Contents T 2. Fabry-Perot Model : Space Response. Fabry-Perot Model : Space Response D 2. T 2n int = Text. Space and Frequency Response

Transcription

1 st Pat : Plana EBG stuctues The diectivity is elated to the of the EBG stuctue - I. Intoduction - Theoy of plana EBGs - - Faby-Peot Model Multilaye cavity Fequency esponse Space esponse Relation between Fequency and, - - I Some emaks and comments Realisations and Applications of plana EBGs Faby-Peot Model Faby-Peot Model : Fequency Response, t, t (, t (, t (, t (, t Plane Wave Souce tan( Faby-Peot Cavity at Nomal incidence Fixed Vaiable fequency Faby-Peot Cavity at Inclined incidence Fixed fequency Vaiable (/tan z x y Souce ponctuelle (//cos (/tansin( Suface Semi Réfléchissante (SSR Faby-Peot Model : Multilaye EBG stuctue with INTERNAL souce T n = n = t exp jk(n + tan sin cos t exp jk = T exp( jk cos cos t exp jk exp ( jkcos Space and Fequency Response cos T = - t e e -jk/ -jk Fequency Response T n = Plane wave souce n layes Text n e -Rext n e -jk( cos -jkcos Space and Fequency Response

2 Space esponse of a single Faby-Peot cavity with INTERNAL souce Space esponse of Faby-Peot cavity at esonance fequency f = mm, = mm vaiable = mm, = mm vaiable.. =.. = Space esponse of single Faby-Peot cavity with INTERNAL souce st Pat : Plana EBG stuctues π/ π/. π/ π/. π/. π -π/ -π/ -π/ -π/ π/ I. Intoduction I Theoy of plana EBGs Faby-Peot Model Multilaye cavity Fequency esponse Space esponse Relation between Fequency and, Some emaks and comments Realisations and Applications of plana EBGs Bandwidth-Beamwidth Bandwidth-Beamwidth... Bandwidth and beamwidth of the Faby-Peot antenna at esonance fequency f = f - - cos t exp jk T exp ( jkcos Bandwidth and beamwidth of the Faby-Peot antenna at esonance fequency f f n Q n = f,n ( ϕ + nπ = ( nπ + accos ϕ Q (, cos t exp jk T exp ( jkcos ϕ,n = accos accos ϕ + nπ ϕ + nπ f = Q f, n accos ϕ ( ( HPBW (ad = Bandwidth (%

3 Bandwidth-Beamwidth HPBW (ad = Bandwidth (% HPBW ( Bandwidth (/Q ~π/( ² %. =. %.. =. %. = ϕ Q (... Space esponse of a single Faby-Peot fo fequencies highe than f = mm, = mm = vaiable =.. π π/ -π/ π/ -π/ -π/. π/.. -π/ π/ π/ Radiation Patten at f = f > f (.. (. - - ( ( Beam steeing capability of FP cavity = Angle de dépoage s(.... Féquence ( ( (.... Multilaye EBG stuctue with EXTERNAL souce Unique lobe up to F Nomal Incidence = F F F.... F F F Fequency (.... Space filteing F n = F F - Space filteing : Unique lobe Pola coodinate n = F F F

4 .... F F F F F F Fequency ( F F F Nomal Incidence = F F F... Similitude between fequency and space esponse F... Space filteing F F Unique Beam! ual Beam Tiple Beam. F F. F Fequency ( F F F Summay Multilaye EBG stuctue with INTERNAL souce à = Less egula cuves Féquence ( n= Summay Single laye stuctue : Fequency Response = Faby-Peot model = Leaky wave model (function theoetic method Combination of Fequency- = unique and simple model Multilaye -EBG stuctue : Staight-fowad genaalisation by a ecusive method st Pat : Plana EBG stuctues I. Intoduction - Revisiting the diectiviy of Faby-Peot Cavity Reflecto Antennas : Vey lage adiating apetue with uni-phase field distibution, t Theoy of plana EBGs Faby-Peot Model Multilaye cavity Fequency esponse Space esponse Relation between Fequency and, high I Some emaks and comments Realisations and Applications of plana EBGs Simple eflecto Cassegain Faby-Peot Antenna (Von Tentini,

5 - - istibution of E field magnitude on the adiating apetue of FabyF aby-peot Antenna (Leaky wave behaviou EBG Antennas with PEC eflcto E(z z λ o. E(z àf f f s = -, t Ray method FT method No back adiation efect mode? f Compensating efects input impedance of FP antenna input impedance of FP antenna Plane wave enal souce SR (Semi-Reflecting Suface / / Zc I Zc g ZSR ZSR Input Impedance (plane wave (Ω Mixed Method Real pat - FT Imaginay pat Plane wave excitation Real pat Plane wave souce Imaginay pat x FT method Imaginay pat Line souce excitation Line souce + FP Cavity Line souce Real pat Line souce.... x input impedance of FP antenna Tige métallique de diamète a=mm Monopôle de longueu LM iamète=mm input impedance of Multilaye EBG antennas Monopole Excitation L R=mm tiges Plan de masse infini =mm L T=mm Pt=mm FT method S ( S ( S ( Monopôle seul - - Monopôle seul - Monopôle seul Monopôle avec Monopôle avec Monopôle stuctue avec - - stuctue - - stuctue f f - Adaptation monopôle seul et monopôle avec tiges métalliques L M =.mm (. λ L M =.mm (. λ x.... x

6 Limite of validation of the FP method Limite of validation of the FP method t E t +ps t +ps d min= t + ps t +ps Chaacteisation of the Semi-Reflecting suface composed of metallic od - Limite of validation of the FP method st Pat : Plana EBG stuctues d.... t =Pt/ FT Méthode hybide Pt/λ Pt/λ.. t FT Méthode hybide =Pt/ I. Intoduction Theoy of plana EBGs Faby-Peot Model Multilaye cavity Fequency esponse Space esponse Relation between Fequency and, = / d/ =% = / d/ =% I Some emaks and comments Realisations and Applications of plana EBGs