. The Bell System technical journal . DIRECTION OFCONDUCTION. CIRCUMFERENTIALLYMAGNETIZED Fig. 11 — (a) Cylindrical helix surrounded by ferrite, (b) Magnetic Reld linesprojected onto a plane containing the axis of the helix. GUIDED WAVE PROPAGATION TIIliOTGII GYUOMAGNKTIC MKDI A . 11 <)7 I (e) j(^ei Kiicxir) Y ai /vo(air) Inside the helix, we require the solution for an isotropic region whichremains regular as r -^ 0. Accordingly ^ (i) _ joco hjaor) . /— — w/xo Iiiocor) ?o = w juoeo and „ (i) _ . weo /i(aoro) -» TM —J ao /o(aoro) where eo, mo are the dielectric constant, and permeability of
. The Bell System technical journal . DIRECTION OFCONDUCTION. CIRCUMFERENTIALLYMAGNETIZED Fig. 11 — (a) Cylindrical helix surrounded by ferrite, (b) Magnetic Reld linesprojected onto a plane containing the axis of the helix. GUIDED WAVE PROPAGATION TIIliOTGII GYUOMAGNKTIC MKDI A . 11 <)7 I (e) j(^ei Kiicxir) Y ai /vo(air) Inside the helix, we require the solution for an isotropic region whichremains regular as r -^ 0. Accordingly ^ (i) _ joco hjaor) . /— — w/xo Iiiocor) ?o = w juoeo and „ (i) _ . weo /i(aoro) -» TM —J ao /o(aoro) where eo, mo are the dielectric constant, and permeability of these expressions in (34), we obtain after slight rearrange-ment hiaoVo) . ooei Kiiain) t ^ .. \ a (35)tan ^ /o(aoro) aieoKo{airo) ]_ Iiiaon) ixa^ (2% - 1) TFx,i(2a2r)_ which determines /3. A complete solution of equation (35) is out of the question. However,as in the planar case, for the slow waves used in travehng wave tubework, the equation may be simpUfied so that solutions may be com-puted rather easily. For electron veloci
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