Chapter
2: Planar EBGs: Fundamentals and Design
2.1 Fundamental Behavior of Planar EBG
2.2 Identification of the Bandgap Limits: fHigh
2.3 Identification of the Bandgap Limits: fLow
2.4 Characterization of fLow for Different Patch Matrix Configurations
2.5 Experimental Validation
2.6.1 Preliminary Considerations on Embedded EBG
2.6.2 Introducing the Stitching Vias
2.7.1 Splitting Power Planes by EBG Barrier
2.7.2 IC Isolation by an EBG Fence
3: Impact of Planar EBGs on Signal Integrity in High-Speed Digital Boards
3.1 Coupling Mechanisms Between Microstrip Lines and Planar EBGs
3.2 Impact of EBG Reference to Striplines
3.2.1 Striplines in a Symmetrical Embedded EBG Cavity
3.2.2 Striplines in an Asymmetrical Embedded EBG Cavity
4: Planar Onboard EBG Filters for Common Mode Current Reduction
4.1 EBG Structures as Common Mode Filters: Overview and Operating Principles
4.1.1 Origins of Common Mode Signals and Noise
4.1.1.2 Effects of Rise/Fall Time Mismatch
4.1.1.3 Effects of Amplitude Mismatch
4.1.1.4 Differential Vias
4.1.2 Resonant Patch-Based Common Mode Filters: EM Operating Principle
4.2 Resonant Patch-Based Common Mode Filters: Basic Behavior and Features
4.2.1 Basic Behavior of CM Filters Based on Resonant Patches
4.2.2 Basic Features of Resonant Patches CM Filters
4.2.2.1 Effect of Patch Number and Trace Layout
4.2.2.2 Multiple Crossings on the Same Gap
4.3 Resonant Patch-Based Filters: Experimental Validation
4.3.1 Model to Hardware Correlation
4.3.2 From Frequency Domain Measurements to Time Domain Simulations
4.3.3 Time Domain Common Mode Measurements
4.4 EBG-Based CM Filters: Design Approach
4.4.1 From Resonant Cavity CM Filters to EBG-Based CM Filters
4.4.2 Synthesis Procedure of EBG-Based CM Filters
4.4.3 Equivalent Circuit Analysis and Refinement of the Initially Synthesized EBG Filters
4.4.4 Optimum Geometrical Design
4.4.4.1 Optimum Design Example
4.5 Onboard EBG-Based Common Mode Filters: Typical Structures
4.5.1 Onboard EBG Structures for Common Mode Filters Development
4.5.1.1 Onboard EBG-Based CM Filters: Microstrip Structures
4.5.1.2 Onboard EBG-Based CM Filters: Stripline Structures
4.5.2 Onboard EBG-Based CM Filters: PCB Implementation Aspects
4.6 Additional Design Considerations
4.6.1 Further Miniaturization Techniques
4.6.1.1 Reduction of the Number of Patches
4.6.1.2 Modification of the Bridge Geometry: ``Meandered´´ Configuration
4.6.1.3 Stack-Up Variation: ``Sandwich´´ Configuration
4.6.1.4 Minimization of Powerplane Coupling and Cross Talk Features
4.6.2 Design Hints for Bandwidth Enlargement
4.7 EBG-Based CM Filters: Hardware Measurements
4.7.2 Model-to-Hardware Correlation
4.7.2.1 Frequency Domain Measurements and Model Refinement
4.7.2.2 Model-to-Hardware Correlation in the Frequency Domain
4.7.2.3 Time Domain Measurements and Characterization
5: Special Topics for EBG Filters
5.2 Increased Bandwidth Filter: Multiple Size Patches
5.3 Increased Bandwidth Filter: Multiple Size Bridge Width
6: Removable EBG Common Mode Filters
6.1 Design Concept of Removable EBG Filter
6.2 Categorization of Filters and Structures
6.3 Removable EBG Common Mode Filters Design Approach
6.3.1 Design Approach and Guidelines
6.3.2 Removable EBG CM Filter Performances
6.3.2.2 The Depth of the Notch
6.3.3 Further Design Considerations
6.3.3.1 Impact of the Metal Ring
6.3.3.2 Impact of the Vias
6.4 Design Examples and Typical Results
6.4.1 Design Example 1: Compactness Enhancement
6.4.2 Design Example 2: Filtering Features Enhancement
6.5 Summary of Advantages and Drawbacks
7: EBG Common Mode Filters: Modeling and Measurements
7.1 Design Considerations for the EBG Filter Test Fixture
7.1.1 Defining the Bounds of the EBG Device
7.1.2 Selecting a Launch Structure for the Test Fixture
7.1.3 Calibration Versus De-embedding
7.1.4 Physical Design Considerations
7.2 Experimental Design Considerations When Trying to Quantify the Cross Talk Performance of an EBG Filter
7.2.1 Cross Talk Experiments
7.3 Experimental Design Considerations When Trying to Quantify the Total Radiated Power from an EBG Filter
7.3.1 Radiated Power Measurement Techniques
7.3.2 Radiated Power Experiment Considerations
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Electromagnetic Bandgap (EBG) Structures
：Common Mode Filters for High Speed Digital Systems
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