Time Domain Modelling of Electromagnetic Field Propagation via Wave Potentials
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1 BP: Compaioal lecomageics Time Domai Modellig o lecomageic ield Popagaio via Wave Poeials N. Geogieva Y. Rickad McMase Uivesi McMase Uivesi Depame o lecical ad Compe gieeig McMase Uivesi 8 Mai See Wes amilo, Oaio L8S 4K, CND Tel: / e. 74 a: mail: alia@mcmase.ca, ickad@spi.ca
2 Geealised Theo o Veco Poeials i Time-Domai lecodamics Lossless ihomogeeos medim,, σ, σ m : + B D J ρ J Φ D B M m ρ M Ψ
3 Geealised Theo o Veco Poeials i Time-Domai lecodamics co d Φ + + J Ψ + + M Φ Loe Gage Ψ ad σ : ad σ m : J M omogeeos loss medim, ad σ, σ m : σ J σ m M Φ + σφ Ψ + σ Ψ m 3
4 M ields i Tems o Wave Poeials M ields i ems o he mageic veco poeial [3] ˆ ˆ û, Φ Φ Φ Φ Φ Towads he ew wo-poeial wo-scala model û û ˆ ˆ M Φ Ψ û Ψ 4
5 M ields i Tems o Wave Poeials co d û ; û ˆ ˆ û Φ Ψ û û û û The TM ield The T ield Goveig eqaios o he wave poeials: ihomogeeos, loss medim σ σ m M J û : + + 5
6 Soces ad Boda Codiios Tasvese ce soces, i pese, have o be asomed [9] Dielecic ieaces û J M û M J Mageic wall lecic wall Ψ Φ M J + + 6
7 Space-Time iie-dieece Disceiaio i a Recagla Mesh + / ẑ ẑ q h c Nmeical specs o he iie Dieece Implemeaio dvaages * The ield is ll descibed ol b he wo wave poeials, ad. * The wave poeials ae decopled ecep a discoiiies sch as codcig edges, wedges ad cove cvaes depedig o he boda codiios. * The wave poeials ae smoohe cios o space i compaiso wih ield qaiies. * The, model povides CPU ime impoveme. NUMBR O LOTING POINT OPRTIONS / CLL DTD TD-WP, mli 6 sm 4 oal 3 7
8 amples/veiicaio Recagla Wavegide a 3 cm b.5 cm TM modes T modes ciaio: [5] e BW si ω π π π BW a a cos + a cos a3 cos 3 N N N b a a.4889 a.48 a 3.68 a ime sep eqec [G] ciaio plse Specm o he eciaio plse 8
9 Recagla Wavegide co d domia mode wavelegh ad wave impedace 5 λg cm 5 5 heo TD-WP Zw Ω 5 heo TD-WP eqec G 9
10 Righ-gle Wavegide Bed The ip ad he op wavegides ae ideical a 3 cm, b.5 cm bee choice o poeials ol oe scala poeial cio compoe o he icide ield, 6 h mv
11 Righ-gle Wavegide Bed co d compoe o he ield a he bed, h mv Releced ad asmied compoe o he ield, 9 h mv
12 Righ-gle Wavegide Bed co d.. P SS TD-WP. S ad S eqec G
13 Micosip Lie iiiesimall hi sip Sce w.6 mm h.6 mm 9.6 h w The poeial a he sip plae, 6 / h /cm 3
14 The ield compoe hal a sep below he sip plae, 6 V/cm The ield compoe hal a sep below he sip plae, 6 /cm 4
15 Dispesio Chaaceisics Relaive gide wavelegh λ /λ g λ /λ g omla o ammesad & Jese [6] omla o Pamaick & Bhaia [7] Kaehi ad leopolos MoM [8] TDWP eqec G 5
16 Micosip Lie co d Chaaceisic impedace 9 8 Zc Ω omla o ammesad & Jese [6] omla o Pamaick & Bhaia [7] Kaehi ad leopolos MoM [8] TDWP 6 8 eqec G 6
17 Reeeces. James Clek Mawell, Teaise o lecici ad Mageism, Dove Pblicaios, Ic., New Yok, 954, vol.. Roge. aigo, Time amoic lecomageic ields, McGaw-ill Book Compa, Ic., New Yok, N. Geogieva ad. Yamashia, Time-Domai Veco-Poeial alsis o Tasmissio Lie Poblems, I Tas. O Micowave Theo ad Tech., vol. 46, No 4, pp. 44-4, pil lle Talove, Compaioal lecomageics The iie-dieece Time- Domai Mehod, ech ose, J. ais, O he Use o Widows o amoic alsis wih he Discee oie Tasom, Poc. I, vol. 66, No, pp. 5-83, Ja D.M. Poa, ea Desig Usig Pesoal Compes, ammesad ad O. Jese, ccae Models o Micosip Compe-ided Desig, I MTT-S I. Micowave Smp. Diges, pp , P.B. Kaehi ad N.G. leopolos, eqec-depede Chaaceisics o Micosip Discoiiies i Millimee-Wave Iegaed Cicis, I Tas. O Micowave Theo ad Tech., vol. 33, No, pp. 9-35, Oc Robe. Colli, ield Theo o Gided Waves, I Pess, 99 7
18 ppedi: Boda Codiios co d The absobig bodaies: se Liao eapolaio scheme 3 d ode [4] 3,, 3, 3 D D 3 D D D +, + D D 8
EE757 Numerical Techniques in Electromagnetics Lecture 8
757 Numerical Techiques i lecromageics Lecure 8 2 757, 206, Dr. Mohamed Bakr 2D FDTD e i J e i J e i J T TM 3 757, 206, Dr. Mohamed Bakr T Case wo elecric field compoes ad oe mageic compoe e i J e i J
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