On the Effect of Ground-Plane Thickness on an Aperture-Coupled Dielectric Resonator Antenna

Transcription

1 O th Efft of Groud-Pl Thikss o Aprtur-Coupld Diltri Rsotor At Zhi Nig Ch, 1 Kzuhiro Hirsw 1 Ctr For Wirlss Couitios, Ntiol Uivrsit of Sigpor, 0 Si Prk Rod, 0-34 / 37 TlTh Prk, Sigpor Si Prk II, Sigpor ; E-il: hz@wusdusg Istitut of Ifortio Sis d Eltrois, Uivrsit of Tsuku, Tsuku, , Jp; E-il: hirsw@istsukujp Rid 6 Jur 000; risd 14 April 000 ABSTRACT: A hisphril diltri rsotor t xitd irostrip fdli through rrow slot i thik groud pl is studid thortill d xpritll A uril thod sd o oitio of th sptrl Gr s futio, odl Gr s futio, d th thod of ot is usd to ivstigt th iput hrtristis of th diltri rsotor t sst Th ffts of groud-pl thikss o iput rsist, rsot frqu, d ipd dwidth of th diltri rsotor t r disussd 000 Joh Wil & Sos, I It J RF d Mirowv CAE 10: 7177, 000 Kwords: diltri rsotor t; thik groud plt; Gr futios; thod of ot I INTRODUCTION Si 1983, th diltri rsotor ts DRAs hv grtl dvlopd, hvig th virtus of low ost, low loss, d sll siz 1, A oxil pro-fd DRA is sipl d oo pplitio d its hrtristis hv xtsivl ivstigtd 35 I grl, oxil pro d losd-loop wir-fd pro r, rsptivl, usd to oupl with th ltri fild lis d th gti fild lis isid DRA To our xpri, this kid of fd rsults i fritio d djustt diffiultis us it ds to ddd i DRA A fftiv ltrtiv is to xit DRA rrow slot 69 B usig prtur-ouplig fd, DRA is rdil d, djustd, d itgrtd ito Corrspod to: Z N Ch Cotrt grt sposor: Mousho s Grt-i-Aid for th Jp Soit for th Prootio of Si JSPS Fllows rr or iruit Usull, thik groud pl is usd to irs th sikig ht of th tiv opots wh th powr of sst is high 10 Thrfor prtur-oupld DRA, whih is itgrtd ito th sst with tiv opots, grll hs fd with thik groud pl Th iflus of th groud-pl thikss o th ouplig tw th DRA d th fdli hv ivstigtd 10, 11 I this ppr, thortil d xpritl ivstigtios o prtur-oupld hisphril DRA with thik groud pl r prford So lti d uril thods r oid to odl th DRA sst Th sphril odl Gr s futio is for th lultig filds rditd th hisphril DRA Th sptrl doi Gr s futio is pplid to otiig th filds of th irostrip fdli Th slot rgio is osidrd s vit losd prftl ltri odutig wlls Th odl 000 Joh Wil & Sos, I 71

2 7 Ch d Hirsw Gr s futio is plod to xprss th filds i th slot rgio Th thod of ots is usd to vlut th gti urrts o th uppr d lowr prturs of th slot rgio Th hrtristis of hisphril DRA sst with thik groud pl hv siultd d disussd II FORMUATIONS Th ofigurtio d oordit of th ivstigtd DRA sst r show i Figur 1 A hisphril DRA of rdius r d rltiv diltri ostt r is xitd irostrip fdli of width Wf d its stu lgth s through vit of dpth t, width W, d lgth Th sustrt hs rltiv diltri ostt d thikss d Th irostrip fdli rs rosss th prtur orll log th -xil dirtio d th tr of th DRA is put t th origi, l, th gotril tr of th slot Th sids of th slot r prlll to th x- d -xis, rsptivl B s of th quivlt priipl, oth of th uppr d lowr itrfs of th vit r rpld th quivlt gti urrts M Figur 1 A hisphril diltri rsotor t with thik groud pl d M Furthr, grlizd twork forul- tio is pplid to sprtig th sst ito thr surgios, l, th lowr hlf-sp with DRA surgio I, th vit withi th thik groud pl surgio II, d th ov hlfsp with irostrip fdli with diltri sustrt surgio III 1 I th surgio I, th filds r rditd th hisphril DRA i hlf fr sp d r xprssd th sphril odl Gr s futio, whih doit od is TE Th surgio II is osidrd s vit d lzd us of th odl Gr s futio, whos ods r TE 0 l tp 11, 13 Th sptrl doi Gr s futio is usd to odl th filds risig fro th irostrip fdli 11 Th fort of th otiuit of gti filds t th prturs ots thr surgios with h othr: f u l H H M H M H M for z t, 1 u H M H M H M for z 0 f Aross th uppr prtur z t, th filds H d H u t th z t sid r, rsptivl, xitd th irostrip fdli d th g- ti urrt M t th z t sid of th uppr prtur Th filds H l d H t th z t sid r du to th gti urrt M t th z t sid of th uppr prtur d th gti urrt M t th z 0 sid of th lowr prtur Siilrl, th fild H t th z 0 sid is rditd th gti urrts M i th prs of th diltri rsotor DR sphr, th tr of whih is t th origi Th filds H u d H t th z 0 sid r du to th gti urrt M t th z 0 sid of th lowr prtur d th g- ti urrt M t th z t sid of th uppr prtur, rsptivl Th gti filds dsrid i th rlvt Gr s futio: HH u HM H M G x,, x, M x, ds S 3 HH l l H M G x,, x, S M x, ds 3

3 Aprtur-Coupld DRA o Thik Groud Pl 73 HH H M G x,, x, M x, ds S 3 HH u u H M G x,, x, M x, ds S 3d HH H M G x,, x, S HH M x, ds 3 H H M G x,, x, S M x, ds 3f 1 f H 1 R h 1 R H x,, ' Z 3g whr S d S W r rs of th uppr d lowr prtur, rsptivl Th Gr s futios G H d G HM r th odl Gr s futio for th rditio of rrow slot i th prs of sphril DR d th sptrl odl Gr s futio for th rditio of rrow slot ovrd diltri pl, rsptivl 8 Th Gr s futios for th gti filds i th vit r giv l G x,, x, G x,, t, x,, t, 4 G x,, x, G x,, t, x,,0, 4 u G x,, x, G x,,0, x,,0, 4 G x,, x, G x,,0, x,, t, 4d G x,, z, x,, z / j 0 ÝÝ i l os k xž S i0 l1 k 1 ž k / 0 os kxž / k si kt ž / ž / si k si k os k z t os kzz z, 5 ½ os k z t os kzz z whr k k0 k x k, k0 0 0, 0 i, l 0 ' 0 0 il ½, k x iw, d k 1 i l 0 l S dots or S Owig to th rrow vit, th Gr s futio is idpz dt of x; tht is, ol TE ods i 0 0 l xist Thus w rwrit th odl Gr s futio for th vit s G x,, z, x,, z j k Ý ž / si k Sk 0 0 l1 si kt si kž / os k z t os kz z z ½ os k z t os k z z z 6 I th thod of ots, th gti urrts M o th uppr d lowr prtur r, rsptivl, xpdd s, whr N Ý 1 M x, V f x,, 7 f x, f x f p 1 W x f x W W 0 x, 8 f p si k h h si k h, 0 h ( ( h, 8 N rs r k k 0, d k k 0 8

4 74 Ch d Hirsw B usig th Glrki s produr i Eqs 1 d, th followig lir qutio is otid s N Ý l u V Y V Y Y 1 R 1 N Ý u V Y V Y Y 0 1 whr l l Y G x,, x, 9 f x, f x, dsds 10 Y G x,, x, f x, f x, dsds 10 u HM Y G x,, x, f x, f x, dsds 10 1 HH H x, f x, ds 10d Z ' S u u Y G x,, x, f x, f x, dsds 10 Y G x,, x, f x, f x, dsds 10f H Y G x,, x, M f x, f x, dsds 10g Furthr, th lir sst rwritt s Y Y Y N N N N N 1 l u V Y Y Y N N N N N 1 u V 1 R N 1, 0 N 1 1,,,N 1,,,N 11 To spd th oputtios, w odut th itgrls ltill; for xpl, th itgrtio for Y is j Y f x, f x, Ý Sk 0 0 l1 S S ž / ž / k si k si kt si k ds ds 3 j 1 1 Sk 0 0 si k h si k h k k Ý k k k k l1 si k si kt si hk si hk h k k h k k si h k k h k k si si 1 Siilrl, th riig thr trs r rdil giv 3 j 1 k l Y Ý Sk 0 0 si k h l1 k k kos kt si si kt si hk si hk h k k ½ 5 h k k ½ 5 si 13

5 Aprtur-Coupld DRA o Thik Groud Pl 75 3 j 1 k u Y Ý Sk 0 0 si k h l1 k k kos kt si kt si hk si hk ½ h k k 5 si ½ 5 h k k si 14 whr Y Y Aftr otiig th gti urrts, w urill vlut th iput hrtristis of th DRA sst III RESUTS AND DISCUSSION To vrif th uril odlig, th oprisos tw th oputd d surd rsults r first prford Th th siultios o th ffts of th groud-pl thikss o th iput rsist, th rsot frqu, d th ipd dwidth r odutd I our stud, hisphril DR of rdius r 15 d rltiv diltri ostt 95 d sustrt of thikss d 158 d rltiv diltri ostt 33 r osidrd Th thikss of th oppr foil of oril irowv sustrt is 00187, for whih th rsults pproh th solutios for th s of t 0 Th surd d oputd iput ipds of th DRA with th diffrt thikss r illustrtd i Figur d show good grt Th rror sts il fro th ir gp tw th DR d groud pl d th fiit siz of th groud pl Chkig Figur, w osrv tht th highr th iput rsistt is, th thir th groud pl is Th rsot frqu riss wh th groud-pl thikss is irsd, whih is dfid th frqu with xiu iput rsist It is vidt tht th thik slot rgio works s wvguid low th utoff frqu, i whih th trsittd wv i vst ods ttuts vr quikl with th irs of th thikss 11 Norll, rsol lrg prtur is good for irsig th ouplig of th rg tw th DR d th fdli 14 Th iput rsist, rsot frqu, d ipd dwidth of th DRA sst r Figur Frqu rsposs of th lultd d surd iput ipd for th diffrt groudpl thikss urill siultd s show i Figurs 35 Four optiizd ss for th lgth d s r osidrd s th stdrds, whr th good ths for diffrt t r rlizd Th optiizd lgth d s for diffrt t r, r- sptivl, listd i Tl I Th riig disios r th s s thos tiod prviousl Bsd o th optiizd dsig, th iflu of th groud-pl thikss t o th hrtristis of th DRA sst is tk ito out Figur 3 shows th iput rsist with rspt to th thikss t for th four ss It is Figur 3 Siultios o th iput rsist gist th diffrt groud-pl thikss

6 76 Ch d Hirsw REFERENCES Figur 4 Evlutd rsot frqu of th DRA sst with th diffrt groud-pl thikss Figur 5 A opriso of th dwidth of th DRA sst with th diffrt groud-pl thikss ifst tht th iput ipd drss quikl s th thikss t irss Coprig th urvs, w s tht lrgig th r of th prtur, for xpl, fro of Cs 1 to of Cs 4, grtl hs th iput rsist wh th thikss t is fixd Howvr, th lrgr th r of th prtur is, th highr th rsot frqu is, s dostrtd i Figur 4 Th rsot frquis rh th diffrt rti vlus, for xpl, 36 GHz for Cs 1, wh th groud pl is thik ough Coprd to th iput rsist d th rsot frqu, th ipd dwidth is vr ssitiv to th thikss t Usull, th pks of thir dwidth for ll of th four ss r out 75% It is lso otd tht th dwidth is ot th rodst for th optiizd dsig i Tl I TABE I Th DRAs with Optiizd gth d s for Diffrt Thikss t Cs No t s SA og, MW Mllistr, d C Sh, Th rsot lidril diltri vit t, IEEE Trs Ats d Propgtio AP , MW Mllistr d SA og, Rsot hisphril diltri t, Eltro tt , G Zhou, AA Kishk, d AW Gilisso, Iput ipd of hisphril diltri rsotor t xitd oxil pro, IEEE Ats d Propgtio Soit Itrtiol Sposiu Digst 1993, KW ug, KM uk, KYA i, d D i, Thor d xprit of oxil pro fd hisphril diltri rsotor t, IEEE Trs Ats d Propgtio AP , GP Jukr, AA Kishk, d AW Gilisso, Iput ipd of diltri rsotor ts xitd oxil pro, IEEE Trs Ats d Propgtio AP , JT St Mrti, YMM Atr, AA Kishk, A Ittipioo, d M Cuhi, Diltri rsotor ts usig prtur ouplig, Eltro tt , AA Kishk, A Ittipioo, YMM Atr, d M Cuhi, Diltri rsotor ts fd slot i th groud pl of irostripli, IEEE Ats d Propgtio Cofr Pulitio, Prt I, o 370, , Mrh KW ug, KM uk, KYA i, d D i, Thor d xprit of prtur-oupld hisphril diltri rsotor t, IEEE Trs Ats d Propgtio AP , GP Jukr, AA Kishk, d AW Gilisso, Iput ipd of prtur-oupld diltri rsotor ts, IEEE Trs Ats d Propgtio AP , PR Hddd d DM Pozr, Chrtriztio of prtur oupld irostrip pth t with thik groud t, Eltro tt , KW ug, ZN Ch, KM uk, d EKN Yug, Aprtur-oupld diltri rsotor t with thik groud pl, IEEE Trs Ats d Propgtio AP , RF Hrrigto d JR Mutz, A grlizd twork forultio for prtur prols, IEEE Trs Ats d Propgtio AP , RW o d AJ gstr, Effiit ot thod lsis of rditig slots i thik-wlld rtgulr wvguid, IEE Prodigs, vol 18, prt H, o 4, pp 19705, August DM Pozr d SD Trgoski, Iprovd ouplig for prtur oupld irostrip ts, Eltro tt ,

7 Aprtur-Coupld DRA o Thik Groud Pl 77 BIOGRAPHIES Zhi Nig Ch ws or i Njig, Popl s Rpuli of Chi H rivd th BS Eg, MS Eg, d PhD dgrs ll i Eltroi Egirig fro Istitut of Couitios Egirig ICE, Njig, i 1985, 1988, d 1993, rsptivl Fro 1988 to 1993, h ws Thig Assistt d turr i th ICE Fro 1993 to 1995, h workd s Postdotorl Fllow, d th ws ppoitd Assoit Profssor i th Dprtt of Rdio Egirig of th Southst Uivrsit, Njig Aftr M 1995, h workd s rsrhr i th Dprtt of Eltroi Egirig of th Cit Uivrsit of Hog Kog Fro 1997 to 1999, h ws wrdd s Postdotorl Fllow supportd th Jp Soit for th Prootio of Si JSPS d workd t th Istitut of Ifortio Sis & Eltrois of th Uivrsit of Tsuku, Jp Currtl, h is workig s Mr of Thil Stff t th Ctr for Wirlss Couitios of th Ntiol Uivrsit of Sigpor His i rsrh itrsts or th rs of oputtiol ltrogtis d ouitios t Si 1988, h hs pulishd ovr 70 thil pprs i vrious jourls d t ofr prodigs Dr Ch is r of IEEE Kzuhiro Hirsw rivd th PhD dgr i ltril girig fro Srus Uivrsit, Srus, NY, i 1971 Fro 1967 to 1975, h ws with th Dprtt of Eltril d Coputr Egirig, Srus Uivrsit Fro 1975 to 1977, h ws osultt o rsrh d dvlopt of vrious ts Si 1978, h hs with th Uivrsit of Tsuku, Jp Currtl, h is Profssor i th Istitut of Ifortio Sis d Eltrois His rsrh itrsts ilud vit-kd slot ts, irulrl polrizd ts, oil ts d dptiv rrs H is th o-uthor of Sll Ats UK: Rsrh Studis Prss, 1987, Alsis, Dsig d Msurt of Sll d ow- Profil Ats USA: Arth Hous, 1991, d Sll d Plr Ats i Jps Jp: IEICE, 1996 Dr Hirsw is r of IEEE d IEICE