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DALHM MEETING July 29-30, 2004 FORTH Heraklion, Crete, GREECE
29/07/2004 DALHM Meeting
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SRR and Closed SRR transmission measurements.
Outline SRR and Closed SRR transmission measurements. True left-handed transmission band for 1D CMM. 2D CMM Transmission Measurements. Negative refraction of -1D CMM Wedge structures. -2D CMM Wedge structures. Phase measurements of 1D CMM structures. 29/07/2004 DALHM Meeting
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Parameters of SRR Structures
d Single SRR Parameters: r1 = 2.5 mm r2 = 3.6 mm d = w = 0.2 mm t = 0.9 mm t r2 r1 w Periodic SRR Medium Parameters: ax = ay =8.8 mm az = 6.5 mm Nx = 5 Ny = 15 Nz = 20 y z x 29/07/2004 DALHM Meeting
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Parameters of Wire Structures Continuous wire structure
y z x L=12 cm Periodic Wire Medium Parameters: ax = 8.8 mm az = 6.5 mm Nx = 5 Nz = 20 r = 0.9 mm Continuous wire structure (Same with SRR Medium) 29/07/2004 DALHM Meeting
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SRR, Closed SRR and CMM 29/07/2004 DALHM Meeting
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Experimental Setup for Transmission Measurements
Network Analyzer 8510C 29/07/2004 DALHM Meeting
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SRR and Closed SRR Transmission Spectrum
A bandgap in the transmission spectrum of SRR medium may be due to negative or negative μ or due to the periodicity. The ambiguity can be lifted by using a structure in which the splits in the ring resonators are closed (CSRR). CSRR will destroy the magnetic resonance but still keep the electric resonance. A gap present in SRR but not in CSRR will then correspond to μ < 0. 29/07/2004 DALHM Meeting
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SRR’s Dielectric Response and Plasma Frequency Shift
SRRs exhibit also resonant electric response. The behavior is similar to that of a periodic cut-wire medium. As a result, the SRRs contribute to the effective permittivity of the CMM, causing a downward shift on the plasma frequency determined solely from wire structures. To demonstrate this effect, a CMM consisting of periodic alternating layers of CSRRs and wires is used. 29/07/2004 DALHM Meeting
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1D CMM Transmission Spectrum
The CMM structure allows propagation of EM waves between 3.6 and 4.1 GHz, where both and μ are negative. The CMM pass band exactly coincides with the stop band of SRR. The transmission peak at 3.9 GHz is -1.2 dB. This work is submitted to Optics Letters. 29/07/2004 DALHM Meeting
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5 Layer 2D CMM Structure ax = ay = az = 9.3 mm Nx = 5 Ny = 20 Nz = 40
Periodic SRR Medium Parameters: ax = ay = az = 9.3 mm Nx = 5 Ny = 20 Nz = 40 x y z 5 unit cells and 4 perpendicular boards in the propagation direction. 29/07/2004 DALHM Meeting
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2D CMM Transmission Spectrum
A transmission peak for 2D 5 Layer CMM is observed inside the bandgap of SRR. Peak value is dB at 3.92 GHz. 29/07/2004 DALHM Meeting
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1D Wedge Structure # of Layers at x direction = 39
z x # of Layers at x direction = 39 # of Layers at y direction = 20 Maximum # of Layer at z direction = 15 Minimum # of Layer at z direction = 3 Average # of Layer at z direction = 9 29/07/2004 DALHM Meeting
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1D Wedge Structure Top view z y x
Wedge is constructed with a spacing of 6.5 mm at x direction. 3 layers at x direction has same number of layers at z direction. Then number of layers at z direction is reduced one which can be also called 3 by 1 structure. 29/07/2004 DALHM Meeting
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θ=250 1D Wedge Structure Positive Refraction Negative Refraction
1D wedge structure has an angle of 250. 29/07/2004 DALHM Meeting
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Experimental Setup for Negative Refraction Measurements using Wedge Structures
Two horn antennas are used in the experiment. Transmitter antenna is 2λ away from the surface of CMM structure. Receiver antenna, at a distance 7λ away from the oblique surface, is attached to a rotating arm to achieve angular scanning. 29/07/2004 DALHM Meeting
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1D Wedge Refraction Spectrum
EM waves are refracted mostly at negative angles at interested frequency range. 29/07/2004 DALHM Meeting
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1D Wedge Refraction Spectrum
29/07/2004 DALHM Meeting
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θ=260 2D Wedge Structure x z y # of Layers at x direction = 34
# of Layers at y direction = 20 Maximum # of Layer at z direction = 19 Minimum # of Layer at z direction = 3 Average # of Layer at z direction = 11 Wedge is constructed with a spacing of 9.3 mm at x direction. 2 layers at x direction has same number of layers at z direction. Then number of layers at z direction is reduced one. 29/07/2004 DALHM Meeting
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2D Wedge Refraction Spectrum
EM waves are refracted mostly at negative angles at interested frequency range. 29/07/2004 DALHM Meeting
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2D Wedge Refraction Spectrum
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Experimental Setup for Transmission Measurements
Network Analyzer 8510C 29/07/2004 DALHM Meeting
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Transmission of Right-Handed part
29/07/2004 DALHM Meeting
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Phase Data for Right-Handed part
Phases of different number of layers at the right-handed frequency region of the spectrum. Note that phase increases with the increasing number of layers as expected. 29/07/2004 DALHM Meeting
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Transmission of Left-Handed part
29/07/2004 DALHM Meeting
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Phase Data for Left-Handed part
Phases of different number of layers at the left-handed frequency region of the spectrum. Note that phase decreases with the increasing number of layers. 29/07/2004 DALHM Meeting
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Phase Difference for Left-Handed part
Phase differences between different number of layers. Negative phase difference is observed. 29/07/2004 DALHM Meeting
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Phase Difference for Left-Handed part
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Phases of two adjacent number of layered CMMs
Change of phases throughout the spectrum is seen easily. After 4.3 GHz material behaves as a right-handed material. 29/07/2004 DALHM Meeting
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Phases of two adjacent number of layered CMMs
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100 GHz process and measurement.
Future Work 100 GHz process and measurement. Negative Refraction measurements using a 2D CMM Slab. Phase Measurements of 2D CMM structures. 29/07/2004 DALHM Meeting
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