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MURI Teleconference 5/28/04. Professor Tatsuo Itoh. Electrical Engineering Department University of California, Los Angeles. Agenda. Voltage scanned Leaky Wave Antenna Near Field Focusing using Non-uniform Leaky Wave Antenna 2D Mushroom Structure Planar Lens Surface Plasmon
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MURI Teleconference 5/28/04 Professor Tatsuo Itoh Electrical Engineering Department University of California, Los Angeles
Agenda • Voltage scanned Leaky Wave Antenna • Near Field Focusing using Non-uniform Leaky Wave Antenna • 2D Mushroom Structure • Planar Lens • Surface Plasmon • Leaky Wave Antenna • Generalized Transmission Matrix Method
Composite Right / Left-Handed (CRLH) TL Infinitesimal Circuit Model Transmission Line Representation Propagation Constant Balanced Case
Motivation of Electronically-Scanned LW Antenna • Conventional LWA • Frequency dependent scanning • Conventional Electrically-Scanned LWA • Frequency independent scanning • Only two discrete states are possible • Waveguide configuration with PIN diode • Conventional Magnetically-Scanned LWA • Frequency independent scanning • Biasing DC magnetic field NOT practical • Waveguide configuration • Novel Electronically Scanned LWA • Frequency independent scanning Efficient Channelization • Continuous scanning capability • Microstrip technology Low profile R. E. Horn, et. al, “Electronic modulated beam steerable silicon waveguide array antenna,” IEEE Tran. Microwave Theory Tech. H. Maheri, et. al, “Experimental studies of magnetically scannable leaky-wave antennas having a corrugated ferrite slab/dielectric layer structure,” IEEE Trans. AP. L. Huang, et. al, “An electronically switchable leaky wave antenna,” IEEE Trans. AP.
The Principle of the Proposed Idea : Radiation Angle Control • Scanning angle is dependent on inductances and capacitances Introducing varactor diodes • Capacitive parameters are controlled by voltages Dispersion curves are shifted vertically as bias voltages are varied Radiating angle becomes a function of the varactor diode’s voltages
Modified Layout of a Microstirp CRLH TL Unit cells • Series and Shunt Varactors Fairly constant characteristic impedance Additional degree of freedom for wider scanning range • Reverse biasing to Varactors Anodes of varactors : GND Cathodes of varactors: Biasing
+ - - + + Prototype of 30 Cell Proposed TL Bias Configuration • The cathodes of three varactors in the same direction Efficient biasing: Only one bias circuitry in unit cell • Back to back configuration of two series varactors Fundamental signals : in phase and add up Harmonic signals: out of phase and cancel • Port 1 : Excitation Port 2: Terminated with 50 ohms Suppress undesired spurious beams
Continuous Scanning Capability at 3.33 GHz V = 18 V LH ( β < 0) V = 3.5 V Broadside ( β = 0 ) V = 1.5 V RH ( β > 0) • Scanning Range Δθ = 99º (-49º to +50º) Backward, forward, and broadside • Biasing Range ΔV = 21 V ( 0 to 21 V) • Fixed operating frequency : 3.33 GHz • Good agreement with theoretical and experimental results
Performance as a LW Antenna • High directivity : One of attractive characteristic of LW antennas Achieved by increasing the number of cells Large radiation aperture • Antenna dimension : Maximum Gain : 18 dBi at broadside ( V = 3.5 V )
fi=-Ezi(RiF)+Ez(rF) ~ k0|RiF|+constant ~ Focusing by a Planar Non-Uniform LW Interface Principle Dipole array model for the TX antenna d0 = l0/2 F = 6l0. E-Field of a Dipole E-Field Maximization
Effects of Different Array Length. 0 0 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 -12 -12 -14 -14 -16 -16 -18 -18 L=12l0 L=12l0 4 0 -2 2 4 0 6 8 2 10 4 12 L=30l0 L=30l0 Normalized Electric Field (dB) Normalized Electric Field (dB) x(l0)(z=0) z(l0)(z=0) F = 6l0 L = 12l0 L = 30l0 z(l0) z(l0) dB
Piece-Wise Linear Approximation fi~ k0|RiF|+constant ~ F = 6l0 L = 30l0 dB
Effects of Leakage Factor Willkinson power divider Non-uniform LW antenna F = 6l0 L = 30l0 Prototype
Passive, planar and non-uniform LW focusing interface • Simplified phased-array model of the non-uniform LW structure • Optimized phase distribution for focusing • Focusing by a thin planar passive interface instead of a bulk of LH material or active components
Realization of 2D Metamaterials 2D Lumped Element Structure: Meta-Circuit (“closed”) LH 2D interconnection Chip Implementation RH 2.5D Textured Structure: Meta-Surface (“open”) Enhanced Mushroom Structure Uniplanar Interdigital Structure top patch via sub-patches ground plane
Analysis of the Periodic 2D TL Ingredients: Unit cell representation and parameters Transmission or [ABCD] Matrixes: relate In/out I/V Kirchoff’s Voltage/Currents Laws: Linear Homogeneous System in Bloch-Floquet Theorem: relates in/out phases, Brillouin zone resolution → dispersion diagram: NB: can be solved numerically (fast) or analytically (insight)
Negative Refractive Index of Mushroom Structure Positive / negative refractive index 10 Open top caps 5 0 Frequency (GHz) ground plane n= c0 b /w Absolute refractive index –5 vias G – M –10 dispersion diagram G – X TM0TEM if h/<<1 dielectric line –15 air line –1.0 –0.5 0 0.5 1.0 quasi-TE Electric field distribution, | E | source quasi-TEM focus strong C (MIM) mixed RH / LH refocus
RH CRLH LH HIGH-PASS GAP Parameter Extraction Method • How to determine: LR, CR, LL, CL • - Full-wave analysis: ωΓ1, ωX1, ωM1 • Compute ωse, ωL, ωR, ωsh,ωLωR = ωsh ωse • - Compute Bloch impedance ZB= fct(ωX1) • Insert ZB(ωX1) to determine • Finally, using ,
Plane Wave to Cylindrical Wave Effective Medium Full-Wave Demonstration Paraboloidal “Refractor” Principle nI > nII: Hyperbola nI < nII: Ellipse nI = -nII: Parabola Mushroom Implementation
Full-Wave Demonstration of Microwave Surface Plasmon ATR-Type Setup (PPWG) 2D CRLH Metamaterial Constitutive Parameters and Dispersion Effective Medium Demonstration
2D Mushroom-Structure Leaky-Wave a Dispersion Diagram RH M X Γ fΓ2 fΓ1 LH Γ M Γ X Equivalent CRLH circuit Unit cell
2D Mushroom-Structure Leaky-Wave cont’d 2D Dispersion Diagram Isotropy RH LH Γ Γ β = 0.1π/a RH M X Γ fΓ2 fΓ1 LH Γ X M Γ
Conical Beam Operation Prototype (top view) Measured Radiation Patterns RH LH center excitation Radiation Principle β β RH Radiation Angle vs Frequency vp vp θ θ β β LH vp vp θ θ
Full-Scanning Edge-Excited 2D-LW Antenna E.g. Hexagonal 3-ports antenna surface each port scans from backfire-to-endfire N-ports = N-edges/2
Array Factor Approach of LW Structures Phased Array Leaky-Wave Structure DISCRETE EFFECTIVELY HOMOGENEOUS • linear phase : uniform structure • exponentially decaying magnitude: • excitation: induced by propagation • array factor: • linear phase: • constant magnitude: • excitation: feed at each element • array factor: directivity N
2D network decomposed into N columns of M unit cells • each column column transmission matrix [T]; [T]tot = [T]N • unit cell parameters known from extraction [T] [T]tot CRLH Generalized Transmission Matrix Method (GTMM)
12 12 network GTMM – Global S-Parameters: Examples CRLH unit cell Test parameters
Dispersion Diagram Frequency (GHz) Currents distributions 21 21 network GTMM – Fields Distributions, Example, 2D, g