Report on designing a dual-mode conical horn
Citation for published version (APA):Siswodihardjo, T. S. (1967). Report on designing a dual-mode conical horn. Technische Hogeschool Eindhoven.
Document status and date: Published: 01/01/1967
Document Version:
Publisher’s PDF, also known as Version of Record (includes final page, issue and volume numbers)
Please check the document version of this publication:
• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.
• The final author version and the galley proof are versions of the publication after peer review.
• The final published version features the final layout of the paper including the volume, issue and page numbers.
Link to publication
General rights
Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain
• You may freely distribute the URL identifying the publication in the public portal.
If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, please follow below link for the End User Agreement:
www.tue.nl/taverne
Take down policy
If you believe that this document breaches copyright please contact us at:
openaccess@tue.nl
providing details and we will investigate your claim.
RE-fORT
ON
TIESIGN1NG
A DUAL -
MOTIE_
CONICAL
I-/ORN .
FORE
WORD.
'TH\S
A'R"TICLE
DEScRIBES
BRIEflY
IN
J>.E51'iNlN<;
A
"[)UAL-
MO])E.
CONiCALHOR.N.
AS
THE
l>OM\NA/'IT
MODE
IS
TE:. H ANDFOR.
A
ASSOC./ATED
"PARTNE:R."
MODE:
-' .
.12..iM"
)
<.
A N
B E
P
-Ko])
U
c.
ED
BY
P
E .-LJK B
JNe::,
THE:t>
b-MINPrNT
NODE
IN
A-NIRIS.
'B'\(
VARy
INC;
THE:
HOL E
OF
THE:-
I R\S
WE.
ARE
ABL
F-TO
CON T Roo
L
THE
RE:
L
A
T
I VE.
AMP L J T U D E.S
a
E T \y'E E. NJ
M
1\A-
ND
TEll TOGj
E j - A"D
E SIR'E"bRADIATION
PATTERN
7 PRL:>VJDE1) i H A T THE:CEN'ER.. F-IEJ-bS FOR BOTH M0l:>ES PrR.l: jN
PHASE J N T H E A"PERT-l.JRE=-.
MAINLY WE. DISC-USS FROM rHEOR..E'IC,.qL
POINT o f V I E W , J>UE TO THE ))\FFIC.ULTIE.
5
IN
c-,
ETT/tJGr THE PURIT~0
f:: T~E MO'"DE foOl<:. OUR. M E.A SLJ"E.
I'-t ~ N . ,S. •
OUR... SINCE-R1=
THANK.S.
TOPRO
F.VA N
J RI E.~ A-Nt>
MR..
J
E U
KEN
FOR.
T H J= IR. VA LL./
A-
~ J...E
AD
V) C E:.S
FOR.. H 4-AJDL
IIV
G
THr::
A8:.0vE:-
MeNTIONEb
\Tt==~.EINDHOVJ=..
N
- 1
H,
9
OCT B
T.~ ..s'S·WODI
HARD)
0 INDe:. N E S / AINTRODUC. T I O N .
IT I~ WE-I.!..
KNowN
THATTHE..
c.oN\C.ALHOJt...N
oPeR. AT} '"~ ItV ,.'""l
e:. ])
0 M' N ANTTE: ,\
M 01) EII
J\JC.IRC.ULAR. WAVE: G,UIDEJ HAS EFF1:CT\VE.LY
A
TAP~RE]) APE~TURE J)ISTRI &aJrlON IN THE
E.J..EcTA-IC PJ...A-NE.. FOR. THIS
"E.ASON
I,.S6~AM-W It::>TH S I N THE...
E:.olE..
C. T ,:LIe 4-r-JD N A ~ NE:..,
CPLANES
ARE
MORE: NE:.A~LY E:<t>UAl- TH4N' IH 0
s
1:= W J ,...H'
A S9
u
A
1<-£ PY
R.AM'
D
A LHOp...
N
-. A VALL/A~LE:: FeATuRE. FDR.. -PCLAR.J2....4TION
b/VE-R.$li)' APPLICA"TION$..
41'J
Al>b,TIONAL
RESUL.' o f THiS TAPeRE..]:> E:LE-C7R.JC-PL,tJ,.N,E:
»'<;;.TR.IBu,/c!\J
IS MCR.E FAvo,Q.A;e::.LE=.. c;.IDE-.LO!.eS T ' " U CT U R
c::
IH A-N
\IIII IH
THE
S
~ U J+ R.E.. H 0A.
N •HOWEVER.. THe. CON\~A~ HOp...!'J IS NoT OFTf!!..N
USE.D
TI V E:.
IN PFt-Ac'I/CE ~ 'P.:>ECAUSE: oF- ITS.
"1!.LA-INcOMPATI~IJ-IT'( WITH p..~CTA-N6.,LJLA.R.
WAVE. ~J-1(bE.
ONt=. OF- ' H E IMPOR-TA-rJT
Cl-{A~ACT.f:1-R..IST,C-:> o f He R-N ~Ab/ A-TOP-S FoR.. 1'1.05"1
A pr J-I
c...A-
T / 0 I'\( S i S THE.. ~ ID
t:. -
L 08.
E::.-
L
l:::..\Ie.
L _IT'~ JM"O~TANT I N A N E C H O I C CHAI'I ~ER)
),.r-JTE:.NNA P-A-N<:;E .-'\101) S T A N D A R . b ~4(N
APpl-/ C 4 T I O N s ) ~EC.AUc;e. OF /'1A-N'( cOrJSf'1>E.RATIONS.
1#11 Ft.E.J==L..ec;-o~ ILLUMINA.TOR- ) IT IS IMPOP-TAMT
beCAUSE O r 1'1A-I1'J-~E.AM F-J=.FICIE.NCY AND
SfuR..IOUS WID E. - A- I\J ~ L
E
R J'r-t:>
JA-TI o N E: F=F Ec.
T •
F 0 ~ T t-f E.. L A-' I
T E.1::... A-P P
J.-./c..
A-T I0
tV
)
E .L- E C 1'"A.'e
'ANt::> HA~N~/(C PJ-A-NE- PH4-S€:: C.E:..1V""l!.~co
ItV
C ' DE:- Nc
l5.
ISAL..S
0 (:)r.
11'1 f" 0 R T 4NC
E •FOR.. NAf\J'(
PR' fVfi I P
A-'--A r p J - / CA/ION~)
Eq>UAL../TY
0 +RAOIATION
C-HARA<:TERISTLCS of=" T'He.»UAL. - MOJ>E CONICAL.
x
HO~N. I IR
:
:"
¢
I . " ...-t: 'If.
i
"
.
,/~/
z
~A-']) I AT' 0N
coo ....
b'N AT'E
'S'<"
5r
!!. "'" ,THE ~A-D/ATION <.HAJLA-C,e.!'.IS'IC!> D~ "THE. J>QHIN4-NT Te." 1'101>£ /JirNl> THE 1M" IN CON'<:4J,.. H.Oit.~S AR..E woRTHY l>c.TA-'JL.E.];> c..ON'S\1>E.fl..A-T)ON. BASl:,.b ON
WOR ~"( cHU ~ILVER.. 'I>EVe...J-OPEJ:) T H E
)
~A-I>/A'TION F:.uNCTION5 f:OiR- O P E N - c . . N b C I R
-.e.IJLAR. C~o'SS- Se.C.TION PIPE:....:> AS-Sou M
E:...l:>
TC>~E. E.qU'VAL...E...NT TO A CONIcAl- HOR.N.
IN TH'~ A-NAL.~S)S THE.. ~OUNDAR.""( ?I'..O~J..e.~S
A-1l.1'SIN~ ])UE- TO THe.. APe..R....IL.lR~
p I~CON T I N LI
' r
y
A R..e=.
N E. Gj J...e:. c:.
-,-1::...1> •THE.. POL,4.R- AND
A-;c., M
L.JT}-fArL
C.OHPONJ!:..vrR A- 1>J
-+..
I 0 AI f 4 l" T E.. R.N
So 0 i="T
E " NOb E )4-
R
E G)IVE.N ~""( 'S.ILVE..R.. A'S FOLLOWS. ~E
__
~//+e
H~R
l
W/TJ-f TH~ PrS;SU~PTIDN THAT ISr
e.
f' p. Ec..
T L. "(1'1
Arc
1-1 E:. }) TO "'HEAPER"'URE
S P A C E .:: PE~Me.A i!:.'~IT'1
l= ~EE C;.pA
c..
E.() F 41Ft.
f~o f'A ~A-TIO
I'J
<:0NS,PrNTFOR.
T....1:.
1M
11 A c;. I=-0"-.~ ()'kJ S : I H E A~1!:~-ru~E. 08>Se...Jt...VA,.,orV POINT PATTE.RoN
SILVEi<.... R Prt> ,
LJ ~ () F= A.p E ~T LI R..El
~
'"" 0~
De.
fit.a e
SSE.J- f: LI He T ION 0 1='~
H~
F-' R-s r K., N l:> "l- PEFlIVA-,IVE O F ) ,
~'TH
Re.SPE.CT TO IT.J A~G;>UI'1t:=.NT I.B
""i
I POI-A~ A-!'J6)LE A Z . ' N U i H ,A.N~J-E DISTA-iVCE FROH RA-l>/ATION '>IVEN t!:>'( a... ::},
=
} , I=
K
C\
:::""""
~ ::<f
::R.
::.f/~ =
THE
POJ-A R
Mot> E- IS- vi
k
.t. -K
IIE ' IQ')
AND (3)
A
~ 1J\iIl..A/it.,T'( JE..
Jl S 1J)E.-1.0~E E: ~ LJAT 10 I\lS THeiLE.. ISTM"
WE. c.ot-'\PPr~E THe..
IS EVIl>E.N"T TH AT i H l :
E -
?LANE If-IT IN STR.LJc..,.
L./R.E.
TH I ~ ~HOWNAS
E
f)E.
WHe It.E
c..os
e
IS p.,5>SLJMep 1'0 &E U~'Ty'. U.==
k
a.
':>~ ~
I FEb-I-(
WE
Nec:;;Letc.T
/irrJ
J>
1=lie
THE ) Tto1E.c.
0 N SoT; ~N T ~E S.ULT ;-E~MS'S
INE
9
~FOIL
LA-Il.<.}E
u....
I ~/
L
Ne4-~L""UNITY)
I -
[1<,;;.
~j ~
[~~J
THL.45
Ee~
~ ~¢
)OR.
E
-
t:
~ ~cp
l~J
"e.
ih-.,
IT l~ C"L.l:.A-R. T~A-T Tt;OS'C. CONJ)ITIONS ALL"W
,.HE. :POS'" edL.II,,( OF: SI'DE. -.l-Ol!.~ CONCJ::.L.,LATION.
IN ORJ>E.R. TO pR.E.1'>/C-r Tt-tE..
f~R.f=.O~MA-NC'E:.. Of::. Tt-iE.. »LJAL. Mb"DE. CONICAL.. HO~N I N a/--i
E
E...
J-'C.CTR..ICPJ-A-
NE:.-
')
E'!Ll4T/ONS
('J
A-N1>
(30) M 4'{~ £::
<;'1 H PI-I F I E..}) A"N}>x
WHE.R...E:
ltJ
~-
W/M..
/), ' ( k
ue
Q.)
A1'81 TR..,4fl..'( CONSTANT,HE.
R.E-L.A-/IVE. fO\o\>E..R-T E \\A-
N )) TM
II MODE
S .
DE F-I N
INC;
, T
-e.e
c.
0 1'1e:.
s.
IF-WE
~~I.J"p,.T'ON(6)
,
h
..,.
C4-31?
L
\
+
p"...
~
9J -
0(
_~k
_k
J _ (KIfE:.J'l
Ie ""
9
Of(....IN
A-
c..E..R-,A-IN V ,t+l-I-j E . ACCOR..l:>IN6),0
floT/7:=.
R.
0<...:::
0.653
W/J...J... E
Gt
L/,4 L./ ~e
THE.."E:.
A-1"Jbl-l
~~ANE.HA-J.. ~ Po
w
E:.R...
P-:. EA-M
W IbTHS
A-N 1:) I'-f A):::'~ P H A S E C~""TE.R.S CO/NC/~e.NT.T HIS
c..
0 N J> f T I D I" A L S 0 THE M/rJlf'-1L11'1 ~oSSI"!>J-.ER..E:::.SLlLTS I N
MODE
~ENE:~ATION.
1
N 0 ~1>
E. R T O o eTA IN 0 PTJ1'1
UIi
ILL LJ MIN A., IONAI
iHE:
APefLiLlR.E
OFA
DUAJ,. MOPE. COWIC.AL.HDf{N ,,. IS Nt=CeS51'\~Y To c.o""~oJ... THE
,..EL.4TlvE
It-r-tPLrTLI.J>E
s
~rV1::> f>HII-SE:.S OFT
Jot E. .,€
/I ,A..Ai
.D T11 "
/1
0
PES .
7
H E N ()
J>E.
c
01'1
-~/"'.4TION Is EST,4
81.
(SHE»tOy
€.><C("'(N~THe. ])OM/(vAI'IT MODE. rEI/
//'1
71ft=: C/RCt/<'~iiwA-vE..- ~LtI.J>E THAT Fl3.e..DS
TH;E
H()R...N) A-IJ.J)('OtvVe:.R-TIN~
A
rA-iR..T
bFT H 4 i
S/~AJA-L...ro
fRoO rA-<) ATE J N T I-(
£.
T/1"
M
0 1)J= I~ '(INTR.ODUC/NG, Sl..JIT4/3LE... rR..4NS/y/5S/ON
I-/NE
PISC O N
r /
1\/'-I I Tr
(IV ., )-(£.
1/(C / /U I .,..Y
()
F-
r
I-(E
"V A-
v
E
<;
'-I
I!>
£=T o e 0
Iv
E. T J<.A-AI
S
I / " I 0 /\./ .rH
E-
c:;
E IV'E
A-AL
~E
CY
L/(R-t: ,..,c
/\/7'7"1-14
T
A
DIS CotV T I .tV L/( r '(
8
.E
5 l.I / r;lf-aLE:.
F"
R-/'f
o.pE
c.
0 rJ V f!E R...os
I C> 10 A- ~»
E S C R..I13
c
];> A-B
0 \IE IS
T
HATI
r
f>
E
R..
i/..I
R...
&
s
T
Ii1=
/
IVC I
j)t=..
/1/
T
Tj{.~NS
v
ER-SE
e
l... EC ,!<.(CF
I t=LJ:> I N S 'IeIi
A
"'14
Y
A
5
TO PR-Oj;)LfC EA-
c..a
f-tpo
NIE.. NT
OFEL eCill-fC FIEL.D I N
7f-ft=
":PI/{..ECTfO/\/ Of::rR..o
p4- ~ ~ TID A1 . THI S I'fA- '(
e>
E
Po
N FP.>
Y
INT/<.{)f)"C.(N~
4
CON DLfCTfN? Sl../I'FACEr~A-Ns
VtR..SE
TO
THf3 j)/~t=CTfONo f
P~o-PA-~AIION ) IN INI-t;CH CASE 7HE... COl.lf>i..1f'/Oj
4~/se::S 7)/~€CT.LY P-KOH
THE..
F/l-Cr
TIiIJ-']-THE
CO,..,.p>oNENT
OF EL£C.71l-IC F-ISL))JA-NC}
1==#T ToTHE.
~'-tI{I=A-CE/'1L.1t>,
VA-NISI-/ ..r
0 ~ I=" ~ € Ai FRA-
L. '-
Y
uSE
F
t,;t.. ;) r
HE
N
O'p ~ <..0 Nv
E. R..S / 0 AIc
~N j:= / ~ l./ I<A-
r i O .AI I~ 4(S ,.
P/LOVIDE CONT.R.6Ll...ej;) N.op~
CON
IJER...~)CNOIJE~
4
LJS~!=LJL
"A-tJ~OF
r=~E'?(./!::NC)E:S~/ T J-I 0 L-I / I N T.R () D LI
C
I N9
SI<;
IVI ~I ('A-AJ
7'1
IT
IS FURTHERRECfu'REI>
THAT THIC {.t;:I/J'tIE1l.Te:.R..1)1S
c..
0 N,t
N~ IT Y ~ Ec.
IIl..c..
LIL..4ilLY
50 "( H I't t!. T~(<-
J 80 T )-j ro f Il. Eve t-J I Exc,
T A r I 0tV
0 F LJ N W A-AJ re
.J>
,..,
01>
E SIrND TO fE.~HIT OfE~4-T(ON OF THE 1>lE:VIc...:E
F-0 Ft. 5 I
G,
NA-
L S ()F
A-R. l?> (TR-A-
~r
t"0L
A-R. / ~ ~,.I0
tV . IlllS ~ TE'l_.
e _ . _ .
Til" ~ ~T~I/ ----&....--""'--f)~,4~'/!JRT
LI~
E
IT
t-fA
lit ,.. E E.N
SI1E FE.K IH~r
IN , H E IR.IS
J>Efl.lv'EP 6'1( NA-f;,ELSERr.
rl-(~ /'1DbE CON lIE.R..S/ON
I S :
~
I=
7Tk
a..
c
=
Ik -::
C.ONv£R.SIONF4cTOR..
P-..AvluS OF CIRCLll.A-R -V,,"VE ~LJIt>E.
F
R IE.E.
5 Plt-c..E
1;oJ.4
V£ L-£
N~TJ-r
r ,.,
II hiA- 1/
€ J-£. N ~T H
I Nr H
l=-e
I f{ C '-IL/J-R..
.,,; It
&Ie.
<;
1.1/j)E
7 It E. LEAl6,
T
r/
0F I R
J
s
t=o~1Y 4 L.4
,4s
S L./N P
7""/t:>N
Dc. C '-I R.E.D .r
N 7HE. ,4. B 0 \I F LINDE. f{. TH1= <. 0 N \Ie
R-S / 0 IVC
I /S11"1.4-
T \tl
L
1/)
(I
=
\
E
r It\
l
r=
ct
')Cf
-
oj
E
rH
E
-
R A.DIA L E L E.C rR./C FIEL()COHFO-r&
-filE-NT O~ TI'f"
E
=
i<-A-T)IA-L
E LE
C.T~(C,F-I
e
L
.D
r"H
(O/1po/\JEI'II
o f
rEiI
IIJ
Tt-f E DE 5'~N
c,(
-
~,
IT l~ JVECESSAR.'"f T e ~.pt=.c...,FY COND/r/O!'JS
,4.T THE. R-/t.bl JrT IN6,
4
PER 7L/R.E:> SINCE. /1'- If,;.TIiE F= IE L D DIS T
R..
I8
'-IT / ()AI
~T TH / S. C.R.. " SS
~eCTION IIVHlcH DE.TE::...RI'jINE= S
THE..
FE:.e I:::>CHA-~.4c"'E..RI'Sr/cs. IF
I1Vt=..
L E . t Tf(F Sl.Il3sc.R.IPrZ
t>
E. IV 0""E
CON J) I , 1 0 N..s4""
TI7t=..
A-P.e..R""
i..Ill. ~A-ND
su8SCRIPT /DE
NoTF cONDJrJONS4r-7HF:.
cRoss
S€CtION J,ifHlER.,..F CONV€.J<.SJOAjO C C L l I { . S ) THeIR.
R.eSPecTIIIE
c..O'£I=-F=IC/Srs,,4. Jil.. E.
!'<.
£L
-4- '.
£.l:>
B Y
/
{l!tJ~
I]
[L-/;J-
z
O
ol1}-if
L'lJ
c.,t -
MODE C-o!'JIIE./!..SION F/f-CTOR... AT TH&ItPEIt.TuR.E 01= 7"'HE C.OI\JICA-L
HOR.N.
c.
I=
CON IIER.S/ON F,4crOR- 4T IRISCUT OF=F
AT
' H E F Re
<::y
U t= !\Ie '(0
F c-R..oss. SECTiONTN
II
lNHEiCt!E.1'0 J>Eit.IVE
f"Ofl-f'1'JL.A-.4-SSLtl1P7'ONS A-~E.
y::. 0 J-L-0
W
I IV6p
I. THE PO"'-lE:/i!.. Ti<.4/Vs/'fITTE:.D IN EA.c/-f HOJ>E
IS <"0 IY~/A-N
r
": .
.e
THEHOR..N
,s.
J...OS J...t=S~>
A-NJ) NO F=LIArHeR.. CONVe:.K.-SION Oc-~LlR.S.
Z.
THe T~A-NSveRSE
f:.LEC7il.O /'fA~NErIc. t:=/~J..J:>JA-
r
A- NY
<:..R.. 0 <;S - SEC
T IoN
0 F A N4
R..ROW-A-N,?LE c..ONICA-L HORN 4fl-1= 4-PPRl>xI114reJ.y
THE
SAl'1E
As. IN 4 CIRCULAR.WAVE
~L/ID~ "'-JITH
TH1=
"S4!'JE
R-fJr.J:>/~SA..S
TltEc..R.~SS SECTION.
3.
THE A-PER TJ.lJ<E. D/A-NErER.
I~ MucH "-4~<;.eRT J-(
A-N
T J..{E.c
4 T 01= ;:
DIA-
1'1
E..T 15
R..
r
0 R. I I'(IinoDE J
So
TH4T t4r THE. 4PER.TUI{e- 7J-1Et;L/IDt= WAllE LEN~TI-f ~ OF BoTJ-j NOl>i!E
S
7'1"
4-N D
T
I=: /I A-R.
/=4-
PFR.Ox
I!'14, EL
Y
E't"A-L.
T O T
J-f
E
1=R.
t=£
S
P
A-cE.
t.V
4
v£. L €. IV~T"i .
PHA:5
E
IN
71-1E
c.
0
N ( CAL
1-10
R.
N .
AJ...TH,CU';H THE C.ON~ER..5/0N F4c.TOR.. A-S DEFINe.,]) IN { II
I
A.E.F=E/<S ONI-'( , 0 THE REL,tJ,.IJVEA-HPJ-IJ,L/DE:.S 01= THE. rrvO MOD£:S
~
ONE SI-/OIJJ..bIl.ECOe,N/~E TH,Lfr I T I S E~lIr4LLY II'1PORTA-Alr
THA-T 'J-t£/~ R..€l...A-,IVe. PH4-S£
S
47 11ft!: I-ICJ~NAPe
R.
T LI/l.. Eto
l5.
K j:: Pr
j,.JITH IIV
TO
L
E R..A-
8L.E:
/...1/'fITS Olll::~ TI-I/E.
PR.:£S
CR.I.B£.D r=R..€ 9-IIENC.y ~IF
~ l!E.Ass
(.J1'1
E
TJ-f4-1
T H
€
R...e.
1.. A.r
/I/e
PI-I
A-st=
4 ,.
THe Co /IJ /IIE Rr e.
R..
J>15c...
0 Nr
I /111./I ry
J5
F~e
'l. "..
EAlCr
/NPE. PElt/DeNT) THe N THlE. ER.R.()R... IS .:I>LlI= 1071-1E
PI J:. F= I:E .R..£. IVe E . l N
!::.
LS CT R/ C.-4
L.. i..'=
N<fJ
r
I-j F= 0 ~'HE T"VO /'wtoJ:>€S AS THEy PR.DP4~A-""'i2.
10
POTTE.fl. HA-S. J>EP.llIl!!!J:> THE ~OR./'fLiLA I=O/<'" TI-IE.
DIF-F-ERE.NTIAL- fHA-Sf=. LE.N~'"TI-t OF THE CONICAL
HOR./V
~oR 8o"TJ-1 7£1/4/\/D
Tit"
!'10])€~.) ~:.-i~ ~
-St...ZJ~
L
~~
C;)
"-J.t .".
.tA.
.z.
'"
1TA.o
Afj>
:: ])IFI=£ Il.E.NT/A-L PH4SE INWA
liE: J..E.N~r H
Fa!?
H
7 !'fll JtNt> r~ 1 41
II TI-/E C.ONIC/fL
HOR.I'I
Y
::HORN
FL A-/Z
€.HALF-
A-IV'~,L.E.
C
E
=
3.2j~~C
H
::/
.
94/
A
6 :: FR6.~sf>.4CE
W A-Vl: L E..N9
7)-/Cf
-
K-4l)IL/S ()~HOR.N
THR.OAT
1
q
::: R,4l>ll.ISOF
A PeR
TL/ R.r
TO
A-N
INc..
0 f'1 P E IV S,4T E.ACP
HA-
IV ]) THE. / N / T /A-
LI'
hAS
Er
~II
A-N.Dr
/'1"
/
Nr
/-t
c.
/
R.
IS
~ ~.
)
W
E-(
A
S
0 -c
4
L J... £:. bP fi
-4
SING;
Sec. ..,. / 0
N:>
A"~ex
,l:I\JS/O/\/ 0F=
CIR.CL/t..I+R.... VVA-IIE C")'-IlbE I=R.AC7'"/O/VOF
hlAvt=" J-~Nt:;rlj.If
IT HAS. 1>E.F&-IVEl> ALSO
PHASE IN THe.. B ' (
P
OTTe
R... ) THE
PHA>IN(;] SECTION) I~•
.
:::
Ac>
a.
I[L
a.
..t. I-
."l.t
D-
-
1>JFI=E.P..E.NT/AL
rHA-'S,:
J..ENtt'1f
oF"fHASINt!, SECTION IN WAII€.L..ENC!;7'HS
PIER IVA-liE J-€/V7H.
HENCE I T I S Tf-/A-r- .
)
RELA T
ION
I<.
)
THEFl--ESPF.:C;P/F=-;-H€.
A-PE:..R,TLlRe
FIE,-bf\tOJ:>ES
A-Rt=
It.) P L.0 ; T".J
6t
IH
E E~
U AT' 0 NL
9
J
"Jd... -=
o. ,
Sa
I~ THE. 1'105; IN TER.S5 TIN
r;,
V/+-LL/E. INITJ-I TH,4rV~L.'-IE IT N I L L E
'i
L./ALI2..E '/-IE E A-I'JD /-( PJ.A)JEH,4J.F f>OhJE.R.
Be.
A-N ...v1l>'H~AND
MAKE
THE
PHASE
CeNT!!=1<~ C O I N C I D e N T . THIS C.OAl1:>I7'IOl\.jALSo RESulTS I N IHE. f'1INI/'fL./1\-( POS'SI ~L
E
~ A-c " J- 0
BE.
AC.C.ORD/tJ~ '5'L\lE COI'1PONEI'JT'5 Of: TF= A-A/])TN
" . IIE
r...,
t7
{K,'/1 ..)
~
¢
r
11.
IN
THE
ArEP..TU~E TJ-fEHOPe:.
&E.TWE.E:N Tt'fE-
TWO
MOj)ES\ S
.
•
["J
filE
~~
k,t
FE
a.)','{
} , [Kill(
KI/E~)
4. /'F
E~uA""/ON
rH E
R.
e
50
'-ILr
l
'bj
1
~
I S ~ S~BSTITUTE.DINTO
l
rJ
\
C~
-
VI
K,,:
D(
-k~WHERE
K,tE
-
.:l.,JrAC
Ek.
-
:1,.TrAc:>
I:T
,50 EVIPE.NT
r~AT•
•
\
c~
1
L'
1J
=VI-
----
AO
D(
A
eF
'WHEN
WE
Sl/BS.,.,
T'-JTE
I I
BeCOMES
•
.
L'T
j
I
tJ
Tot
1-J
e
/
V
IAO'"
0<..
_ _ _ _ _ _ _ _.;..;:A~c..:::e:...__ _~{J[L ~tr-/JU ~)~q~ri}
13
MODe
ope
RATINGt Cl./r 01=;=WHERE.
c. -
I-f :
1:
c~~
AT
C.ONvEil.S/ON FACT()~
IN
IRiS
•
F=
~ E.q
t.I E.I\IC~F
/{Eq
LIENC
y-
0 FTN
'1
THe CR.oss S~CIION WHe.1Z.E.
~=
C
c> N V ER-
'51c>
N OCcull..
$FR.E:E:
Sf"AcE
wAVE J-E"'~;HcuT
O~F=- hlA-VE L€N~rH.,Or
rty
IICONST/trJi
VeFININ~REI-A-lIVE: POwER IN
..,.HE
11'11/AND
TEllNODES
As
INL1)
C A tV C~l- C. '-Ii. /4,TE
co
t= 1=1=tCtE tVTOR-IN J R . - I S )
TO
PA.
TTEte..NAS
1 F TI-te.
F ~ E'r
1.I & NCY
of...
1+
IV D THE CR.Oli "5.oS
liC7""10 N)
IN CONICAL HORN ) ~HE./l.E ,fiE: corvV~R:)/ON
o
<:.C LI R. ~,ARE:
K N C>W 1\1w
E/..ISING,
Llc9j
/J-tE. CONVER.-S/OtVTHe M01>E C.ONVI!!!.R.SION F/tC/OR.
G;t:=r
A
J>es/Re:1:>
RA.D/4TIO/UST,4--Te.]:) IN ~AG,E
O.
IT
IS oe.V( OLIS THl+r THE. HOLe. OF THe. IR.ISC.OM'PuTEl>
.E.C\)
WATION~
[,oJ
&Y M ANI
pul-l+rlNe,
A
NJ:>
l't9J
ME:.T
HoD
NDDE.
DF
MEA~UREMENT
CONVERSION
FACTOR...
OF
IN
IIU5
WHEN R-F"
SlG,N~L
\5 f'R.C>PA<;ATeJ> S/MLILTANE:64sLy'
IN THE TE:\I
ANt:>
Tl'1
11
MOPES
INA
cyJ..JND/(IC"LW
fit \/ E:<;
I..{ I t> E. ')W,
EA
s
~ <..J f-tE
I NT
J-f I S.c
J'\
S
E
THAT· OTHE.
R
MOPE.S PrR..E...NOT
PRESENT)IT
15 YOSS/Bl-E
ro
DETERMINE THE R..4TIO OFTHE A,..,PLI rl../J:>t::: O~ THE. ~A.J>(AL ELECTR./e..
FIELP COI'1~ONENrs FOIZ TI-fE
,1110
!'fODE.S.
$
I
N~E
APR
0
B
E JNS
ER...
T
E
P I N T0
A
'-VA
v
E
/Ai
'-ENG, TI-j,;)
T~e
\IV
A
v
E...,,""bE
FieLD WHICI-( IS 'D1R-EcrEJ>
ALoNta,
lT~ONJ-y THE R...A?>/AL
COI1PoNEAJTS
01=E 1. € CT R..I
C
11
eC
To
R...
I N cY'
J... I N D,f.1CAL
NEel> TO
AE.
CONSIPEEK-ED.FOR THE:..
r
1'1
II 1'1 0 DE.)-r
H E.R. A-
J:)j
A L e 0 N PO ,.lENto
F- T" Ht=.
€. L£:
C T R.I<::.-F
I ELl::>4
r
T}-fE. PE~IPHE"..R.,
r-OF
THE
PIPe
'vVILL
VAR.,
A
C-LORDING,
TO
TJ-IE
l=ofLl'1J.1LA
:
'vV A VE
l..£.
AJG, -,
Ii
C>F
..,...,..,
/1 . "O"P-E
I!'J
THE
!-VA-Vi="
~l./IJ:>E:=AI'1Pl-IILlPE OF
11'11/
1'1
ODE
E:
E])lsT4I'JCE
Lt'J
E
-l"E
"
WHeitE..
E
-EX
-A
:: lIEE
rIi
1=
I-f
~~
)
IIH
WAVE
4-N')J...EOF
A
2-1
1'1
J..I TJ..j
A..
.=DI
S
r4AJc E
ALe>
N"
THe.
AXIs
I.VAlJ,l="
hOD£.
c:;
L/ /
.l:>
c
t... E. AI
<;
T
J-f
/ tAl
7l-tE
IF: THE
""""0
f'-tODes
ARc
$'NL.ILr4NEot.Js
L y
A-N 7)/S
HAre.f-/E..J:>
7"0
EAc.H
p,zO
f'A-
~A.,.
f:P
THe.
VJA-vE.
9L1lbt=
15"
THE
fZ..AD/AL C~1'1 PONENTOF
THE EJ..E.CrR./~•
•
Ll'J
E
-
E
+
t:::..
t" rr
H
T
Ei(~l:-- ~X-)
iLc.)I:_~Tj
(l~)
E
-
E:..
~ l I E+
E
~
cf
-e
J..'I/t
l-,-
E
HJ
F THE E:Gf
'-I
4 ..,...IONL
K.~J
Is
D ,VI P ED
IS
Y
/tNt> ONLy TI-I F.::. A-Nf'LI T"LlDE 01=..,.1-/
e.
]::.1£1..]) I~ C O N S / D E R I E J ) :
C 0 1'1
P
0 IVe
I\Jr-PH A
s
E
J::>
JF
i=ERE
NCE
7He
rhJo
/'foDe
s
4
T
FIEJ-D
13ET"w£.E.N
X::
01:-=
0
>i(~b
-
~:J
-l.
l I t !E
.L EC
TK./
<:..
R-AD/AL
TO TA L
·E
r iE..
r
E
~F
HWHf! filE
F
- ) 0 ';/Ct..)b-
~71:J
~
)"E~
1/ £.A
III-tA
-
/--11
E
II J-; D / S T 4 N C fB ETWE
E. AI
THE
,WD
MINIf14
FRoM
E
q
L/ArID·N ) IT IS S E F= NTHAT'
.J
. C
.1 71.>c.
-t-ol..)
L2L1}
;}
_.-.-..e..
A'
-
-t-
/
.;; i
:L
IT;1::
-I-01-)
f'-
~-
J
-e
>"
-
- I
~JVESMAx/I'14'''1
IF- THE RATIO OF I'1A~/MUf\1
TO
1'11i'JII'1U/"1•
FIEl-DS Me.A'SLlRE]) A T THE.
PI:
fZ-(
fHE~"(OF
T H ~ C. , R. C.U L A R..w
A
\I t= ~ U 10c
A-
N t> I T ' ~ C.A lL
eD
R
-
VC;lLrA'j E
~TA-I\Jj)1N0
w~"E K.ATID
A--N
D
~
15 J) E. F J NE
j )E.
9
44
L.=
~
As
hOD
E.Co
Iv
\IE
R..
S
10I\JF-
Ac.
To
R.
IN
t
R..
S
E
~
E
'-!
tlAT~ONS l~~
A-N!) (.2..Sj
'1A'(
8Eco""81~t!.D
Tr>G)
IV E
f<-
+
J
I
r
I S E V I1:>
EtV
T
T HATB
Y
t'1EAS
L.I 1<.../tV ~ THE\/0 L .,..
A-
4
E
OS
r
A--N D I tVl7
L-v'
ltVER-A
TID IIV
THE.C,R-C.L1J..4
P- hiAVE.
9
L/1.PerrJ E
C4N
1>erEK...l1/ N
E)
THE
MODE
c.OrJVE.R-S/oNFAc...TOR-
IN
T~/E.. IRIS.EXPER\\,\E
NT.
I
DE.s/~
N/N,?
THE
CO/'1PONE/J/S
A-LL
COM
Po
IVEN T
SA
R.E.
N A
.D
E 0 tV,Ii
E
6 ASE:
OF
9.
b
G, 1-lz
WO
F<..K.!AJ
9
F
R.E
~
C-/e
IVC '( .
a
Jf)
COMPONENTS
FDR-
MEASl.//l..IN~11
T~A-IIJS'T'ON F~OM ~eCTANG,&..lL.PjR.
W,A-vE G,~/PE "'Vt-IJCH 'SL.IPPORT $
ONLy
TE
1/T 1-/E Tt<-A.. NSI T I O N .
" I1lcRO\I'\J A-V E TIl..A-1\J S
C I R C U I T '/
,.,.., E DJ A 1'-1 E T E R-. Of=. THIS
CONiCP,-L WAve. C,'-'/DE AS T R A . N S I T I O N
II
E
NGr INee.
RJ Ne.,
" MIC.R.O\V4VE.
c::. /
K. C. 4 ' -4-
I<.. vo,j 4- 1/e
~ LI I .D If::.. J,J I T J-{o r-=
¢::::
~-3!'1/'-f
, 0 ' H I = D/A:/'1 E-TE
R
J?5
;:: L.fo.
b
1'11'1
SE~HAR...vE
'-(fA
~ !=73
FIl.OM CONiC.AL <;'LJ/DEvv
AVE
IN i t - { / 5 CIRCL./LAR.l.-V41/c
A-N D . f{. E Je
c....
T SG,ult>E WHIcH ~LlPfOP.-TS
TN"
OTHER- H/~I-fER... NODES
T H £ 1)I 4- M E T E R b po
r
I-f{s.
~
A-V E e . ,
1../ ( J)'=
,,=
L.(o.
b
CIJ<C-'-I L A
R...
JCJ
AI)
C.ON(c:.A~ HORN.WE ,A~E THe. E..)( A-M,.LE FROM ~OTTER.
IN H/~
ExPER.J"",E..NI
\/VI-/,c.1-f ,~ W R. 1r r
E... I'..J / 1'-.1 II SLof P P p... E S ~E ]) S / D E L 0 ~ E S-f:9
L/A-
L
13 E.4!'t
W f D TH
S
I ISE
~J
LJ N E HORN IIA-rJTENNA
I'll
c:
RO"V4VE)
PAe::,f=
77
/}J
ou.R.. I'\JAL
~
TR I Ti{ ~'tot...,.
~ CIAS·Gr .
C141V.
A
s.
J- .SCt-;
e:.
M Arr
c
D 1 Ac;,
R-A-N
FOR.. Mt::A5c..1R.INe.,S.
<:"1
=
v.
A ::
1'1
=
TR. I
=:t'\ Ie Il-o\V
A
V E ~I<;
N A- /.... ~ tE./\/e
R..4
TOe
\l4A../A-~L E.. 4TT-E. NL/Il-TOe.
1=R..t:QLJENCY
METt=.f<-T R 4/lJ S fT ION F ~0 M ~ ~
erA-
tV4
'-I L,q.R...C-fR.t:!uL4R-.
wAve
q.1.#1l>E:TO
S.
L
'&V
=
"
SLOTrel> I-INE O/A-I'1 ETE. ~ 40.b
1'1J'1
V~
\.IV
1<-
p...ECD~J:>E:.R..•
IF
wr:.
ASSUME T H A - r T H E OPFE:..P...ATJNt;F ft- E
'i
l..1e
IV <: y 1 ~Cj .
~ ~H
7-
) , .
HE.
C W T 0 F F:F
~ ~ t::'l'z.
L.I E N <:'1
()
F T1'1
I I A- ND
TEO
I ' N T 11E...
~LOTTE:D . L I N E IS ~ ~H2.
Fo~ C-//"ZCWL..A.R.
WA-VF.::
GL/I/:>e:=..
WHICHAS
1)/A Me...,
e:.
R....
-
'-10.&
N
I~ J ' TI S
Po
S S
J& LE..
FivE:. M 01>
E.
S
J+R..F
PROPA-
C:::rATE.."D S I-!'1
uL..r A
Ne.
0 L../ ~ ~y)
-t..-e..
TE
.
Tf1
I E )
II ) 0, ') 2,
T
1'1
I' )
TE:O ITO PRe.veNT THOSE. L-lNW/-\-Nre:.D MODES
TM
o1 )TEJ.\
Pt-Nl) T Fo /
WHfCt-f
ARE.
rJ<-oDucEl>
8'{
TH IE. PR..E:.SE:..NC E.. OF TR.ANS I TIt:JN
co
N I C 4 L OIL T A- P E:R... e..t>
w.4
V E..c...,
t.I I DIE:. F--R..
0/'1
'I
=
.1&
M~TO
cf
=l-fO.b
MI'-1)
THEC>R.ETIC4LL.,-C 4 N
B
E:.
D O NE
B '( ,...,4}<::.
I tV6r
TNE
-r
A
¥
ER....
\ S S T
R-
/4- (
~ H TA-!'J
I:> C IrR.
c
L./1..
4
Ii!...
L '(S ' (
M,'"1
E,R..IQ..1/
'S
E
E.
T
A-
N
G,
N
0 1) E."C
0 tV Ve:
R..S
I 0'V
IN
T4Pe..R...E:t:>
WAllE
<5,'-Ilbe.s
A
JA-
tVt>
/'/
E.4
R
c. L./T 0 1= f= '1J E
e
E
T R. A-Ns 4c,
I 0AJ
0f-J
1"Y1
TT
VO
L
-
JL.fN
0~-
11
A Y
(
~
b /,
TO CHeCK THE P~e.S.ENCE 61=- LIN "VA-/lJlfE. b
t'1 0D
e
~
T"1
t:>I4
ND
T£.
:t (
)
J 5 VcR..y
E.
-4
s
y.
B y ' S
t
ND /
/'J6?
A
'>
I<;
Iv4 L-
"'1 , T H 1 H EF-
R.
e
'2
L} E NCY
BEL0 '-1J <:. L.i T O r : ! = F- R'=
~ Ut=
NCro
I=-II't
1/" 0R
rJ= ,IV
¢
'i". (;
1'1
M
C(R.. _
- 0 I
C.Ui-4R..
\;y/Ave
~LIIDEA,.ND
7/-fE..N ~€CD(.j) THe::. V's1.VR..
WITHVSVlJR...-R..ECOf(..I:>ER.. .
'$E'~
,He:.
R..€COR..l>EP
~/<;N4LWHErJ-lEK
I ,
HAS
V A - R / - A T I D / \ J I N AMPJ...(fLlbE.& Y THE.
r
R. l!SeNe E-.OF
o
F- ~N h/A-Nr
E1:>
1'1
oPE
s
o
SHDR. C.IRCLlIIJ!:l>rJJflNl
e
I\IJ;> .j- ::
8
.,3
~
Ii
z.
fc. ::
1
~
Ii
';L 1= 0Po-
;
/'1
IIT£'I Y LJN tV4-N"FE. b Yy( 0 DES
THEORE: /IC4LJ...y IF NO OTHeR MODES
.IV0
v
A
1<-/
/~r /
0 tV PR...E~€NIo
TH E. KE COR-Deb'!>/
~N4 L
1-1A
S
/ tV
A-
NP
L.I I L lDE .
S H 0 R- CIR-C 4 I T/EJ:::::. E.N.DONLy
r
H I:.. LI AI k)I+/'J .,.e.J:>
1'1
0 t:> ES
i H
'=-
I A- Pe.. .R.e
.bw
A-v.e-P.
.R-OM
9
..2..3!VI""
I 0'THE. c..ONCWS/ON
,S
THA--I4R.E G1?=-NE.R-A,El> I?>~
~ l..1 /
1>
I2=...
)
I R-A-I\IS / r I oAI
tj4
0 .b
Mf'1.
THIes. l>If=F=/CLlLry c...4l...1SE$ T/-f1!E... IltfPOSS/'13IL1iy
, 0 NE..A ~l..IR-E. I"tiE r?.E.4L 1'1 ODe. CONV.eR.,.S/OI\j
1=,4c."TO
R....
/
N ' ' ' ' 't:=.
J R IS .JN T I-f I S E)(
P
t=
R..II'f
t=..
tVr
l-VE C .4 N 'T
DIS
T I/IJ ~ L.J1)1-1 'He... EE.!==t=~I!..T0'::=
'HI!:::.
INC>IV/bl...lAL MODE ONTJ-t4r
PAr-T
TERN.
we:.
KNO
W ONL-"(111
E:
AI
e. .,-
'==-FF
e:
t!- .,s.
PR...O
D L/ CE:...
~Y
..,..
H
e:.
COM ~ I N ~ _, I O , N TH
f{EF=ERE/\/CES
I. S/J-VE R-'I , HICFl.O\vPrVE. -4-NT~NNA1+
N D ]) E S I<:;
IV ' I I I THE6R."'( II ~.1'14R.CUVITZ
W 4
VE ~u IDe.3.
"
MICR.OWAVF= C . / R . . C 4 I T 1'1J-j.
NA
<::}!=:L 13
ERG,4,Nb
$HEFER.
I I1-1
0 D E C0 N LI$. I~S I O N /N
II C . I R C L ; L 4 R h l A V E 6;i..JIDEB S T J ) SEPT
P4e:,E.-
1!$:l..J•
5".
Po
I I E:.R..
,/A
N
E.. ""'"HDR..
N
4/\/
Te..
N N/~ \.V IT 1-1 S LI?
P.R.. E S ~ E. b S I 1>EJ-oe,E:
S4-tVD
€..quAL
/I ~ ~A- 1'1
wIDTH
S
I'll
C.R.o
w
A-
\I
F:... JI../N F=-I~
t.
~
J0L./Il-NA-LP4
c;
E
7'- 7
8 ,
H
4R..
v£: ' (
".,. 4-
pe=
1:<" E£ 1:> vV4
1/t:=:.
c:,
L./(l>
£5S
4- {
A-N b('I
t... AK...
c:..
L.( T 0 F J= I,l-I l-I
1'1 0 D
e=...
c.
0 N Vi!!..R- S 1 0A.J
I N
T R.4-N'S 4 I\JC 'T1C