Propagation Constants of Traveling Waves
Propagation Constants of Traveling Waves
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In our eReader you can find the full English version of the book. Read Propagation Constants of Traveling Waves Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Propagation Constants of Traveling Waves
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To quickly assess the difficulty of the text, read a short excerpt:
(U).
- 6 - or, in view of (21), dE \ r 3r v * dr (25) 1 Ut J ) * ( Y 2 + k 2 ) 1 _ e / m J > v?(i P„ " Y)' o o E - 0. Z Thus f(r), the radial part of E, must satisfy z % a?(^'-r f " ' where J.
fo^ t 2 ~ 2 t e/m ' (27) h = p 1 v?(ip ■ Y) 4 e o o Hence (28) f(r) - A I O^r) + B K Q (>7r).
Since K„ is unbounded at the origin, we must set B = 0. Then we have (29) E - A I tyr) e iut "Y z .
z L For later use we wish to derive a relation concerning the radial logarith- mic derivative of (29) evaluated ...at the edge of the beam t 8E z r=b Specifically we want to show that for values of y satisfying (2) (and hence (3))> and for (3D J n yy^ n m C I^b) > ° • We first establish that under the above conditions, (33) I n ^ >0. We may rewrite (27) as follows: - 7 - , .. , >. 2 2 Kp 2 „ r + ik . Y - ik (3U) Y = P + . P . 2 " p " K y- ip -iP n ' ^ (Y-i P ) T ° ° where K is a positive constant: (35) K = ^ J q .
ev3 o o In (3U) the first term on the right, p 2, has a positive imaginary part (from (2)).
What to read after Propagation Constants of Traveling Waves?
You can find similar books in the "Read Also" column, or choose other free books by Mortimer Weitz to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(U).
- 6 - or, in view of (21), dE \ r 3r v * dr (25) 1 Ut J ) * ( Y 2 + k 2 ) 1 _ e / m J > v?(i P„ " Y)' o o E - 0. Z Thus f(r), the radial part of E, must satisfy z % a?(^'-r f " ' where J.
fo^ t 2 ~ 2 t e/m ' (27) h = p 1 v?(ip ■ Y) 4 e o o Hence (28) f(r) - A I O^r) + B K Q (>7r).
Since K„ is unbounded at the origin, we must set B = 0. Then we have (29) E - A I tyr) e iut "Y z .
z L For later use we wish to derive a relation concerning the radial logarith- mic derivative of (29) evaluated ...at the edge of the beam t 8E z r=b Specifically we want to show that for values of y satisfying (2) (and hence (3))> and for (3D J n yy^ n m C I^b) > ° • We first establish that under the above conditions, (33) I n ^ >0. We may rewrite (27) as follows: - 7 - , .. , >. 2 2 Kp 2 „ r + ik . Y - ik (3U) Y = P + . P . 2 " p " K y- ip -iP n ' ^ (Y-i P ) T ° ° where K is a positive constant: (35) K = ^ J q .
ev3 o o In (3U) the first term on the right, p 2, has a positive imaginary part (from (2)).
What to read after Propagation Constants of Traveling Waves?
You can find similar books in the "Read Also" column, or choose other free books by Mortimer Weitz to read onlineMoreLess
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