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:

I

Please

handle this volume with care.TheUniversity of ConnecticutLibraries, Storrs

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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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APPENDIX1

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= - (g vy,.

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dH xdz

.,

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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

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z

dH y = -fdx

dH xdy

)

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jcc(jlH z

=

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In spherical coordinates the equations of radial propagation of

two pairs (Ee, H^ and He, components are:(rE e) V

Ep

of

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dr

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