Defected Ground

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    Design Applications of

    Defected Ground Structures

    Authored by:Jason YunPeter Shin

    Ansoft Corporation

    Ansoft 2003 / Global Seminars: Delivering Performance

    Presentation #9

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    w Introductionw DGS Definition and Characteristics

    w Design Challenge

    w Ansoft Design Solution

    w DGS Bandpass Filter Design

    w Design Procedurew Unit DGS Modeling and Analysis

    w DGS Bandpass Filter Design using Ansoft Designer and HFSS

    w DGS Bandpass Filter Design with an Additional DGS

    w Design applications using DGSw Lowpass Filter Design

    w Branch Line Coupler Design

    w Unequal Wilkinson Power Divider Design

    w Conclusion

    w References

    Outline

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    w A Defected Ground Structure (DGS) is an etchedlattice shape, which locates on the ground planew Evolution from Photonic Band Gap (PBG) Structure

    w Periodic or non-periodic

    w Easy to represent as an equivalent circuit (LC resonator)

    w Applicationsw Planar resonators

    w High characteristic impedance transmission line

    w Filter, Coupler, divider/combiner, Oscillator, Antenna. Power Amp.

    What is a DGS?

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    DGS Characteristics

    gw

    b

    a

    w Disturbs shielding fields on the ground plane

    w Increases effective permittivity

    w Increases effective capacitance and inductance of transmission line

    w One-pole LPF characteristics (3dB cutoff and resonance Frequency)

    w

    Four design parameters (a, b, g, and w) under given substrate

    S11

    S21

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    DGS Design Challenges

    w DGS has an arbitrary shape which locates on thebackside metallic ground plane

    w Accurate EM simulator is necessary

    w Equivalent circuit modeling

    w Equivalent circuit modeling is important for rapid design

    w Co-simulation or dynamic link is needed between EM andcircuit simulators to extract an equivalent circuit

    w Many design parameters

    w Automated parameter sweep

    w Powerful optimization

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    Ansoft DGS Design Solution

    Design Spec.equivalent circuit, cutoff, and resonance freq.

    System/CircuitMixed Circuit design(lumped,distributed)

    Planar EM2.5D pattern analysis

    HFSS v9.0Full 3D analysis

    Physical dimension

    (3-dimensional configuration : lattice dimension, gap

    distance and transmission line width, layer stackup)

    Ansoft provides the best solution for integration between physical

    design and circuit modeling.

    Ansoft Designer v1.1Ansoft Dynamic Link

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    - Full 3D FEM Solver- Built-in Parameterization

    - Implicit to entire system- Complete Integration of Optimetrics- Parameter sweeps and optimizations are an

    integral part of the entire design environment- Easy-to-set-up sweeps, optimizations, sensitivities,and statistical analyses

    - Wideband Fast Frequency Sweep- fast frequency sweep technology- Adaptive Lanczos Pade Sweep

    - Circuit Co-simulation with Ansoft Designer v 1.1- Powerful Field Post-Processor

    measu

    remen

    t

    measu

    remen

    t

    Simul

    ation

    Simul

    ation

    Ansoft HFSS v9.0

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    - Include Circuit/System and Planar EMSolver

    - Dynamic Link with HFSS v9.0- Full model parameterization- Automated parameter sweeps- Mixed-meshing capabilities- Automated transmission and reflection

    calculation- Circuit and EM Integration- Dynamic postprocessor

    Ansoft Designer v1.1

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    Ansoft Scalable 3D Dynamic Link

    Design parameters were

    passed from HFSS v9.0

    into Ansoft Designer v1.1

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    DGS Bandpass Filter Design

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    Design Procedure

    Fabrication for Verification

    Extracting Physical dimensions using HFSS

    DGS Filter Design using Ansoft Designer

    Propose Equivalent circuit of DGS

    Propose DGS structure

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    Proposed Unit DGS

    gw

    b

    a

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    cLCL XX

    ===

    1'

    (4)(1)

    (2)

    (3)

    (5)

    22

    1

    1

    coo

    c

    gZC

    =

    CfL

    o =

    224

    1

    Equivalent Circuit for the DGS

    1

    0 )(

    =

    o

    oLC

    CX

    1

    'gZLX oL ==

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    Unit DGS Modeling with HFSS v9.0

    w Define project variables

    w Create 3D model

    w Ground planes

    w Traces

    w Dielectrics

    w Draw unit DGS section

    w Slots

    w Traces

    w Define material properties

    w Define boundary conditions

    w Define excitations

    w Setup solution information

    w Analysis

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    w Unit DGS library can be buildusing fully parameterizedAnsoft Designer Planar EMand HFSS

    w Modeling parameterw Etched lattice dimension

    w Gap distance

    w Substrate thickness

    w Design validation can be

    done by measurement at theend

    The lattice, and gap distance can all be varied with a fewcentral Project Variables to permit analysis of any similarDGS. Or, a parametric sweep can generate and maintain

    results for manyvariations at once.

    The lattice, and gap distance can all be varied with a fewcentral Project Variables to permit analysis of any similarDGS. Or, a parametric sweep can generate and maintain

    results for manyvariations at once.

    Parameterized Unit DGS

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    Parameter Sweeps

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    Effect of Lattice Dimension, a

    gw

    b

    a

    7mm

    6mm

    5mm4mm

    3mm2mm

    Freq

    a

    dB(S11)

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    gw

    b

    a

    Effect of Gap Dimension, g

    300um 700um400um

    500um600um

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    Electric Field on the DGS

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    Magnetic Field on the DGS

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    DGS Filter DesignUsing Ansoft Designer

    Schematic of the coupled-line bandpass filter with two DGSsections.Substrate : ROGERS RT/Duroid 6010, Er=10.2, h=50mil,Center Frequency : 3 GHz, Bandwidth : 10%

    Schematic of the coupled-line bandpass filter with two DGSsections.Substrate : ROGERS RT/Duroid 6010, Er=10.2, h=50mil,Center Frequency : 3 GHz, Bandwidth : 10%

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    Physical Dimension of DGS

    Simulated and Measured Results for the unit DGSSimulated and Measured Results for the unit DGS

    Planar EMSimulation

    CircuitSimulation

    Measuredgw

    b

    a

    L = 2.573nHC = 0.64pF

    fc = 2.871 GHzf0 = 3.92 GHz

    L = 2.573nHC = 0.64pF

    fc = 2.871 GHzf0 = 3.92 GHz

    L

    C

    Final DGS dimension :

    a= 4.15mm, b= 6.2mm,

    g= 0.5mm, W= 1.2mm (50)ROGERS RT/Duroid 6010, Er=10.2, h=50mil

    Final DGS dimension :

    a= 4.15mm, b= 6.2mm,

    g= 0.5mm, W= 1.2mm (50)ROGERS RT/Duroid 6010, Er=10.2, h=50mil

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    EM Simulation of DGS filter

    Ansoft Desigenr Planar EM

    Ansoft Designer Circuit

    Results comparison between Circuit and EM SimulationResults comparison between Circuit and EM Simulation

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    (a) Top view

    (b) Bottom view

    Fabrication for Verification

    Photograph of thefabricated coupled-line

    bandpass filter with DGS.

    Photograph of thefabricated coupled-line

    bandpass filter with DGS.

    Results comparison between EM simulation and measurement onthe fabricated DGS coupled-line BPF

    Results comparison between EM simulation and measurement onthe fabricated DGS coupled-line BPF

    AnsoftDesignerPlanarEM

    Measured

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    DGS Bandpass Filterwith An Additional DGS

    Schematic of the DGS coupled-line filter with an additionalDGS section in coupled-resonator.

    Schematic of the DGS coupled-line filter with an additionalDGS section in coupled-resonator.

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    Physical Dimension Extractionof Additional DGS

    Simulated Result for the additional unit DGSSimulated Result for the additional unit DGS

    gw

    b

    a

    L = 1.11nHC = 0.66pFfc= 4.8 GHzf0= 5.9 GHz

    L = 1.11nHC = 0.66pFfc= 4.8 GHzf0= 5.9 GHz

    L

    C

    DGS Dimension : a=1.55mm, b=6mm,g=0.2mm

    Conductor Line : w=1.2mm (50)

    Substrate : ROGERS RT/Duroid 6010,Er=10.2, h=50mil

    DGS Dimension : a=1.55mm, b=6mm,g=0.2mm

    Conductor Line : w=1.2mm (50)

    Substrate : ROGERS RT/Duroid 6010,Er=10.2, h=50mil

    Planar EMSimulation

    CircuitSimulation

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    EM Simulation Using HFSS

    Circuit and EM simulated results comparisonCircuit and EM simulated results comparison

    Ansoft HFSS

    Ansoft Designer

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    (a) Top view

    (b) Bottom view

    Fabrication for Verification

    Photograph of thefabricated DGS coupled-line bandpass filter with

    an additional DGS.

    Photograph of thefabricated DGS coupled-line bandpass filter with

    an additional DGS. Comparison results between EM simulation and measurement onthe fabricated DGS coupled-line BPF

    Comparison results between EM simulation and measurement onthe fabricated DGS coupled-line BPF

    Measured

    AnsoftHFSS

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    Lowpass Filter Application

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    Proposed DGS LPF

    (a) (b)

    Designed lowpass filters with the proposed DGS unit sections with (a) T-junction opened stub forparallel capacitance where the stub width and length are 5mm and 10mm, respectively (b) cross-

    junction opened stub for parallel capacitance where the stub width and length are 5mm and 6mm,respectively.

    Designed lowpass filters with the proposed DGS unit sections with (a) T-junction opened stub forparallel capacitance where the stub width and length are 5mm and 10mm, respectively (b) cross-

    junction opened stub for parallel capacitance where the stub width and length are 5mm and 6mm,respectively.

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    (a) Top view (b) Bottom view

    Fabrication and Measurement

    Photographs of the fabricated DGS Lowpass filter with T-junction type open stub (a) Top view and (b) bottom view.

    (a) Top view (b) Bottom view

    Photographs of the fabricated DGS lowpass filter with cross-junction type open stub (a) Top view and (b) bottom view.

    Comparison of measured results forthe fabricated DGS lowpass filters

    with the T-junction, the cross-junction type open stub, and the

    conventional lowpass filter.

    Comparison of measured results forthe fabricated DGS lowpass filters

    with the T-junction, the cross-junction type open stub, and the

    conventional lowpass filter.

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    Branch Line Coupler Application

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    (a) Top view

    (b) Bottom view

    Fabrication for Verification

    Photograph of (a) topand (b) bottom sides of

    the fabricated 90branch-line coupler

    with DGS cells.

    Photograph of (a) topand (b) bottom sides of

    the fabricated 90branch-line coupler

    with DGS cells.The simulation and measurement results of the branch line coupler with

    DGS section

    The simulation and measurement results of the branch line coupler withDGS section

    Substrate : RT/Duroid 5880, Er=2.2,

    thickness=31mils.The physical length and width of conductorcorresponding to quarter wave 150ohmsline with 1-D periodic DGS are 26mm and1mm at 1.84GHz, respectively. The quarterwave length and width of 150ohms line onconventional microstrip are 31mm and0.2mm. In left Fig., the period S = 8mm, a= b = 6mm, c = 12mm, d = 1mm and g =1mm.

    Substrate : RT/Duroid 5880, Er=2.2,thickness=31mils.

    The physical length and width of conductorcorresponding to quarter wave 150ohmsline with 1-D periodic DGS are 26mm and1mm at 1.84GHz, respectively. The quarterwave length and width of 150ohms line onconventional microstrip are 31mm and0.2mm. In left Fig., the period S = 8mm, a= b = 6mm, c = 12mm, d = 1mm and g =1mm.

    a

    gw

    b

    s

    d

    c

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    4:1 Unequal Wilkinson PowerDivider Application

    Conventional N:1 unequal Wilkinson power divider

    P1

    P 2

    P 3

    Rint

    Z2

    Z3

    R2

    R3

    N

    1

    Zo

    100.025.0125.0158.139.54

    86.628.9115.5131.643.93

    70.735.4106.1103.051.52

    R3 [W]R2 [W]Rint[W]Z3 [W]Z2 [W]N

    Table 1. Characteristic impedance andresistor values of N:1 unequal Wilkinsonpower divider

    Reference [4] : Due to the increased effective inductance of the DGS, the aspect ratio of the 158 W microstrip line hasbeen increased to 235% and the length of l/4 has been reduced to 83%. The fabricated conductor width of the 158 Wmicrostrip line were 0.4mm, while 0.17mm for the conventional one. The enlarged conductor width and reduced length hasa great advantage in design and realization such a high impedance line and smaller circuit. The fabricated 4:1 dividershowed excellent matching and isolation, and exact dividing ratios of -1dB and -7dB at port 2 and port 3 without additionallosses induced by the DGS over 1.2 ~ 1.8GHz.

    Reference [4]Reference [4] : Due to the increased effective inductance of the DGS, the aspect ratio of the 158 W microstrip line hasbeen increased to 235% and the length of l/4 has been reduced to 83%. The fabricated conductor width of the 158 Wmicrostrip line were 0.4mm, while 0.17mm for the conventional one. The enlarged conductor width and reduced length hasa great advantage in design and realization such a high impedance line and smaller circuit. The fabricated 4:1 dividershowed excellent matching and isolation, and exact dividing ratios of -1dB and -7dB at port 2 and port 3 without additionallosses induced by the DGS over 1.2 ~ 1.8GHz.

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    Unequal Wilkinson power divider with DGSUnequal Wilkinson power divider with DGS

    Port 1

    Port 2

    Port 3

    h

    L2

    Grounded plane

    Dielectric Substrate

    w

    a

    b

    c

    Rs

    /4

    /4

    Z3

    Z2

    ZL3

    ZL2

    3

    w2

    wL3

    w

    Transmission line

    Etched Defect

    in Ground plane

    cc

    Simulated result of unit DGSDimension : a=6mm, b=6mm, c=0.4m, d=0.4mm

    Transmission line imp.=158 Ohmsubstrate : RT/Duroid 5880, Er= 2.2 h=31 mils

    Simulated result of unit DGSDimension : a=6mm, b=6mm, c=0.4m, d=0.4mm

    Transmission line imp.=158 Ohmsubstrate : RT/Duroid 5880, Er= 2.2 h=31 mils

    Proposed Divider structureProposed Divider structure

    a

    b

    b

    c

    cc

    c

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    The simulated and measured results of the Power Divider with DGS sectionThe simulated and measured results of the Power Divider with DGS section

    Fabrication for Verification

    HFSS Measurement

    Photograph of (a) top and (b) bottom sides of thefabricated 90 branch-line coupler with DGS cells.Photograph of (a) top and (b) bottom sides of thefabricated 90 branch-line coupler with DGS cells.

    (a) (b)

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    Conclusion

    w

    Technical Summaryw Unit DGS and its equivalent circuit were derived and explained

    w Field effects of unit DGS were shown by HFSS

    w A coupled line 3-pole bandpass filter with DGS was designed and measured

    w Various design applications using DGS were shown

    w Defected Ground Structure Design solution : Ansoft Designer and HFSSw Fully parameterizable geometries, materials, analysesw Automated analyses, sweeps, optimization, post-processingw Integrated design environment with EM, circuit and system analysesw Flexible geometry types/shapes configurationw Efficient design flow

    w Ansoft Products applied in this presentationw Ansoft Designerw Ansoft HFSS

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    References[1] J. S. Yun, J. S. Park, D. Ahn, A design of the novel coupled-line bandpass filter using defected ground

    structure with wide stopband performance, IEEE Transaction on Microwave Theory and Techniques, Vol.50, No.9, pp.2037~2043, Sept. 2002.

    [2] D. Ahn, J. S. Park, C. S. Kim, Y. Qian, and T. Itoh "A Design of the Lowpass Filter Using the Novel MicrostripDefected Ground Structure," IEEE Transaction on Microwave Theory and Techniques, Vol.49 No.1, pp.86-93, Jan. 2001.

    [3] , ,

    [4] " ," I EEEMi c r o wa v e a n d Wi r e l e s s Co mp o n e n t s L e t t e r s

    [5] T. J. Ellis and G. M. Rebeiz, MM-wave tapered slot antennas on micromashined photonic bandgapdielectrics, IEEE MTT-s Int. Microwave Symp. Dig., June 1996, pp.1157-1160.

    [6] V. Radisic, Y. Qian, and T. Itoh, Broadband power amplifier using dielectric photonic bandgap structure,IEEE Microwave Guide Wave Lett. Vol.8, pp.13-14, Jan. 1998.

    [7] M. P. Kesler, J. G. Maloney, and B. L. Shirley, Antenna design with the use of photonic bandgap material asall dielectric planar reflectors, Microwave Opt. Tech. Lett, Vol.11, No.4, pp.169-174, Mar. 1996.

    [8] V. Radisic, Y. Qian, R. Coccioli, and T. Itoh, Novel 2-D photonic bandgap structure for microstrip lines, IEEEMicrowave Guide Wave Lett. Vol.8, No.2, pp.69-71, Feb. 1998.

    [9] C. S. Kim, J. S. Park, D. Ahn, and J. B. Lim, "A Novel 1-Dimensional periodic Defected Ground Structrure forPlanar circuits," IEEE Microwave and Guided Wave Lett., Vol.10, No.04, pp.131-133, April, 2000.