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BSTJ 30: 4. October 1951: A Gun for Starting Electrons Straight in a Magnetic Field. (Pierce, J.R.) PDF

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Preview BSTJ 30: 4. October 1951: A Gun for Starting Electrons Straight in a Magnetic Field. (Pierce, J.R.)

‘A Gun for Starting Electrons Straight in a Magnetic Field yy prance tut a lest poner Ste sip a ai N 1051 Davawe ae! Calbiee show! that cular aperce in om cucting plate which separates regione wid diferent erie gracents ‘owpal tthe sefaces act 2 an let Les of focal length Pen by we ae o ese ¥ isthe potential of the plate with respect to the eathade which supplies the lotraae and and Vane the chr raents onthe fet nd pet ses of the aertice respectively ‘Wher an cletnas ur x predneet Bp eau pla rath aod 2 oppnee' pla patie aperirel ade the Akshar (ue Foratastiversing lon are cause th emerging hon to spend Someta Dis cuty waledeabe. A strong lly stagnate eld parle = che litt cles fw may be yee to reduce sul grating oe Beam, as wll 2 the spreading ecu iy spre enarge al by Darna voorten The maguete ch cis a complesiyoveteonn: Hie wien oF ne lhoam eousd by the lens action ofthe ena apetir, for he iil velace ites whien the letras hive emerging fot Une aperture case then To spiral inthe mec fli nnd the Beat pusducsl iv altemately narrow Set mat along ite lest, This paper desis ap election gun wonssting of cathode and the sported plates tnester with a alions axl mvt eld, The go Afesigne so thet tert lene on ero andthe lato rere train ferae.t0 the camede fe Tre aletnale syste is shows in Hig. 1. Tae elernonstrvel frome the plas cathode the apertre in lane sectede yin parla nes, Att they aecive weal oesity appnovimasely a, yven iy Dax J. Cais enon Lea Ps Sey vl 88 88, Aa 825 Thr we, sveme THIER, OCHOMER 1951 ore ris the radial postion othe weseo, the fra en af she lens st fy ands isthe longevity at 2 | rq. 1the gm seri a plan the god vo pert pan dete EE UE acne ad Eee i re \atbed oli tn sors geht he magnetic Hel stength iss ajusted as vo evturn the elcirons to the mains at As Figure 2 stow the motion of ar outer electron between “Avan seen looking slau the ai ince there no eal electric eld ki POR STARTING ELECTRONS STRATORT 1 MAGEE FL 827 betwen Ay tl Ay, the electron will ove i err ac of some edius tnd at Ay the mca velocity will le must and opposite to thet et 13 th by iil Be ‘The change in radia! velocity al the eetron in pesing tzoush che apertae iy Si mons i) snbere Mes the fal engl of the lone at ay and te the lngitnal ‘leeteon velocity xt snd suck that feo @ ence, Ue rai very on of Ce apposing etre overcome Sn puting through ne apartore in sand eerie ove pl che ato the it of ae For ermpertare di enon xl wall pce hae, we may ese a unform rato betwen the ethene and bewece al Farber, we ay ie the elation win Via 6 From (0-8) we ely find tht the equi sltionItneen fy thee ig rom athe clyde ecg Uren ts tae ae ‘he potentials of 4s Ny wilh wet tothe cate, Like TT + N= Th cas ofsgucoclangelinital emis, the space charge wil cause the again tothe of Ao he} times a rest ti esata of ce Charge, pce cane i len ne scent is rego ely, Err Otte om (al be mpd by ‘We hvestl to dete the maga el eure ost eh ke toon leaving yates tothe ran vat Pht Fig 3 nae that there tore ecogh an angle Since the nls veloc of tone magi ld ei, 2 = elma a wher isthe transit time between and J As the electron moves betwcen yan > mits constant acelnation 82k ns wrts exenea wwrwnmeAL ONAL, OFTORR 1951 (Ni, fom Fig, 2 we oe alo that rasin@/2) ~ ring? 9/2) — rexet0P2) ten 82) — ew Now -9 san fo — /2) = he ° Ian (822) = = ie For sitctlar motion will a angular ylocly (elas and = sie eal speed # ta oy tbe ew men ys ra = lef an ig, tl Ll of taco ae ei ae gested oo ‘anton ati vllce ran), , ) ane a) rm (ad (8) we se tha i uy Be sen tan = 4 ww) , Sn 8 VI ve = 1 = s(0/tangey2 an ‘We mote thet mst le in the thd fourth gparaes. Ta Fig 3, 6 atin ve. PP Wennow have both Ly and expressed in terns V/s (0) al (11), ‘om # and £ we can usin the proper value of F fom (1) ae £8 B= Bile B= OT ileal + VYIVD a We sce foe Fig. 4 iat. Ler wl be Bit errr in sssming that © = Tr we assume carplets space charge between the eattde and a, aad ree spe charge betwosn and ly, BOehng altered sve he tho Eri Tye a8 was exphined previously, this becomes {tines the valuo given we. Ti Be ee af lite Ss he sme fomeson of Ya for apertures the corection far space charge ie the some, ent (£2) wi give the cotect magnetic ld ith =

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