Test met hods for elect rical mat erials, print ed boards and ot her int erconnect ion st ruct ures and assembl es – Part 2- 721: Test met hods for mat erials for int erconnect ion st ru
Trang 1Test met hods for elect rical mat erials, print ed boards and ot her int erconnect ion
st ruct ures and assembl es –
Part 2- 721: Test met hods for mat erials for int erconnect ion st ruct ures –
Measurement of relative permit t ivity and loss t angent for copper clad laminat e
at microwave f equency using spl t post dielect ric resonat or
Mét hodes d'essai pour les mat ériaux électriques, les cart es imprimées et aut re
st ruct ures d'int erconnex ion et ensembles –
Part ie 2- 721: Mét hodes d'essai des mat ériaux pour st ruct ures d'int erconnex ion –
Mesure de la permit t ivit é relat ive et de la tangent e de pert e pour les st rat ifiés
recouvert s de cuivre en hy erréquences à l'aide d'un résonat eur diélect rique
Trang 2THIS PUBLICATION IS COPYRIGHT PROTECTED
Copyr ight © 2 15 IEC, Ge e a, Switzer la d
Al rig ts r es r ve Unle s oth rwis s e ifi d, n p rt of this p blc tio ma b r epr od c d or uti z d in a y form
or b a y me n , ele tr onic or me h nic l in lu in p oto o yin a d microfim, with ut p rmis io in wr itin from
eith r IEC or IEC's memb r Natio al Commite in th c u tr y of th re u ste If y u h v a y q e tio s a o t IEC
c p r i ht or h v a e q ir y a o t o tainin a ditio al ri hts to this p blc tio , ple s c nta t th a dr es b low or
y ur lo al IEC memb r Natio al Commite for ur th r informatio
Dr oits d r eprod ctio ré er vé Sa f in ic tio c ntraire, a c n p rtie d c te p blc tio n p ut êtr e repro uite
ni uti s e s u q elq e forme q e c s it et p r a c n pro é é, éle troniq e o mé a iq e, y c mp s la p oto o ie
et le micr ofilms, s n la c rd é rit d l EC o d Comité n tio al d l EC d p y d d ma d ur Si v u a e d s
q e tio s s r le c p r i ht d l EC o si v u d sire o te ir d s droits s p léme tair es s r c te p blc tio , uti s z
le c ord n é s ci-a r ès o c nta te le Comité n tio al d l EC d v tr ep y d résid n e
Th Intern tio al Ele trote h ic l Commis io (IEC) is th le din glo al org niz tio th t pr ep res a d p bls e
Internatio al Sta d r ds for al ele tri al ele tr onic a d relate te h olo ie
Abo t IEC p blc tio s
Th te h ic l c nte t of IEC p blc tio s is k pt u d r c n ta t r eview b th IEC Ple s ma e s re th t y u h v th
late t e itio ,a c rrig n a or a ame dme t mig t h v b e p bls e
IEC Cat alo ue - webst ore.e ch/ cat alo ue
Th st an -alo e a plc t io for c n ultin th e tire
biblo ra hic l informat io o IEC Intern tio al Sta d rd ,
Te h ic l Sp cific tio s, Te h ic l R ep rts a d oth r
d c me ts A v aia le for P , Ma OS, A ndroid Ta let s a d
iPa
IEC p blc t i ns s arch - www ie ch/ se rch u
Th a v an e s arc e a le to fin IEC p blc t io s b a
variety of crit eria (efere c n mb r, t ext, t ec nic l
c mmitt e,…) It als gives informatio o projec t s, re la e
a d wit hdrawn p blc tio s
IEC Just P blshed - webst ore.e ch/ just pu lshed
St ay u to d te o al n w IEC p blc t io s Ju t Pu ls e
d t ais al n w p blc t io s rele s d A v aia le o ln a d
als o c a mo t h b emai
Ele t ro edia - www ele t ro edia.org
Th world's le din o ln dic t io ary of elec t ro ic a d
ele t ric l t erms c nt ainin more th n 3 0 0 terms a d
d finitio s in En ls a d Fre c , wit h e uiv ale t t erms in 15
a ditio al la g a e Als k nown a t he Int ern t io al
Elec t rot ec nic l Vo a ulary (IEV ) o ln
IEC Glos ar y - st d.e ch/ glos ary
More t ha 6 0 0 ele t rot ec nic l termin lo y e t rie in
En ls a d Fre c e tra t ed fom t he Terms a d Definitio s
cla s of IEC p blc t io s is u d sin e 2 0 Some e t rie
h v e b e c le t ed fom e rler p blc tio s of IEC TC 3 ,
7 ,8 a d CISPR
IEC Cust omer Servic Cent re - webst ore.ec ch/ csc
If y ou wis to giv e u your fe d a k o t his p blc tio or
n e furt her a sist an e, ple s c nt act h Cu t omer Serv ic
Ce t re:c c@ie c
A pro os de l'IEC
L Commis io Ele trote h iq e Inter natio ale (IEC) e t la premièr e orga is tio mo diale q i éla or e et p ble d s
Norme internatio ale p ur to t c q i a trait à léle tri ité,à léle tr oniq e et a x te h olo ie a p re té s
A pro os de p blc t i ns IEC
L c nte u te h iq e d s p blc tio s IEC e t c n tamme t rev Ve i e v u a s r er q e v u p s é e lé itio la
plu r éc nte, u c r rig n um o ame d me t p ut a oir été p blé
Cat alo ue IEC - webst ore.e ch/ cat alo ue
Applc t io a t on me p ur c n ult er t ou le re s ig eme t s
biblo ra hiq e s r le Norme intern t io ale ,
Sp cific t io s t ec niq e , R ap ort s te h iq e et a tre
d c me ts d l EC Dis o ible p ur P , Ma OS, t ablett es
A ndroid et iPa
Recherche de p blc t i ns IEC - w ww ie ch/ se rch u
L re h rc e avan é p rmet d t ro ver d s p blc tio s IEC
e uti s nt difére t s crit ère (n méro d référe c , t exte,
c mit é d’ét ud s,…) Ele d n e a s i d s informatio s s r le
projets et le p blc t io s remplac ée o retiré s
IEC Just P blshed - webst ore.e ch/ just pu lshed
R este informé s r le n uvele p blc t io s IEC Ju t
Pu ls e d tai e le n uv ele p blc t io s p ru s
Dis o ible e lg e et a s i u e fois p r mois p r emai
Ele t ro edia - www.ele t ro edia.org
L premier dic t io n ire e lg e d t erme éle tro iq e et
éle triq e I c ntie t plu d 3 0 0 terme et d finit io s e
a glais et e fa ç is, ain i q e le terme é uiv ale t s d n
15 la g e a ditio n le Eg leme t a p lé Vo a ulaire
Elec trote h iq e Int ern tio al (IEV) e lg e
Glos aire IEC - st d.e c h/ glos ar y
Plu d 6 0 0 e t ré s t ermin lo iq e élec t rot ec niq e , e
a glais et e fa ç is, e traite d s art icle Terme et
Définit io s d s p blc tio s IEC p ru s d p is 2 0 Plu
c rt ain s e tré s a t érie re e traite d s p blc t io s d s
CE 3 , 7 , 8 et CISPR d l EC
Serv ic Clent s - w ebst ore.e c h/ cs
Si vou d sire n u d n er d s c mme taire s r c tt e
p blc t io o si v ou av ez d s q e t io s c nt ac t ez-n u :
c c@iec c
Trang 3Test met hods for elect rical mat erials, print ed boards and ot her int erconnect ion
st ruct ures and assembl es –
Part 2- 721: Test met hods for mat erials for int erconnect ion st ruct ures –
Measurement of relative permit t ivity and loss t angent for copper clad laminat e
at microwave f equency using spl t post dielect ric resonat or
Mét hodes d'es ai pour les mat ériaux électriques, les cart es imprimées et aut res
st ruct ures d'int erconnex ion et ensembles –
Part ie 2- 721: Mét hodes d'ess i des mat ériaux pour st ruct ures d'int erconnex ion –
Mesure de la permit t ivit é relat ive et de la tangent e de pert e pour les st rat ifiés
recouvert s de cuivre en hyper réquences à l'aide d'un résonat eur diélect rique
W arnin ! Mak e s re that you o tain d t his publc tion from a a thorize distributor
At te tion! V eui ez vou a s rer q e vou a ez o te u c t te publc t ion via u distribute r a ré
c olour
inside
Trang 4FOREWORD 4
1 Sco e 6
2 Test sp cimen 6
2.1 Sp cimen size 6
2.2 Pre aration 7
2.3 Markin 7
2.4 Thic nes 7
3 Eq ipment a p ratu 7
3.1 General 7
3.2 Vector network analy er (VNA) 8
3.3 SPDR test f i ture 8
3.3.1 General 8
3.3.2 Parameters 8
3.3.3 Freq en y 8
3 4 Verify u it
9 3.5 Micrometer 9
3.6 Circ latin oven 9
3.7 Test c amb r 9
4 Proced re 9
4.1 Precon itionin 9
4.2 Testin of relative p rmitivity an los tan ent at ro m temp rature 9
4.2.1 Test con ition 9
4.2.2 Pre aration 9
4.2.3 Fixture 10 4.2.4 Con ection to VNA 10 4.2.5 VNA p rameter 10 4.2.6 Freq en y an Q-f actor without sp cimen 10 4.2.7 Micrometer 10 4.2.8 Set in the sp cimen 10 4.2.9 Freq en y an Q-f actor with sp cimen 10 4.2.10 Comp rison 10 4.2.11 Calc lation 1
4.2.12 Chan e the sp cimen 12
4.2.13 Chan e in test f req en y 12
4.3 Testin of relative p rmitivity an los tan ent at varia le temp ratures 12
4.3.1 Test con ition 12
4.3.2 Pre aration 12
4.3.3 Fixture 12
4.3.4 Con ection to VNA 12
4.3.5 VNA p rameter 12
4.3.6 Temp rature in the c amb r 12
4.3.7 Freq en y an Q-f actor without sp cimen 12
4.3.8 Micrometer 12
4.3.9 Set in of the sp cimen 13
4.3.10 Freq en y an Q-f actor with sp cimen 13
Trang 54.3.12 Option 13
4.3.13 Thermal co ff i ient 13
4.3.14 Chan e in test f req en y 14
5 Re ort 14
5.1 At ro m temp rature 14
5.2 At varia le temp rature 14
6 Ad itional information 14
6.1 Ac urac 14
6.2 Maintenan e 14
6.3 Maters to b aten ed 15
6.4 Ad itional information con ernin fixtures an res lts 15
6.5 Ad itional information on K
ε (ε
r ,h) an p
es 15
An ex A (informative) Example of test f i ture an test res lt 16
A.1 Example of test f i ture 16
A.2 Example of test res lt 16
An ex B (informative) Ad itional information on K
ε (ε
r ,h) an p
es 19
Biblogra h 2
Fig re 1 – Sc eme of SPDR test f i ture 6
Fig re 2 – Comp nent diagram of test s stem 8
Fig re 3 – Sc eme of the c an e of resonan e f req en y with or without the sp cimen 10 Fig re A.1 – Test fixture 16 Fig re A.2 – Relative p rmitivity vers s f eq en y (laminate of Dk 3,8 an thic nes 0,51 mm) 1
7 Fig re A.3 – L s tan ent vers s f req en y (laminate of Dk 3,8 an thic nes 0,51 mm) 17 Fig re A.4 – Curve of relative p rmit ivity an los tan ent at varia le temp ratures (laminate of Dk 3,8 an thic nes 0,51 mm) 18 Fig re B.1 – K ε (ε r ,h) vers s relative p rmitivity at dif ferent sample thic nes es 19 Fig re B.2 – Distribution of the electric f ield of the spl t dielectric resonator (side view of the dielectric resonators) 2
Fig re B.3 – Distribution of the electric f ield of the spl t dielectric resonator ( o view b twe n the dielectric resonators) 21
Fig re B.4 – p es vers s relative p rmitivity at dif ferent sample thic nes es 21
Ta le 1 – Sp cimen dimen ion 7
Ta le 2 – SPDR test fixture’s p rameter 9
Ta le B.1 – Res lts of me s rements of diff erent materials u in a 10 GHz SPDR 2
Trang 6INTERNATIONAL ELECTROTECHNICAL COMMISSION
_
Part 2-721: Test methods for materials f or interconnection structures –
Measurement of relative permit ivity and loss tangent f or copper clad
laminate at microwave frequency using spl t post dielectric resonator
1 Th Intern tio al Ele trote h ic l Commis io (IEC) is a worldwid org niz tio for sta d rdiz tio c mprisin
al n tio al ele trote h ic l c mmite s (IEC Natio al Commite s) Th o je t of IEC is to promote
intern tio al c -o eratio o al q e tio s c n ernin sta d rdiz tio in th ele tric l a d ele tro ic f i ld To
this e d a d in a ditio to oth r a tivitie , IEC p bls e Intern tio al Sta d rd , Te h ic l Sp cific tio s,
Te h ic l Re orts, Pu lcly Av ia le Sp cif i atio s (P S) a d Guid s (h re f ter refer e to a “IEC
Pu lc tio (s)”) Th ir pre aratio is e tru te to te h ic l c mmite s; a y IEC Natio al Commite intere te
in th s bje t d alt with ma p rticip te in this pre aratory work Intern tio al g v rnme tal a d n n
-g v rnme tal org niz tio s laisin with th IEC als p rticip te in this pre aratio IEC c la orate clo ely
with th Intern tio al Org niz tio f or Sta d rdiz tio (ISO) in a c rd n e with c n itio s d termin d b
a re me t b twe n th two org niz tio s
2) Th f ormal d cisio s or a re me ts of IEC o te h ic l maters e pre s, a n arly a p s ible, a intern tio al
c n e s s of o inio o th rele a t s bje ts sin e e c te h ic l c mmite h s re re e tatio fom al
intere te IEC Natio al Commite s
3) IEC Pu lc tio s h v th form of re omme d tio s f or intern tio al u e a d are a c pte b IEC Natio al
Commite s in th t s n e Whie al re s n ble ef forts are ma e to e s re th t th te h ic l c nte t of IEC
Pu lc tio s is a c rate, IEC c n ot b h ld re p n ible for th wa in whic th y are u e or f or a y
misinterpretatio b a y e d u er
4) In ord r to promote intern tio al u if ormity, IEC Natio al Commite s u d rta e to a ply IEC Pu lc tio s
tra s are tly to th ma imum e te t p s ible in th ir n tio al a d re io al p blc tio s An div rg n e
b twe n a y IEC Pu lc tio a d th c re p n in n tio al or re io al p blc tio s al b cle rly in ic te in
th later
5) IEC its lf d e n t pro id a y ate tatio of c nf ormity In e e d nt c rtif i atio b die pro id c nformity
a s s me t s rvic s a d, in s me are s, a c s to IEC mark of c nformity IEC is n t re p n ible for a y
s rvic s c rie o t b in e e d nt c rtif i atio b die
6) Al u ers s o lde s re th t th y h v th late t e itio of this p blc tio
7) No la i ty s al ata h to IEC or its dire tors, emplo e s, s rv nts or a e ts in lu in in ivid al e p rts a d
memb rs of its te h ic l c mmite s a d IEC Natio al Commite s f or a y p rs n l injury, pro erty d ma e or
oth r d ma e of a y n ture wh ts e er, wh th r dire t or in ire t, or for c sts (in lu in le al f ee ) a d
e p n e arisin o t of th p blc tio , u e of, or rela c u o , this IEC Pu lc tio or a y oth r IEC
Pu lc tio s
8) Ate tio is drawn to th Normativ refere c s cite in this p blc tio Us of th refere c d p blc tio s is
in is e s ble f or th c r e t a plc tio of this p blc tio
9) Ate tio is drawn to th p s ibi ty th t s me of th eleme ts of this IEC Pu lc tio ma b th s bje t of
p te t rig ts IEC s al n t b h ld re p n ible for id ntif yin a y or al s c p te t rig ts
International Stan ard IEC 61 8 -2-7 1 has b en pre ared by IEC tec nical commit e 91:
Electronic as embly tec nolog
The text of this stan ard is based on the f ol owin doc ments:
Ful inf ormation on the votin for the a proval of this stan ard can b f ou d in the re ort on
votin in icated in the a ove ta le
Trang 7A lst of al p rts in the IEC 61 8 series, publ s ed u der the general title Test met hods for
ele tric l materials, printed b ards a d oth r i nt erc n e t ion stru tures a d as emblies, can
b f ou d on the IEC we site
Future stan ard in this series wi car y the new general title as cited a ove Titles of existin
stan ard in this series wi b updated at the time of the next edition
This publ cation has b en draf ted in ac ordan e with the ISO/IEC Directives, Part 2
The commit e has decided that the contents of this publ cation wi remain u c an ed u ti
the sta i ty date indicated on the IEC we site u der "ht p:/we store.iec.c " in the data
related to the sp cific publ cation At this date, the publ cation wi b
• reconfirmed,
• with rawn,
• re laced by a revised edition, or
IMPORTANT – The 'colour inside' logo on th cov r pa e of this publ c tion in ic te
that it contains colours whic are considere to be us f ul f or the cor e t
understa din of its conte ts Us rs s ould theref ore print this doc me t using a
colour printer
Trang 8TEST METHODS FOR ELECTRICA L MATERIA LS, PRINTED BOARDS AND
Part 2-721: Test methods for materials f or interconnection structures –
Measurement of relative permit ivity and loss tangent f or copper clad
laminate at microwave frequency using spl t post dielectric resonator
This p rt of IEC 61 8 outl nes a way to determine the relative p rmitivity (ε
r
tan ent ( an ) (also cal ed dielectric con tant (Dk ) an dis ip tion factor (Df) of co p r clad
laminates at microwave f req en ies (fom 1,1 GHz to 2 GHz) u in a spl t p st dielectric
dista c b twe n th metal e closures of h f ixture;
D intern l diameter of h metal e closures;
L intern l h ig t of h metal e closures;
Trang 9Thre sp cimen f or the test at ro m temp rature an one sp cimen for the test at varia le
temp ratures are req ired f or e c SPDR test fixture for this test Ta le 1 s ows the
Within the l mits of the test fixture, the thic er the sp cimen is, the les er or oc urs in the
me s rements Thin sp cimen can b stac ed up to a minimum of 0,4 mm to improve
me s rement ac urac
NOT Air g p b twe n th s mple a d f i ture d n t af fe t th me s reme t
The comp nent diagram of the test s stem is s own in Fig re 2
Trang 10Figure 2 – Compon nt dia ram of te t s stem
3.2 Ve tor network a alyzer (VNA)
The f ol owin values are req ired:
a) The feq en y ran e of VNA s al b 5 0 MHz to 2 GHz
b) The d namic ran e of VNA s al b more than 6 dB
Trang 11Table 2 – SPDR te t f ixture’s parameter
The verify u it in lu es the fol owin :
a) Stan ard referen e sample, f or example, sin le-cry tal q artz or eq ivalent sample
Al sp cimen s al b con itioned at (2 ± 2) °C an (5 ± 5) % RH for at le st 2 h prior to
testin However, if a sp cimen has recently b en etc ed or exp sed to ex es ive moisture, it
s ould b dried in an air circ latin oven for 2 h at 10
5
2+
Trang 124.2.3 Fix ture
Select an SPDR test fixture in ac ordan e with the test f req en y The sp cimen size an
thic nes s al comply with the req irements sp cified in Ta le 1 F r example, if the test
f req en y is 10 GHz, a SPDR test fixture with 10 GHz nominal f req en y s ould b selected
The s p orted sp cimen size is 8 mm × 8 mm an the maximum thic nes of sp cimen is
no more than 0,9 mm
4.2.4 Conne tion to VNA
Con ect the SPDR test fixture to the VNA The test fixture s al b ke t horizontal
4.2.5 VNA parameter
Set the VNA p rameters ac ordin to the man f acturer's in tru tion an the nominal
f req en y of the SPDR fixture
4.2.6 Fre ue c a d Q- a tor without spe ime
Me s re the resonan e feq en y (f
0) an Q-actor (Q
0) values of the empty resonator
s) of the resonator containin the
sp cimen
4.2.10 Comparison
The s heme of the c an e of resonan e f req en y with or without the sp cimen is s own in
S
Empty reso ator
Reso ator c ntainin
th sp cime
Reso a c f re u n y
IEC
Trang 134.2.1 Calc lation
Calc lation of relative p rmitivity an los tan ent at ro m temp rature
Relative p rmit ivity an los tan ent at ro m temp rature s al b calc lated as folows It is
recommen ed to u e the computer software provided by the eq ipment s p l er for
calc lation
4.2.1 2 Relativ permit ivity
The relative p rmitivity (ε
r
s al b calc lated ac ordin to Eq ation (1)
( h)Kh
ff
,1
r0
s0
r
εε
r
and h For a f i ed resonant cavity, its phy ical p rameters (size,
dielectric resonators ε
r
s ould have b en identif ied K
ε(ε
r,h) is pre-computed an
ta ulated by electromag etic field simulation with the strict Rayleig -Ritz method
Put the empty SPDR f req en y (f
0), the resonant f req en y with dielectric
sp cimen (f
s) an the thic nes of the sp cimen (h) u der test into Eq ation (1)
Enter a simi ar arbitrary value of the relative p rmitivity of the sample, an u e a
s c es ive a proximation algorithm After several iteration , en the calc lation
when the relative er or of the last two calc lated relative p rmit ivities is les than
0,1 % The last calc lated data is taken as the relative p rmit ivity of the sp cimen
Some ad itional inf ormation is s own in An ex B
DR1
S
t an
p
is the Q-actor de en ing on dielectric los es in the dielectric p sts f or the fixture
containin the sp cimen;
p
e
is the electromag etic energ fi in f actor of the sp cimen Af ter identifyin the
ph sical p rameters of the resonant cavity, the electromag etic energy fi in factor
p
ecan b determined by electromag etic field simulation For a fixed resonant
cavity, p
e
is a con tant value Some ad itional inf ormation is s owed in An ex B
Trang 144.2.12 Cha ge the spe ime
Me s re the two remainin sp cimen by re e tin ste s 4.2.6 throu h 4.2.1
4.2.13 Cha ge in te t fre ue c
If another test feq en y is selected, c an e the SPDR test f i ture in ac ordan e with the test
f req en y Then re e t ste s 4.2.3 throu h 4.2.12
4.3 Te ting of relativ permit ivity a d los ta ge t at v riable temperature
Select an SPDR test fixture in ac ordan e with the test f req en y The sp cimen size an
thic nes s al comply with the req irements sp cified in Ta le 1 F r example, if the test
f req en y is 10 GHz, an SPDR test fixture with 10 GHz nominal f eq en y s ould b selected
The s p orted sp cimen size is 8 mm × 8 mm an the maximum thic nes of the sp cimen
is no more than 0,9 mm
4.3.4 Conne tion to VNA
Con ect the SPDR test f i ture to the VNA The test f i ture s al b ke t in a horizontal
p sition in the test c amb r
0(T) of the empty resonator
The resonan e p ak s ould b b twe n – 0 dB an – 5 dB; adju t the p sition of the
coupl n lo ps to ac ieve this whi st en urin their p sition is s mmetrical
When me s rin the Q- actor, the f eq en y sp n of the VNA s ould b adju ted s c that it
is b twe n 1 0 % an 2 0 % of the ful width at half maximum of the resonant c rve
4.3.8 Micrometer
Use a micrometer to me s re the thic nes of the sp cimen, an record as h
Trang 154.3.9 Set ing of the spe ime
The en ironmental test c amb r s al b returned to ro m temp rature In ert the sp cimen
into the test fixture The side with markin is f ace up an the ed e of this side has to b
al g ed with the fixture ed e
4.3.10 Fre ue c a d Q- a tor with spe ime
Re e t ste 4.3.6 Me s re the resonan e f req en y f
s(T) an Q-actor Q
s(T) of the resonator
with the specimen at temp rature T
When me s rin the Q- actor, the f eq en y sp n of the VNA s ould b adju ted s c that it
is b twe n 1 0 % an 2 0 % of the f ul width at half maximum of the resonant c rve
4.3.11 Calc lation
Fol ow ste 4.2.1 an calc late the value of the relative p rmit ivity Dk(T) an the los
tan ent Df(T) at temp rature T
4.3.12 Options
If another test temp rature is selected, re e t ste s 4.3.6 throu h 4.3.1
4.3.13 Thermal coef f icie t
4.3.13.1 Ge eral
Thermal co ff i ient of elative p rmitivity an thermal co ff i ient of los tan ent
4.3.13.2 Relativ permit ivity
The thermal co f ficient of the relative p rmitivity ε
r(brief f or TCε
/°C General y, the
relative p rmit ivity of a sp cimen at its b se temp rature T
ref
of 2 °C is u ed as the b se
relative p rmitivity Dk(T
ref For temp rature T, TCε
ref
r
TDkT
T
TDkTDk
/°C;
T is the test temp rature, in °C;
T
ref
is the b se temp rature, in °C;
Dk(T) is the relative p rmit ivity at temp rature T
4.3.13.3 Loss ta ge t
The Thermal co f ficient of tan (TC tan ) is the c an e rate of the los tan ent p r
temp rature (every in re se or decre se 1 °C) The u it of TC tan is 10
–6
/°C General y, the
los tan ent of the sp cimen at b se temp rature T
ref
of 2 °C is u ed as the b se los
tan ent Df(T
ref F r temp rature T, TC tan is calc lated ac ordin to Eq ation (4)
refref
ref
t an
TDfT
T
TDfTDf
Trang 16where
TC tan is thermal co ff i ient of tan , in p m/°C;
T is the test temp rature, in °C;
T
ref
is the b se temp rature, in °C;
Df(T) is the los tan ent at temp rature T;
Df(T
ref
is the los tan ent at temp rature T
ref
4.3.14 Cha ge in te t fre ue c
If another test f req en y is selected, c an e the SPDR test fixture in ac ordan e with the test
f eq en y Then re e t ste s 4.3.3 throu h 4.3.13
5.1 At room temperature
For ro m temp rature tests, re ort the folowin :
a) test en ironment ( emp rature, h midity);
b) test f req en y;
c) the values an the average values of the relative p rmit ivity an los tan ent at test
f req en y;
d) the precon itionin of the sp cimen;
e) an anomal es in the test or variation fom this test method
5.2 At v riable temperature
For varia le temp rature tests, re ort the f ol owin :
a) test temp rature (T) an b se temp rature (T
f ) if more than one test temp rature is neces ary, re ort the c rve diagram of the relative
p rmitivity an los tan ent in ac ordan e with the temp rature variation;
Trang 176.3 Mat ers to be at e de
To prevent damage to the test f i ture b cau e of the varia le temp rature tests, verify the
test s stem reg larly with a stan ard referen e sample F r example, single-cry tal q artz is
u ed as the stan ard referen e sample of thic nes 0,4 mm The deviation of the relative
p rmitivity me s rement b twe n the test res lt an the nominal value of the stan ard
ref eren e sample s al b les than ± ,7 %, whi e the deviation of the los tangent s al b
les than ± × 10
−
6.4 Additional inf ormation con erning fixture a d re ults
An example of a test fixture an test res lt is s own in An ex A
6.5 Additional inf ormation on K
ε(ε
r,h) a d p
e
Some ad itional inf ormation on K
ε(ε
r,h) an p
e
is s own in An ex B
Trang 18Annex A
(inf or mative)
Example of test fixture and test result
A 1 Ex mple of test f ixture
Fig re A.1 s ows a picture of an SPDR f i ture at 5 GHz Uti ze a 3,5 mm f emale-to- emale
ada ter to con ect the co xial ca le an the SPDR test f i ture
An SPDR fixture has a coupl n lo p on b th en s to adju t the coupl n co f ficient The
maximum thic nes of the sp cimen of this fixture is 2 mm
Fig re A.1 – Te t f ixture
A 2 Ex mple of test result
Fig re A.2 an Figure A.3 s ow the typical me s rement of relative p rmitivity an los
tan ent at microwave f req en ies (fom 1,1 GHz to 19 GHz) for a co p r clad laminate of ε
r
3,8 Fig re A.4 s ows the c rve diagram of relative p rmit ivity an los tan ent at varia le
temp ratures (fom −12 °C to 1 0 °C) f or a co p r clad laminate of ε
Trang 19Figure A.2 – Relative permit ivity v rs s fre ue c
(laminate of Dk 3,8 a d thic ne s 0,51 mm)
Figure A.3 – L s ta ge t v rs s fre ue c
(laminate of Dk 3,8 a d thic ne s 0,51 mm)
IEC
DK 3,8 4,0
Trang 20Figure A.4 – Curv of relativ permit ivity a d los ta ge t
at v riable temperature (laminate of Dk 3,8 a d thic ne s 0,51 mm)
Trang 21Annex B
(inf or mative)
Additional inf ormation on K
ε (ε
r,h) and p
e
By definition K
ε (ε
r,h) f un tion values are sp cified for a given resonant fixture an with f i ed
s0
r
)1(,
h
ff
hK
−
−
=
εε
ε
(B.1)
The fu ction K
ε(ε
r,h) is computed an ta ulated f or every sp cif i SPDR Exact resonant
f eq en ies an the res ltin values of K
ε(ε
r,h) are computed f or a n mb r of ε
r
ta ulated Interp lation has b en u ed to compute K
ε(ε
r,h) f or any other values of ε
r
The initial value of K
ε(ε
r,h) in the p rmit ivity evaluation u in Eq ation (1) is taken to b the
same as its cor esp n in value for a given h an ε
r
= 1 Subseq ent values of K
ε(ε
r,h) are
f ou d for the s bseq ent dielectric con tant values o tained in the iterative proced re
Becau e K
ε(ε
r,h) is a slowly varyin fu ction of ε
r
an h, the iteration u in Eq ation (1)
con erge ra idly Fig re B.1 s ows K
ε(ε
r,h) vers s relative p rmitivity at dif ferent sample
thic nes es for a 10 GHz SPDR
Figure B.1 – K
ε(ε
r,h) v rs s relative permit ivity at
dif fere t s mple thic ne s s
By definition the p
evalue is sp cified for a given resonant fixture an with f i ed values ε′
r
an h as f ol ows:
Khp
rr,
1es
εε
Trang 22The Rayleig -Ritz method p rmits to compute the p
evalue for a given resonant stru ture
These p rameters have b en computed for a n mb r of h an ε′
r
= 1 mm an a relative p rmit ivity of a dielectric resonator = 3 , the distribution of the electric
f ield comp nent E in the splt dielectric resonator o eratin at a nominal f req en y (without
sample) of 10 GHz is s own in Fig re B.2 an Fig re B.3
Fig re B.4 s ows p
evers s relative p rmit ivity at dif ferent sample thic nes es
For a 10 GHz SPDR with dif ferent samples, the p rameters are s own in Ta le B.1
12,4 7
> 105
12,3 2
> 105
16 0 0 Halo e - e FR4
Figure B.2 – Distribution of the ele tric field of the spl t diele tric re onator
(side view of the diele tric re onators)
IE C
Trang 23Figure B.3 – Distribution of the ele tric field of the spl t diele tric re onator
(top view betwe n the diele tric re on tors)
10-4
Trang 24Bibl ogr aphy
[1] Nis ikawa, T Wakino, K Tanaka, H Is ikawa, Y "Diel ectric Reso at or Method for
Su strat es," Microwave Conferen e, 19 0 2 th Euro e n, vol.1, p 5 1-5 6, 19 0
[2] Maziers a, J Krupka, J Jaco , M.V L den ov, D "Compl ex p rmittivity
me sureme ts at variabl e t emp rat ures of low los d iel ectric su strates empl oying sp t
p st a d single p st dielectric reso ators," Microwave Symp sium Digest, 2 0 IEEE
MT -S International, vol.3, p 18 5-18 8, 2 0
[3] Maziers a, J Jaco , Mohan V Har in , A Krupka, J Barnwel , P Sims, T
“Measureme ts of los tan e t a d rel ativ p rmit tivity of LTCC c ramics at v rying
temp ratures a d fe u n ies,” Journal of the Euro e n Ceramic Society, vol 2 , is ue
14, p 2 1 – 615, 2 0
[4] Krupka, J Clarke, R.N Roc ard, O.C Gregory, A.P "Spl it p st d iele t ric reso ator
tec niqu for pre ise me sureme ts of laminar d iel ectric sp cime s-me sureme t
u c rtainties," Microwaves, Radar an Wireles Commu ication , 2 0 MIKON-2 0
13th International Conferen e, vol.1, p 3 5-3 8, 2 0
[5] Krupka, J Gregory, A.P Roc ard, O.C Clarke, R.N Rid le, B Baker Jarvis, J
“U nc rtainty of c mpl ex p rmittivity me sureme ts b sp t-p st d ielect ric reso at or
te h iqu ,” Journal of the Euro e n Ceramic Society, vol 21, is ue 15, p 2 7 -2 7 ,
2 01
[6] Krupka, J Geyer, R G Baker Jarvis, J Ceremu a, J "Measureme ts of the c mplex
p rmit vity of microwave circ it b ard su strat es using sp t d ielectric reso at or a d
re ntra t c vity te h iq es," Seventh International Conf eren e on Dielectric Materials,
Me s rements an Ap l cation , (Conf Publ No 4 0), p 21-2 , 19 6
_ _