THE THEORY OF RADIO-WAVE PROPAGATION IN A NONHOMOGENEOUS ATMOSPHERE FOR A SLIGHTLY RAISED SOURCE

• Document Type: CREST
• Collection: General CIA Records
• Document Number (FOIA) /ESDN (CREST): CIA-RDP80-00809A000600350116-4
• Release Decision: RIPPUB
• Original Classification: C
• Document Page Count: 2
• Document Creation Date: December 22, 2016
• Document Release Date: August 19, 2011
• Sequence Number: 116
• Publication Date: October 3, 1950
• Content Type: REPORT

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Bimonthly periodical
Moscow
Jan~Feb 1950
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NIRIT{D fT~AYI. R[IRODUCTION 0I 7X11 TORY If IROMI IIT[0.
SOURCE
Izvesti demii h ,Vol XN, No 1,.1950
PP 70-9 ?
THE THEORY OF RADIO-WAVE PROPAGATION IN A NONHOMOGENEOUS
ATMOSPHERE FOR A SLIGH7.'LY RAISED SOURCE
Diges]
The theory of radio-wave propagation in an atmosphere whose dielectric
constant depends upon height has already been elaborated for the case where
the sotu~ce is s vertical electric dipole placed?on the earth's .surface. On
the other hand, the case of a raised source (horizontal and vertical, electri-
cal and magnetic dipoles) has been considered under the assumption.of a homo-
geneous atmosphere. This article gtudies the "combined" case: a raised dipole
and nonhomogeneous atmosphere,
The formulas derived in the first case above, for the general case where
the index of rePractign behaves arbitrarily, were developed in great detail on
the assumption of normal refraction, where radio-wave propagation possesses
qualitatively the same nature as in a.homogeneous atmosphere. The case of
auperredraction where the lower layer of the atmosphere acquires the character
of a wave guide is of independent interest and deserves special consideration.
This article discusses this case in detail. For its quantitative charalemroftic,
it is ~Tery udeful to point out its si,'ni.larity to the nonatationary p
quantum mechanics on the spreading of'weve packets in a given Pield of ?~rce;
this similarity has remained unnoticed up to now.
Tihe problem of radio-wave propagation under condit'_ans where the atmos-
phere plays the role of a wave guifle was taken up also by P. Ye. Krasnustikin,
who applied the method of.?normal Waves to plane-laminar and spherico-laminar
media?(see his brochure,."!(etod Normal`nykh Voln v Primenenii k Problems
Dal'nikh Radiosvyazey," 191+7, Moscow State. University). '?Krasnushkin's in-
teresting research, however, has main7.y a qualitative character and leaves un-
expL?ined aseries of essential mathematical. problems, par'bicularly the problems
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of the sgectrum ("range") of complex eigenvalues of the "normal naves" end
the problems. of the limiting conditions for the corresponding normal func-
tions."
Section 1 of the article describes the basic equations and limiting
conditions of the problem.
Section. 2 considers the approximate forms of the equations (Leonto-
vlch's parabolic equation) with suitable limiting conditions and with the.
conditions that determine the characteristic: ("singularity").
Section 3 draw the similarity between this problem as formulated and
the nonstationary problem of quantum mechanics.
Section 4 makes the transition to dimensionless quantities.
Section 5 studies the properties of the partial solutions of the dif-
ferential equations:
Section:: 6 constructs from the previous differential equations the gen-
eral solution in the form of a contour integral and in the form of a series.
Section 7 then considers an example where the curve of the given index
of refraction is assumed to be composed of two rectilinear portions.
Section 8 gives the approximate formulas that ere similar to the semi-
classical formulas of quantum mechanics for the determination of the coef -
ficients of damping and the "altitude, factors." troblems encountered in the
methodology or procedure of numerical calculations are not treated in the
article.
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