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I
Please
handle this volume with care.TheUniversity of ConnecticutLibraries, Storrs
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TK 7872.A6S3Antennas:
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Digitized by the Internet Archivein
2012 with funding from
LYRASIS members and Sloan Foundation
http://archive.org/details/antennastheoryprOOsche
APPLIED MATHEMATICS SERIESEdited byI.
S.
SOKOLNIKOFF
ANTENNASTHEORY AND PRACTICE
APPLIED MATHEMATICS SERIESThe Applied Mathematics Series is devoted to books dealing with mathematical theories underlying physical and biological sciences, and with advanced mathematical techniques needed for solving problemsof these sciences.
~7
I
ANTENNASTHEORY AND PRACTICE
SERGEI
A. xSCHELKUNOFF
MEMBER OF THE TECHNICAL STAFFBELL TELEPHONE LABOBATORIES
HARALD
T. FRIIS
BIRECTOR OF RABIO' RESEARCH BELL TELEPHONE LABORATORIES
NEW YORK. JOHN WILEY & SONS, INC. LONDON. CHAPMAN & HALL, LIMITED1952
f
/It,
Copyright, 1952
BY Bell Telephone Laboratories,All Rights ReservedThis book or any part thereof must not be reproduced in any form without the written permission of the publisher.
Inc.
Library of Congress Catalog Card Number: 52-5083
PRINTED IN THE UNITED STATES OF AMERICA
2To ourfriends
^TheBell
in
Telephone Laboratories
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radius of a conductor equivalent to a cage of n
230
wires, ae tt
a
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/na \ 1/n \ a JJ
2jJ
K=
120 log cot
\yj,
=
276 logio cot |^.
APPENDIX1
II
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LU Lt
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/ //
DH
dH dzz
y
-f-
= - (g vy,.
dHdy
z
J
x
'
'
dH xdz
.,
dHdx
BEydz
jj
dEdy
z
The components
E H2,
z
in the direction of propagation
transverse rates of propagation of the transverse field/
depend on the components:
(g
\n + juz)Ei
z
dH y = -fdx
dH xdy
)
. i
jcc(jlH z
=
dE y-fdx
+
dE xdy
In spherical coordinates the equations of radial propagation of
two pairs (Ee, H^ and He, components are:(rE e) V
Ep
of
mutually perpendicular transverse
dr
" = -jw(rH'
'-r-v-r, 9)
+
'
dQ
dr
(rH *' 9)v
= -(g+jae)(rE 9) vy *~'v' = (g+jax)(rE a/ )+ '-" ,v ^e' '
+'
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