This historic book may have numerous typos and missing text.
Purchasers can download a free scanned copy of the original book
(without typos) from the publisher. Not indexed. Not illustrated.
1915 Excerpt: ...the integral expressions forll, nxi n2in these
equations and equating to zero the coefficients of functions of
type Jn(Xp) in the resulting integral equation, we obtain the
system of equations IV THE SPREADING OF WAVES OVER AN INFINITE
PLANE 75 where the last equation has been simplified with the aid
of the relations / = g = 0 (n0) which are a consequence of the
previous equations. Solving these equations we eventually find that
if iWQ o, Qt), n, -(j?., o, n, ), + IB cos oS Jx (p) eTMla---5-r.
Jo (I + m) (hH + km) The "directed effect" depends on the presence
of the terms involving cos oS in the expressions for Qz and Rz. Now
when r = oo for the second medium, h = cc, and these terms vanish
altogether; hence the possibility of directing the energy of the
radiation sent out from the bent antenna is due to the imperfect
conductivity of the earth. Von Hoerschlemann has given a numerical
discussion of the above formulae but the investigation is too long
to be inserted here. 28. Propagation of electromagnetic waves along
a straight wire of circular cross-section. Let us consider the
symmetrical case when the electric force at any point is in a plane
through the axis of the wire H. Hertz, Electric Waves; J. J.
Thomson, Proc. London Math. Soc. Vol. 17 (1886), p. 310; Recent
Researches, 259; A. Sommerfeld, Ann. d. Physik, Bd. 67 (1899), p.
233; Gray and Mathews, Bessel Functions, Ch. 13; M. Abraham,
Encykl. d. Math. Wiss. Band V. 2, Heft 3 (1910), p. 526; J. Larmor,
Proc. of the 5th Int. Congress of Mathematicians, Vol. 1 (1912), p.
206. The problem considered in this last paper is chiefly that of
alternating currents, viz. the forced alternations of flow produced
by a uniform periodic electric force. and the magnetic force is ...
General
| Imprint: |
Literary Licensing, LLC
|
| Country of origin: |
United States |
| Release date: |
2013 |
| First published: |
2013 |
| Authors: |
Harry Bateman
|
| Dimensions: |
229 x 152 x 9mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
166 |
| ISBN-13: |
978-1-258-54142-2 |
| Categories: |
Books >
Humanities >
History >
General
Books >
History >
General
|
| LSN: |
1-258-54142-4 |
| Barcode: |
9781258541422 |
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