. The Bell System technical journal . Fig. 9(b) and (c) — See Fig. GUIDED-WAVK PROPAGATION TIIKOI-GII CYUOMAGNETIC MEDIA 013 and 11 and of the .surface (?(7XXi), <t) between (0„)t and (7^) r it is evidentthat along any {ontour such as G{\i , a) = 7v, G{T{\\), a) will take on allpositive values from 0 to x and, in particular, 7v. Since this is true forany /\, it follows that the region between Oi , 7i , (7b)r contains a solu-tion curve. Two points on this curve are immediately obvious: the inter-sections of (7b)7-, 7i and the point (1, 1) on (0„)r , Oc . The first is theint


. The Bell System technical journal . Fig. 9(b) and (c) — See Fig. GUIDED-WAVK PROPAGATION TIIKOI-GII CYUOMAGNETIC MEDIA 013 and 11 and of the .surface (?(7XXi), <t) between (0„)t and (7^) r it is evidentthat along any {ontour such as G{\i , a) = 7v, G{T{\\), a) will take on allpositive values from 0 to x and, in particular, 7v. Since this is true forany /\, it follows that the region between Oi , 7i , (7b)r contains a solu-tion curve. Two points on this curve are immediately obvious: the inter-sections of (7b)7-, 7i and the point (1, 1) on (0„)r , Oc . The first is theintersection of the curves X = H- V 1 -\-<J 1 I - o-X At the point (1, 1), X2 is — x, Xi is unity and /3 is therefore with this knowledge we now investigate analytically the behaviorof 18 near o- = 0 directly from the original G-equation and Polder rela-tions. Writing Xi = 1 + ce and 0- = 1 + 6, (1 — X)/(l — aX) is to zero Xa?-2 - Fig. 9(d) — See Fig. <) 614 THE BELL SYSTEM TECHNICAL JOURNAL, MAY 1954


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