GUC (Dr. Hany Hammad) 10/17/2016

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1 GU Dr. ny d /7/6 Ltur # 5 irulr wvguid Sphril rdints. Bsi Antnn Prtrs Pttrns B Ar Rditin Intnsity B ffiiny Dirtivity ffiiny Gin Bndwidth Antnn Fild ns Dr. ny d, Grn Univrsity in ir irulr Wvguid irulr Wvguids TM ds. T ds. Lsss. Mds. Dr. ny d, Grn Univrsity in ir OMM 7 Ltur #3

2 GU Dr. ny d /7/6 OMM 7 Ltur #3 Dr. ny d, Grn Univrsity in ir irulr Wvguid TM-ds = r = diltri ndutr Assu,, ylindril rdints Dr. ny d, Grn Univrsity in ir irulr Wvguid TM-ds = Frwrd Bwrd s sin s nstnts sin sin s s s s 3 Th rss stin is irulr nd rdingly it is sytril fr ny vlu f s 3

3 GU Dr. ny d /7/6 irulr Wvguid TM-ds = Y 5 6 Bssl Funtin f th st typ Bssl Funtin f th nd typ Dr. ny d, Grn Univrsity in ir 6 5 irulr Wvguid TM-ds = 3 s 5,, x s t Tngntil t th surf t x s U n is th rts f n U n Ordr f Bssl Funtin Th rt nubr U Dr. ny d, Grn Univrsity in ir n U Th first TM d.448 n r U 3 OMM 7 Ltur #3 3

4 GU Dr. ny d /7/6 OMM 7 Ltur #3 4 Dr. ny d, Grn Univrsity in ir irulr Wvguid TM-ds = Th thr fild pnnts gtm Dr. ny d, Grn Univrsity in ir irulr Wvguid TM-ds = sin x s,, x s x sin x s x

5 GU Dr. ny d /7/6 OMM 7 Ltur #3 5 Dr. ny d, Grn Univrsity in ir irulr Wvguid T-ds =,, s,, x xt S prdur s bfr t Tngntil t th surf s x sin x sin x s x s x U n Dr. ny d, Grn Univrsity in ir irulr Wvguid T-ds = r U n n n U.84 Dinnt d x s x sin x sin x s x s

6 GU Dr. ny d /7/6 irulr Wvguid T-ds = Lw lss d T K x x N urrnt x K Dr. ny d, Grn Univrsity in ir irulr wvguid lsss Dr. ny d, Grn Univrsity in ir OMM 7 Ltur #3 6

7 GU Dr. ny d /7/6 irulr wvguid filds Dr. ny d, Grn Univrsity in ir Sphril rdints A r, A, A A A A r r Rng r Mgnitud A Ar A A Orthgnl r r r r r Dr. ny d, Grn Univrsity in ir r OMM 7 Ltur #3 7

8 GU Dr. ny d /7/6 Bsi Antnn Prtrs A rdi ntnn y b dfind s th strutur ssitd with th rgin f trnsitin btwn guidd wv nd fr-sp wv, r vi vrs. Antnns nvrt ltrns t phtns, r vi vrs. Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill Rditin Rsistn Th ntnn pprs t th trnsissin lin s rsistn R r = Rditin Rsistn. Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill OMM 7 Ltur #3 8

9 GU Dr. ny d /7/6 Rditin Pttrns Th rditin pttrns, r thr-dinsinl quntitis invlving th vritin f fild r pwr s funtin f th sphril rdints θ nd φ. Th sptil distributin f rditd nrgy s funtin f bsrvr s psitin lng pth r surf f nstnt rdius. ltri Fild, fθ,φ Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill Rditin Pttrns Th rditin lb ntining th dirtin f xiu rditin A rditin lb in ny dirtin thr thn th intndd lb Minr lbs Rprsnt rditin in undsird dirtin A rditin lb whs xis s n ngl f pprxitly 8 with rspt t th b f n ntnn Dr. ny d, Grn Univrsity in ir OMM 7 Ltur #3 9

10 GU Dr. ny d /7/6 Rditin Pttrns Istrpi Rditr: A hypthtil lsslss ntnn hving qul rditin in ll dirtins. Dirtinl Rditr: Rdit r riv ltrgnti wvs r fftivly in s dirtins thn in thrs. Onidirtinl: ving n ssntilly nn-dirtinl pttrn in givn pln nd dirtinl pttrn in ny rthgnl pln. Aiuth Pln: fπ/,φ lvtin Pln: fθ,nstnt Dr. ny d, Grn Univrsity in ir Blnis, Antnn Thry 3 rd d., Wily Prinipl Pln Pttrns Any fild pttrn n b prsntd in thr-dinsinl sphril rdints, r by pln uts thrugh th inlb xis. Tw suh uts t right ngls, lld th prinipl pln pttrns s in th x nd y plns y b rquird but If th pttrn is sytril rund th xis, n ut is suffiint. Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill OMM 7 Ltur #3

11 GU Dr. ny d /7/6 Prinipl Pln Pttrns -pln pttrn: Th pln ntining th ltri-fild vtr nd th dirtin f xiu rditin. -pln pttrn: Th pln ntining th gnti vtr nd th dirtin f xiu rditin Dr. ny d, Grn Univrsity in ir Blnis, Antnn Thry 3 rd d., Wily lf Pwr nd First Null B Widths PBW = lf Pwr B Width FNBW = First Null B Width Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill OMM 7 Ltur #3

12 GU Dr. ny d /7/6 Plr & Rtngulr Pttrns Rtngulr Plr Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill Nrlid fild nd pwr pttrns Nrlid fild pttrn, n,, x dinsinlss Th hlf-pwr lvl urs t ths ngls θ nd fr whih θ θ, n = / =.77. Nrlid pwr pttrn P, n S, S, x, S, Pynting Vtr, W - S, Mxiu vlu f S, W - x Intrinsi ipdn f sp = Dr. ny d, Grn Univrsity in ir OMM 7 Ltur #3

13 GU Dr. ny d /7/6 xpl 6- An ntnn hs fild pttrn givn by Find th hlf-pwr bwidth PBW s fr 9 Slutin s PBW Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill xpl 6- An ntnn hs fild pttrn givn by s s fr 9 Find th hlf-pwr bwidth PBW nd b th bwidth btwn first nulls FNBW Slutin s s s s s s Slv by itrtin PBW 4 Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill OMM 7 Ltur #3 3

14 GU Dr. ny d /7/6 xpl 6- b s s s s s s 45 FNBW 9 Dr. ny d, Grn Univrsity in ir Krus & Mrhf, Antnns 3 rd d., MGrw ill OMM 7 Ltur #3 4

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