Enhanced Transmission & Giant Faraday Effect in Metallic Magnetic Structures

Transcription

1 Enhanced Transmission & Giant Faraday Effect in Metallic Magnetic Structures Joshua D. Bodyfelt The Ohio State University Department of Electrical and Computer Engineering Electroscience Laboratory in collaboration with Kyle Smith & Andrey Chabanov University of Texas San Antonio Wesleyan University Physics Department Colloquium November 9th, 1

2 Synopsis I. Motivation from Integrated Photonics II. The Faraday Effect & Thin Metallic Films III. Electromagnetics of Stratified Media IV. Microwave Π-Phase Shift Defect Stacks V. Future Research Goals

3 Motivation from Integrated Photonics A Typical Node at Wesleyan, 7 Ethernet

4 Motivation from Integrated Photonics Optical Node-Node Interconnects (TOP5, 11) Infiniband Fiber Optics LNLL's Sequoia (TOP5 #)

5 Motivation from Integrated Photonics Commercial State-of-the-Art: Optical CPU & Node Interconnects (Now-15) Optical Switching w/ Avago MicroPOD IBM PERCS P775 System

6 Motivation from Integrated Photonics Commercial Goal: Full Optical Communication () CMOS Fabric of Amplifers, Modulators, WDMs, & Switches IBM SNIPER Project (1) Far Future: No Electrons! - Complete optics (processing, memory, communication)

7 The Faraday Effect [ [ ϵ1 +i γ e iα ϵ ν = i α ϵ1 +i γ e ϵz ] μ 1 +i γ m iκ μ ν= i κ μ1 +i γ m μz RHCP(-) = LHCP(+) + θ F Δ ϕ ν H d ] H ν d

8 The Faraday Effect [ [ ϵ1 +i γ e iα ϵ ν = i α ϵ1 +i γ e ϵz ] μ 1 +i γ m iκ μ ν= i κ μ1 +i γ m μz RHCP(-) = θ F Δ ϕ ν H d ] H ν d LHCP(+) + F=ω ϵν μ ν F ; F F e i ϕ e En Zeeman Effect ϕ (ϵ1 +i γe α) (μ1 +i γ m κ) F (1, i, )T H Good Isolator: θ F =π/ 4 (45 )

9 The Giant Faraday Effect Bi et al., Nat. Photonics 5, 758 (11) β ν H d H ν d 1 1 TGG: 1 rad T m InSb: 1 rad T m HgTe: 1 rad T m.1 rad / ato m Shuvaev et al., PRL 16, 1744 (11) Figotin & Vitebskiy, PRE 77, 1441 (8) Crassee et al., Nat. Phys. 7, 48 (11) Ramezani et al., Opt. Exp., 6 (1)

10 Thin Metallic Films - Cobalt [ μ iκ i σc ϵ ν = ϵ ω I, μ ν = i κ μ 1 μ=1+ ω M (ω H +i α ω) (ω H +i α ω) ω, κ= ωm ω (ω H +i α ω) ω ] ; ω H =γ H, ω M =γ M σ c = S m 1, γ=14 π 1 T 1 Hz, H. T, M =.14 T, α=.7

11 Thin Metallic Films - Cobalt [ μ iκ i σc ϵ ν = ϵ ω I, μ ν = i κ μ 1 μ=1+ ω M (ω H +i α ω) (ω H +i α ω) ω, κ= ωm ω (ω H +i α ω) ω ] ; ω H =γ H, ω M =γ M σ c = S m 1, γ=14 π 1 T 1 Hz, H. T, M =.14 T, α=.7 Ferromagnetic Resonance: ωm μ =μ κ=1+ ω H +i α ω ω H ω (1+α )ω ℜ(κ) ωm ω H (ω ω ) Magnetic Losses Circular Birefringence Smith & Chabanov, Intg. Ferroelec. 131, 66 (11)

12 Electromagnetics of Stratified Media For Each Stratum: ϵxx ϵxy ϵ xz ϵ( z )= ϵ yx ϵ yy ϵ yz ϵ zx ϵzy ϵzz [ μ xx μ xy μ xz μ( z)= μ yx μ yy μ yz μ zx μ zy μ zz [ ] ll Ce ] N ll e C ll 1 e C L3 L y x z n E ϕ n θn H βn L1 E (r)=e ( z) e i ω(n x x +n y y ) H (r )=H ( z)e i ω(n x x +n y y ) Maxwell's Equations [ ] [ E (r) =i ω μ( z) H (r) H (r) ϵ(z) E (r) ]

13 Electromagnetics of Stratified Media Third Row: Other Rows:

14 Electromagnetics of Stratified Media Third Row: Other Rows: Apply the Bookkeeping Operator...

15 Electromagnetics of Stratified Media Third Row: Other Rows: ;

16 Electromagnetics of Stratified Media Ψ I () Ψ R () T= j T j Ψ T ( L) Ψ T ( L) Ψ R (), R= Ψ T ( L)=T [ Ψ I ()+ Ψ R () ] T = Ψ I () Ψ I ()

17 Microwave Π-Phase Shift Defect Stacks Π-Phase Defect in N:N Stack Alumina LA ϵ A =1. I,μ A = I Air ϵ B=1. I,μ B= I LB (A B) (A B L j= )(A B) A λ 1 / 4 ϵj λ =4 cm f =7.5 GHz

18 Microwave Π-Phase Shift Defect Stacks

19 Microwave Π-Phase Shift Defect Stacks

20 Microwave Π-Phase Shift Defect Stacks 3C3 3C7C3

21 Future Research Goals Extended Study to NCMCN Chains Target: Wider Band & Higher Transmission Application: Wave-Division Multiplexing Oblique Incidence Target: Unidirectional Wideband Surfaces Application: WB Phased Antenna Array Apertures