Metasurface Cloak Performance Near-by Multiple Line Sources and PEC Cylindrical Objects
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1 Metaurfae Cloa Performae Near-by Multiple Lie Soure ad PEC Cylidrial Objet S. Arlaagić, W. Y. amilto, S. Pehro, ad A. B. Yaovlev 2 Departmet of Eletrial Egieerig Eletromageti Sytem Tehial Uiverity of Demar 2 Ceter for Applied Eletromageti Sytem Reearh CAESR Departmet of Eletrial Egieerig, Uiverity of Miiippi
2 Outlie Bagroud & motivatio Overview of ofiguratio Cofiguratio I Multiple-oure Aalytial ad umerial model/olutio Reult Cofiguratio II Sigle oure ad PEC ylider Numerial model/olutio Reult Summary ad oluio 2
3 Bagroud & motivatio Eletromageti iviibility by metamaterial: the oordiate traformatio method the atterig aellatio method with a plamoi oatig, aomalou loalied reoae method, tramiio lie/waveguide tehique the atterig aellatio method by a metaurfae matle loa TIS WORK: Ifluee of more omple/realiti eitatio eario Two lie oure ear-by the ylider Aout o ear-by objet: PEC ylider [] 3
4 Cofiguratio - overview Cofiguratio I Cofiguratio II I e2 [A/m] ELS [A/m] I e PEC ELS 2 Dieletri ylider,,, / ELS r / Dieletri ylider I e [A/m] Meh-grid metaurfae PEC Z jd w l 2 2 D 4 D w
5 5 Cofiguratio I I e I e2 y, 2 2, 2,,,,,, o 4 ˆ J C I E e o 4 ˆ C I E e E j i 2 i E E E ] [ 2 i Z E 2' ' 2 Z j J J Z j J M M C B J Z j B J ' 2 4 ˆ 2 j e j i I E BC & olutio: Field: j j e e B FSS model: a ELS / m 3a 3b 2 4 : Curret tube 2: Cloaed dieletri 3: Symmetry E plae 4: PML D u A/m I e
6 Reult I Iitial aalytial reult [f. []]:,,, 2 y f 3 M / D /6 w / 2 M.m.625 m.5 m Z j48.9 D.625 m FSS model: w.5 m D / m f 34 M j49.6 Z ReE [V/m] - FSS ReE [V/m] Aalytial with FSS model data.2 m.2 m y= y= [m] Cloaig oberved! [m] Cloaig oberved! 6
7 Reult II Iitial aalytial reult [f., []]:,,, 2 y f 3 M / D /6 w / 2 M.m.625 m.5 m Z j48.9 D.625 m FSS model: w.5 m D / m f 34 M j49.6 Z Aalytial v. FSS ; ReE [V/m] ;.2 m f 34 M y= y= y= Free-pae No loa Cloa [m] [m] [m] 7 Eellet orrepodee betwee aalytial ad FSS reult model are verified! From ow o, oly FSS reult are how!
![Poytig vetor [W/m 2 ]](/docs-images/71/65976673/images/8-1.jpg "Reult III.")
![Cloa ReE [V/m] y P](/docs-images/71/65976673/images/8-3.jpg "radiated [W/m] = 555.")
![74 P radiated [W/m] =](/docs-images/71/65976673/images/8-4.jpg "229.82 P 26 8 Cloaig")
8 Poytig vetor [W/m 2 ] Reult III.2 m f 34 M FSS reult: Origi Free pae No loa Cloa ReE [V/m] y P radiated [W/m] = P radiated [W/m] = P radiated [W/m] = Cloaig ot jut alog the y-ai, but all obervatio poit outide the ylider! Near- ad far-field loaig!
![[W/m] = 747.6 P radiated [W/m] = 77.73 P radiated [W/m] = 739.](/docs-images/71/65976673/images/9-2.jpg "73 9 Cloaig oberved eept iide the ylider Similar reult obtaied by the aalytial model Cloa wor")
9 Reult IV Larger ditae!.5 m f 34 M FSS reult: ReE [V/m] Free pae No loa Cloa ReE [V/m] y ReE [V/m] - FSS P radiated [W/m] = P radiated [W/m] = P radiated [W/m] = Cloaig oberved eept iide the ylider Similar reult obtaied by the aalytial model Cloa wor for other eve loer ditae Near- ad far-field loaig! [m] Near-field ut alog the white lie : y=, a a futio of.
10 Cofiguratio II PEC ylider ofiguratio oly treated umerially! b : Cloaed dieletri ylider 2: PEC ylider 3: Curret tube ELS 4: Symmetry plae 5: PML
![[V/m] PEC PEC y E](/docs-images/71/65976673/images/11-4.jpg "[V/m] Near-field")
11 Reult I.2 m f 34 M b.25m Free pae No loa Cloa ReE [V/m] PEC PEC y E [V/m] Near-field ut will be how alog the white lie : =, a a futio of y.
![PEC PEC y E [V/m] 2 Near-field ut](/docs-images/71/65976673/images/12-2.jpg "will be how alog the white lie : =,")
12 Reult II.5 m f 34 M b.25m Free pae No loa Cloa ReE [V/m] PEC PEC y E [V/m] 2 Near-field ut will be how alog the white lie : =, a a futio of y.
13 Reult III b.25m f 34 M ReE [V/m] ReE [V/m].2 m.5 m y [m] y [m] I the y< half-pae the free-pae ad o loa bare ylider field differ a lot Cloaig i oberved mot otable i the y< half-pae Cloa performae i better for the larger oure ditae Cloa wor for other father a well a lightly loer loatio of the PEC ylider 3 ALEX: it ould be I will ru a PEC ylider ae with aother loatio of PEC ylider, to get more field variatio from the ae of bare ylider.
14 Summary ad oluio Thi will ome whe I get ba I wored too muh ow to mae oud ad lear oluio 4
15 Additioal reult I Cofiguratio I.2 m f 34 M Aalytial reult FSS reult o p. 8 I have them, but they are ot eeded, I uppoe. Note, I did ot mae ay ormaliatio whe omaprig FSS reult with Matlab, they fitted right o the pot from the very begiig. If you loo at olour plot they will differ beaue the olorbar are imply uig differet pa of olor to repreet ame field value ad I ay thi eve whe dyami rage i FSS ad Matlab are idetial!. Thi i why I would ot how the aalytial olor figure the verifiatio doe i term of ut hould be uffiiet for the preet purpoe. 5
16 Additioal reult II Cofiguratio I.5 m f 34 M Aalytial reult FSS reult o p. 9 I have them, but they are ot eeded, I uppoe. Note, I did ot mae ay ormaliatio whe omaprig FSS reult with Matlab, they fitted right o the pot from the very begiig. If you loo at olour plot they will differ beaue the olorbar are imply uig differet pa of olor to repreet ame field value ad I ay thi eve whe dyami rage i FSS ad Matlab are idetial!. Thi i why I would ot how the aalytial olor figure the verifiatio doe i term of ut hould be uffiiet for the preet purpoe. 6
17 Additioal reult III Cofiguratio II f 34 M.2 m.5 m b.25m Radiated power orrepodig to FSS reult o p. 3.2 m P radiated [W/m] = Free pae P radiated [W/m] = No loa P radiated [W/m] = 22.4 Cloa.5 m P radiated [W/m] = Free pae P radiated [W/m] = No loa P radiated [W/m] = Cloa Fit muh muh better that for the loer oure loatio ae! 7
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