BSTJ 40: 2. March 1961: Winding Tolerances in Helix Waveguide. (Unger, H.G.)

5.5 MB·English

Winding Tolerances in Helix Waveguide

Hy MG, UNGER
Astana) ose: Septem 29, 1

Ive poet bac wept te ivan eetee wi Toe a stovana
by sly caren, dn arb 1 th Bei, eta doo the ce spate
gt ete ofthe wire ting. Daly the eatrbutons frm ey ent

‘nna pitch are frye cvough co inst wt wy ul paring.
‘Experimenta lous orgie hae ed urs, Th fille ont ae
pling Bernsen irsalae nec md unsoanb we, Brom the ooupting
Boden meee se ati of ola ose, the eouptig fn
Tilted wees fom For ee woot ath igh

Iovce eavepvit
Cowpuioe winding asin fey, grerae! t
eit

‘Tile au utes Sropsustoe I the wbuting Kecene te ie
SAS lng tor exon cman anton evar of
Di snavant they ts 2h de ant

fle sve ty £9 ps con af loss pg eoppr pae vith acoth
Ate. Preset fabri jars inne snare Ml a tha

Hsin wavegide vonssting of lowly wnnd ialtrd ronnie
reed it ant eletoney fornbing of serve jal so 3
Iso edbun: Svs ietaie mes I loge ane emma
tion mith eresborsorsie waves twas wade ey, fw nega
ing Benes er srt rary as tuned Tw sop nea of @ pa
nora sarge

ev antag, th les of esenlaseoerie war ders

clly th Tequrney ony peat a0 wave, Amy eda
Hye fn and tt gas roy iva al bow pita
vol ai the lve icra lesa ewes

TDeviatos (von ol-aiges aod decorate ore sein of

Teg wevoqiide hae? een solsae) wore tnd thoi feet mn isu
Cleric nae Toi as a deere"? Wan ee mpente
nue nen vere suoustest sortNan, saneRe 288
ios ae eased fn ty satarng press Oy are sail os
tril sor He guid ng lhl conan dane. Ts
they a nearly the mame avecage Toe tn The eeu elie wave
a they dh in gplain stale warrguide* Manusecouring tolerances Zar
‘rains td for enoaraueional deiermons a threfons Ue ae
for halls wavewuide os they are for mowlie wrest

‘Lsigtons af the vending dma a lonepitel wife: epi ee incpee-
Fevsons peeliar a the helt waregcide. Their oe ex cela shee
Save tsaemision will be anelyaed heer ane tolerances oa tae winding
1 he hos aera tr kee teem wl destined

"This ean nv rao salen wen

His waveguide i uals exad fm round wee wit un nculting
layer Been when fash ali is perfec cecarate wad uifors ta der
ser Tine a atooth mptelie Revegside acd to tas enewar electric
Weave a. The vania effec car betel a3 f0.078

2 silly OnconeLave 8 the Spd Wie

‘ho eceurerental wulleuerats ofeiealar elec waves ase
Ionity dabributed in @ meath well. Tt tho spased wires of te helix
oveganle tis dissibtion ia anmsanfe, ‘Ube hes asia therefore
‘novesged uve Ue sau wal ee In Hig 1 hi oe ineronse ile)
‘ier the pacing Gor «wate size smal empured to che wavelength, xing
risen cleans.

cwoueran nares
‘WHSTHNn RANE AE RC wa EAN ow

a Patel!
1 the oof sai i lly ord ingle ie an
diameter D, then ts pte ane"? # sg vn ly

We one!

‘The we enstoms of srl electri wasters cient
I te fo. waveguide tie pac is disurte yt is itel, Poser
lino ectie wee ipated sU al pinen Zhi
the aurourding jock provi ty Ihe song ce nti. Th aed
‘eeu elveie sare ls deo fi ie

oo aaa E) %

‘whew Zo — Vig ie the wave fopelance and ko the prope
Tio combat we suse die fhe ama ema cE Ate Oe Re
v elm ple onsen ti Ty BE

AX reoctive jacket ll wot ssnace nny pores A Vol nvr
stosigne for treasni ig te sire eae are hey a
‘unaren ara jacket with w yore Tage wal pean Les thi ee
Sep gg tne, 9 fea a sce

sx Poser Dissipation Voeon Wire Spming

Voven Mngt ela ie ley woe the woes stp ease’ by che
vin sti, Wh he else ld of eirvloreletie wares paral
tthe wav, she opae botnets seal eine rad Being

hott this Sutff averse sil Cw sore ri ular ween ase
pre, wb i then seed by the ket Tera elt wa
Tour ews by thie ser aloo has Ben insvetigater Sor varios

fos of ine rae svt” Fue real ei ie tha Ios a9 sa
feampared to The ely cure Howse Fig, 1 Ui 2 uy be iy
ge fica ime Chessy th nerrace inedy eee
Tues, nthe Hae the nce iil oa cig the wa, Bn

2 fet of Whe Pesan

Ve ang “ner a hs hes iss a sl eae
gave hi hv laa lifes. says Fs lorie emis rae race
200 tae RL exmune mnenes aus ny ANNE 0

‘sn the outed to ta ayo ‘Ute le wal eras wad all
unrent loses ase increas, Ir wit, he ate leo Foe a any

satin g moter. roses levies Ms a bt ie i
Tell uf the ereuburoer tiv ssve, Ff fect can Be cated
swith seen printin Te tos Kerb fe ena

srg with c die Ti”

“Again fue he He flor elt layer ane ae sta
eoanpuzed to the wily ear! las thal they oy he eee

Nhe af neg ie wie, aml ste apccig bros ingclation are
therefor te-rine e c fet o 42% a be eH he
AO Fig Lo oped the yoning the memoces of wee shoud 2 las
"To inrovge tha efee of u rele ur noid sw urbe ary onan
rnc renee shoud he widly se! The era in i le
lei wave es fom Fg, Datei 123 8 Hil were, to ste
Ir of wees on thee eng

“The proving soussion as ure ey Ts le ipso
vend lx ware. eee hes 9 Tas ently ae
rnp, One importer in aatienae hae been mes cea m2
Zaveb rials ut he's envi ed Rp ell T.anboas Labors tie,
Frais imerte fw ily lm wind ng,

‘de frame the ie pie’, single Cur ofthe tei uray not in a

raneveae pla, ssl inolved sd forma a mal. amg # with
the asis ison tr fusseasal nding abtvel nich at aumaie ed
fern hus no ctinly ining ees inition

‘els ulna Tels ver so unde sourerson, Ther sineple
voy ane jae iter ele save province saves
(Sh mocunitosuly tel sind ng shite sus of pots na
Fatioas tre wee, Chanter a ese ix wawrgride, a seni of
thish ere = — O wal = — 1. bor bem cafacted in sw eobitacey
Tanner by ost ny shut Pig 3. Wish whi deletion ie acid
Shorey of euide Cvetiry dete ul fen gent deletions survarae
View aoa,

‘Que sy te alsa pronation temas thi etwad sein Sst
tp the formviie fie wae propegstion in the curved bes warez
fi evalua Hs fr Ure sures debian ee has chen

Mead wkrail's rnalr an? te

pain fs dsseribed by
Serene soup et ieee al ae oe
eign sonansNirs AS FREE wayrantn ou

of ft order eiromaleencial epeulence (2. UE, andl TMi). The
eigen

vhs lh Ihe ta aang it 3 the maa
Irmmagatinnencatont of tre compen nvale wl be — VP = (EIR
fee axial propagation conga ofthe coupled spade a. Nis no
ation face forthe seule male gion by (23) on] aad

platheh on

where — 15 the peal ns

Ande tof unit anole idl a went power in tae
fret ote fo the wae mdm, Roe gentle delet the wp)
thideund peu mecew ats =F Eegiven by
2 ee mu svete nacusieas suuuat, MARCH

wim f oben ne wy

Another sy Wo ealelata mepagaricr: through the deeeted. sulin
js Wg eonislr ib a outinuey eee waveguide with a eortinnnaly
Varying It # ofthe winding, Het the ase aod Ue ll B — di

iT hen es aging bese a iene lees mode m and nace x

Sey et drafter The song tert fo
Chaos ht Bt
oh

wa ESE sae

“The voplrg entivent for tld inding i il alr

Amplituge and phe of ova ick; we we giv ye

noaef (eee)

Pipa: 00% shoul sv she soe rl a (03. Interecing by parte
Fringe (10? int fru Ua ty omnparel wth (6

410}

ne (Ge ti Oi aon
Azqutins¢11) a 68) roy gle eal ree when

f ‘
Rome TR

Hence tho covpling soviet fo etd winding ia
G

A

=the met an

Sabri froma 1) wd (8) ines (123, al Fos (12) inte (8)

i)

[Wah these counting edits, genszlied selexruphits eyuations
leinmie soa Es ae WAYROEIDE 133

‘oun be writen doar tor the bel waveguise wi tilted winding, ‘Thee
‘lation sess propagation in tk oiligusly wound helix wavegie
ompletely. Fur eanrpley ts mide of ait anise indent on
lens Zo helix egies menor ted winding 62, chew

‘onal awplitade ad plas of thie mode av ie given ro aceon
le by

af Efomu foment oa} ov

“Th summation i (14) isto be extemal wat only over ele mae
Thal abe over Heir tv plaragtogs aero to th ork tion oi
ray: ot ony bein the plane of Fig. 2, 4c aso ke nerponicla
‘hat laze

"Bron 18) the Toss wish raed to she mae bya Ue nding
ye calnlared Wi

iby — Be) = Sen 48%
and

Hi,

heated los cones ve in 8

cel

oh

(Pr = Qo 382)
: ow
ff wonme tae

"The oblique’ scum ex of the yreonloy eion ie juss a eer
cease of a gonend regular wing. [4 Fig, a tun of euch ar slice
Tis hee been din in ore det Ase fogs a mall pl I wine
{allows the me

+= etn act e069) us)

around the vrsunfinense. Its dtotion devntes hy y from the trans
eres dino, seve

tay — tan Ong
cn to rt one for sal ti,

f= bain an
(4 um meas, avarane eReRRTENT sOtTeN Ay MR oH

v-E tn os)

Amato of pal ona dn mst it

ig ta am

Bem atte 2) ow em

ese the lipase th oe kt ot gh
The tn sree err

coavrisg Svat can
$8 Ae, ay
Oe A le (22)

ar
fe runnaens 1 TAN wea ro

Me ay cn
sar rae Mm
22H, ww
aut, _ at
Me OT jae
1 Lat, 16)
TR ett) = OF — nt re
ito generalised ickyrplat’sranetions For the boundary eoitons
gy end 20
"An appropri tebe? pment texts of ro wales
the pert: hele weenie, With tc ate of ave eons

Be = Nadya 4 pe,

Ty = Nuno) 205 pe

whi tiny lave equation

er os
ti normal ese Go he et es tie mo ntl
ir the
n= Er eek)
En (ht)
ae gg heat
Enis)
noe CE eh
wy esting 21 (28 ad (26a ig (28
he bE vans
fe LAE
From fy = Wt he pot ti
6960 nnn EL. SSE MHCUSICAL SOEANAL, MARCHE 1B

Balad

a= plat a
nd rm B= Ziyi i pe hei
a DS cS)

‘quetion (#2) ie the characteristic equation fr th peeeet bel wave
tees Tle role, = aye eersvne the propagation opstante

| hex te 6 bo on
n= gt [a ara ed

(om

1e(-8) xCh-s)]

“Th inteyeal in CH) extend ver the crus set o He ges Bon is
the Krsuecker amb,

"The edepencienee of the voltage and current coetciente in (20) is
found by sabetiating the sue of C20) for the Uransverse fl come
‘ponents Maxell muons.

ld
Ao

ios (21) al

Lat
ee
sine (2 anita Umi of ie Ug,
ev

Bee hE 1, Fu wed

Be

Ae R)
aK [gma wyia0

a8 = op DS (20)

(ont re 4 8a rt nS,