paper .…”

Section: Propagation Calculations Based On Wave Theorysupporting

confidence: 77%

Radio-wave scattering by tropospheric irregularities

Wheelon¹

1959

J. RES. NATL. BUR. STAN. SECT. D. RAD. PROP.

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The subject of rad io-wave scatterin g by t urbulen t irregu lari t ies in t he t ropospheri c index of r efr action is r eviewed. D escriptions of t h e t urbulen t m edium a re con sidered first, togeth er wlth a st atus r eport on phys ical t heo ries for t he sp ectrum of irreg ul a ri ties. Ph a e and amplit ude scin t illations indu ced on electromagnetic waves p ro pagated a lo ng lin e-ofsigh t paths are dl sc ussed next. The compleme ntary problems of sig nal statistics a nd electromag netic-propagation calcul at ions a re s umma ri zed a nd co mpa red wi t h ava ilable data. Bot h t he geometrical optics and wave t heory a pproac hes a re di sc us ed. The theo r y of propagation beyond t he hori zon by scatter in g from t ile same irreg ul a ri t ies is t hen desc rihed. A curre nt re vi ew of the predi ction s for received power, signa l fluctuation s, an d a n tenn a effects is g ive n. The pape r is prima ri ly a r evie w of t he esse ntia l a nd a uxili a ry p redi ctions of scatte r t heo ry, b ut a lso co nta ins a co nsid erab le a moun t of unpublished re ear ch by t he a u t ho r. 1. Bessel: f(x) = xK1 (x) This correlation model was devised to predict: (a) The observed linear-wavelength dependence of average power for tropospheric scatter propagation; and (b) certain features of line-of-sight propagation experiments.

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Section: Propagation Calculations Based On Wave Theorysupporting

confidence: 77%

Radio-wave scattering by tropospheric irregularities

Wheelon¹

1959

J. RES. NATL. BUR. STAN. SECT. D. RAD. PROP.

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“…On the other hand, the ratio of these two quantities, i.e., •(la, lO, lu) the right-hand side here appears to be independent of the penetration depth z. The symmetry thus found seems to have been described first by Fannin [1956], considering a normal • distribution.…”

Section: Diffusion Equation For Forwardmentioning

confidence: 51%

General remarks concerning theories dealing with scattering and diffraction in random media

Bremmer¹

1973

Radio Science

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The theories to be considered in this review deal mostly with the effect of random media on the propagation of electromagnetic or other waves traversing them. The purpose aimed at thus consists of finding connections between the statistical properties of these waves and the given statistical properties of the medium itself. The characteristics of this medium are to be fixed by one or more wave equations or by equivalent dispersion relations. The waves may be investigated as such, considering the wave function Ψ(r, t) of one or more associated scalar or vector components, or, more generally, the theory may refer to related quantities, e.g., the squared modulus |Ψ|2 which fixes an energy density or, as in quantum mechanics, a probability density.

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