Het grensvlak tussen een isotrope en een anisotrope golfpijp

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Het grensvlak tussen een isotrope en een anisotrope golfpijp

Citation for published version (APA):

Roer, van de, T. G. (1967). Het grensvlak tussen een isotrope en een anisotrope golfpijp. Technische Hogeschool Eindhoven.

Document status and date: Gepubliceerd: 01/01/1967

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Set gren8Ylak tU8sen een i8otrope en een anisotrope golfpijp •.

door

Ir. Th.G. van d. Roer

Rapport

ErA -

9 - 1967

mei

1967

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Iahou4 1 Probl. . .atelling I I M.\od•••t integraalv.rgelijkiag I I I M.tod. . . t Fourier-r.eks IV .er.i. balo. V Ap,.ad1c •• VI J,1teratlllU'

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. . . .e IlU ~ uitrek.ell aet behulp yall (6~t (lQ)en (3lt) . . .

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u1tkoa.t als 1.0 11,_ Oolt D'18 .r •••Jlopl ...

-iacyoor

Ie.

t

=

0 .

(19)

.• 16

-(1) (J)

(tJ '.

(L'

(1)

(t)

L')

.

t~)

A

_L

=.J

'>'z

At.

~ +

'>'..

Ar:

c

A

_L

B

~

-

jY

t F

~+ ~

ea 48 8:L,eawaardeJlversel1jk1ng:

eot

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t _::

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of-

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.

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21 ....

4(-.

tJ .'

r

w

.

J.6

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y . . . TG111••• aa.n:

z

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.

if...

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2

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l1=

.

n

A..

_{v ,}

!

;.

At 1= (!osoL

e

+

~t

f Sc.k0{ 17

J

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oad.r.o.k:••

tt• •....,_

. we

h.'.--'rloop.m ••

oJlg.Y1Ic V&II ~ (tl•• ,).

DR.

"",,,I?ta

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/?

'l~.me~.

--

:/;../

/ /

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...

• x:

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fJ

+'It Ex I: 0 Yoor

=-

z:

Ex cObtuu yoor

9 =

0 B fI fI II . r , I ••ft h.t reaultaat :

»e

ve14..

wGr6..

4aq~

(20)

17 -c..,)

n.

e.ergl. .trooa D&ar de oor8prong toe i- .ge1ijk &aD:

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r

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y

+

DC

Po.

i)]

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ae

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Po

tot de 11m1et:

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,

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Ill)

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11111-' 1aoaalb.aBk.11jk van

r.

Er 1. elua ••a rei.· .troo. aaar 4. GOl-aprone to. die aldaar '.d:1. .1 0I'4\.

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Po

altijd po81tiet ia•

.u. ..

r

-.-i.

wordt Po • 0 onatbaake1ijk Yu. r. II" 18 ciu ... tia.,._1e.

(21)

'. 18 -'

WU nu " ••

41••

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U

bet goltpijpproble. ookoptlt. . . . ··

dallsal b.t ''I'.14••%"100p J.lld. buurt van ct. ~r.F"'ualC).

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elit B&

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1)

.

'.

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l:l1.i.3lJ.t

tie ••t

C t. Si;Sll. Dua:

.. Door 41\ g.Ujk t. at.llen &all (11) viaden ••.:

AL=-T(~)jr

••'.-41••

1,.e1"4e yeraogen ia dan:

~

: !E..jll]J.

~z .{~

rll,JI.

JM

t

tJ

1Iw

t

"1.+">;

Be' door4e pijp &angeYoerde vermogen bedraagt:

·· .. Citr

De

verhoudiac der 'I'eraogena is:

e

o

_

(~l_Kr.J lI~ll

P; -

K~Lfl. _1~11J

1...1

De.e waarcl. sou 1 .oaten a1jn. luasrisk. ber*~n.1l1 ~ yoer4 .door M.B.W.M. BoJUlel, .aarbij If 1D.

(II -

18l 3

c

.

••r4 ga•••

a.t

Yolg.nd. r.aultaat:

(11}

tT'

Po/p,

O,Y

O,j

0,9'1

(22)

· ..•.•• >19·

-I - De ~. )tout_t.l •

. . . ·Ior. .el. inc."oerd. ".rl1»daetGl" .•••dk. .

(X.XJ) Yinden "1 ell 1'2 de 1n

(i

-3,

4) . . . . t~,. V,,:n. . . . 4••• 1•

.!1:!.

111 daD. b 1 1 j l t t ' ' .

" M..t<

1...

M-K

'-0

M..-K "

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daD

fiat

Y

11ct in de atroolt

-i

~ Re

r

~ 0 (ftc. 4) •.

M-K

-

M+K

c.

(23)

-20-neni.

b1i'" ook datI

,u.

'It

1 :: '

-~

"

r;

_fA,/",-'J(

=

~t:::::;:;:~

MY; -

_KL/M~

oM

lty "

k~ M~/K'

claD. ••1: II -Bakele iat.gralea. c

In hetYoorcaaa4e ko.en integralea voor yan d.vora 1

jL~

tilt)

cit

-1 'It {;( of - ctIl'"

t

l

If)

d

'P

jl"'+t"A1'f

1

o

Door aubatitutie

_{•• 1+t'}

1-t reap z •

kuna...

0••rg••o.r4 wor4.n in ••a d.r .01«.a4e t,pen 4ie-ctoor oOlltoRr1at.crat1e 1n het kompl.x. v1ak. uit. t._;

rUeIl..sija.

;

40 k_f

.

_.--

Z

, 1-2

a.

(24)

21

-De laat.te 1. oolt door br.ukap1ita1ng uit de ee.rat. , ••• at ".

(25)

.. 22

-. V Llteratuur

.,

I -

c.a.

Slaarpe, D.S. Be1a - A Ferrite Bouclar7 - VaJ.ue Probl.

111 a Rectaqular W.veguid. - I.B.E. fraaa. Jt.rt, jan

1958

II -It. L. .1a - A 'errite Boundar,. - v.alue Probl_ 1a a ae.'taqulu .a.ee-ide - I.B.B. Paper No.

30,6

E (noy

19'9)

III - L• .Lewin - The Part· Played b,. Surtac. Waye. on the R.fle.tio. at a Ferrite Boundar,. - I.E.E. Monograph Ko ,." E (teb

1961)

IV

-

It. Lewin - On the Re.olution ot a C1aas of Wa.eguide Dia-NAtiall1t,. Prohle. . b,. the Use ot Singular Integral Squatio. . .

I.8.1~ Trans. M.T.T. jul1

1961

v

-

L. L. .1a - Advanc •• in Microwaves (Aead••ie Pr•••,

.

1966)

VI - R. Mittra - Solution

at

a Boundary Value hob1._ and

8 . . .1.ution ot L••in's Paradox. Antenna Lab. R.port Ro.

65-1.

UniT. ot I1.1inoi., Urbana, Ill.

VII - R.B. Burd - On the Pos.ibi1.ity ot Intrin.ic Lo•••• OccurriDl at the I4ge. ot Ferrite.. Syapo.iua on E.M. ~heor,. and

Aatennaa, CopeDhagen 1962

C

VIII - Mikhlin - Int.gral Equations (Roordhoff,

U • B.A. z..uwerier On certain trigonometrical eXJMUUSio.. -Katheaatical Centre. University ot Amaterdaa, Report '.N