. The Bell System technical journal . >oac 3 .0 3 .5 4 0 4. Fig. — Beat phase-constant plotted as a function of /3oa cot ^i . Thesecurves result from the solution of the field equations given in the appendix. Forb/a = the case with dielectric between them having a relative dielectric con-stant e = 4, and 2) the case of no dielectric. The pitch angles of the twohelices were \p and —xp, respectively; , the helices were assumed to besynchronous, and wound in the opposite sense.■ Fig. shows a plot of the ratio of /3,,.//3, to ^d^ versus /3o (f//2) cotiA, ton «5.
. The Bell System technical journal . >oac 3 .0 3 .5 4 0 4. Fig. — Beat phase-constant plotted as a function of /3oa cot ^i . Thesecurves result from the solution of the field equations given in the appendix. Forb/a = the case with dielectric between them having a relative dielectric con-stant e = 4, and 2) the case of no dielectric. The pitch angles of the twohelices were \p and —xp, respectively; , the helices were assumed to besynchronous, and wound in the opposite sense.■ Fig. shows a plot of the ratio of /3,,.//3, to ^d^ versus /3o (f//2) cotiA, ton «5. IIm i b ^y ^ >^ ^-- COT 5^, -^ r /, ^^ ==^ ^^ N^ ^^ y^ ^ ^ ^ f/ ^ ^ N. ^ -c ).90 -^ r \ -^ _ ?8 , ^ /JoacoT;^, Fig. —■ Beat phase-constant plotted as a function of (3o« cot ^\ . Thesecurves result from the solution of the field equations given in the appendix. ForVa = 150 THE BELL SYSTEM TECHNICAL JOURNAL, JANUARY 1956 ).0 2. 5 ^ Fig. — Propagation constants for a bifilar helix plotted as a function of/3oa cot i/-! . The curves illustrate, (A) the dispersive character of the in-phasemode and, (B) the non-dispersive character of the out-of-phase mode. where ^^ is the coupling phase-constant in the presence of dielectric,/3j is the phase-constant of each helix alone in the presence of the samedielectric, ^c is the coupling phase-constant with no dielectric, and (3 isthe phase constant of each helix in free space. In many cases of interest/3o(d/2) cot lA is greater than Then 3£ + 1_2£ + 2_ g—(v2«+2-2)^0 (dl2) cot \l/ () Appearing in the same figure is a similar plot for the case when there is aconducting shield inside the inner helix and outside the outer, andseparated a distance, s, from the helices. Note that c? = 6 — a. It appears from these calculations that the effect of the presence ofdielectric between the helices depends la
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