Chapter
2 FDTD method for periodic structure analysis
2.1.2 Yee’s cell and updating scheme
2.1.3 Absorbing boundary conditions: PML
One-dimensional (1-D) perfectly matched layers
Three-dimensional (3-D) perfectly matched layers
2.1.5 Extraction of characteristic parameters
2.2 Periodic boundary conditions
2.2.1 Fundamental challenges in PBC
2.2.2 Overview of various PBCs
2.2.3 Constant kx method for scattering analysis
Reflection coefficient in the kx-frequency plane
Rationale of the constant kx method
Implementation of the constant kx method and its advantages
2.3.2 Brillouin zone for periodic waveguides
A dielectric slab waveguide
A grounded slab loaded with periodic patches [31]
2.4 Plane wave scattering analysis
2.4.2 Plane wave excitation
Reflection from a dielectric slab
A dipole frequency selective surface (FSS)
2.5 A unified approach: hybrid FDTD/ARMA method
2.5.1 A unified approach for guided wave and scattering analysis
Surface wave region and plane wave region
Surface impedance and wave impedance
Unified analysis of a grounded dielectric slab
Corrugated soft/hard surface
3 EBG characterizations and classifications
3.1 Resonant circuit models for EBG structures
3.1.1 Effective medium model with lumped LC elements
3.1.2 Transmission line model for surface waves
3.1.3 Transmission line model for plane waves
3.2 Graphic representation of frequency band gap
3.2.2 Near field distributions inside and outside the frequency band gap
3.3 Frequency band gap for surface wave propagation
3.3.2 Surface wave band gap
3.4 In-phase reflection for plane wave incidence
3.4.2 EBG reflection phase: normal incidence
3.4.3 EBG reflection phase: oblique incidence
3.5 Soft and hard surfaces
3.5.1 Impedance and reflection coefficient of a periodic ground plane
3.5.2 Soft and hard operations
Bandwidth for soft and hard operations
Soft, hard, PEC, and PMC surfaces
3.6 Classifications of various EBG structures
4 Designs and optimizations of EBG structures
4.1 Parametric study of a mushroom-like EBG structure
4.1.3 Substrate thickness effect
4.1.4 Substrate permittivity effect
4.2 Comparison of mushroom and uni-planar EBG designs
4.3 Polarization-dependent EBG surface designs
4.3.1 Rectangular patch EBG surface
4.3.2 Slot loaded EBG surface
4.3.3 EBG surface with offset vias
4.3.4 An example application: PDEBG reflector
4.4 Compact spiral EBG designs
4.4.1 Single spiral design
4.4.2 Double spiral design
4.4.3 Four-arm spiral design
4.5 Dual layer EBG designs
4.6 Particle swarm optimization (PSO) of EBG structures
4.6.1 Particle swarm optimization: a framework
4.6.2 Optimization for a desired frequency with a +90° reflection phase
4.6.3 Optimization for a miniaturized EBG structure
4.6.4 General steps of EBG optimization problems using PSO
4.7 Advanced EBG surface designs
4.7.1 Space filling curve EBG designs
4.7.2 Multi-band EBG surface designs
4.7.3 Tunable EBG surface designs
5 Patch antennas with EBG structures
5.1 Patch antennas on high permittivity substrate
5.2 Gain enhancement of a single patch antenna
5.2.1 Patch antenna surrounded by EBG structures
5.2.2 Circularly polarized patch antenna design
5.2.3 Various EBG patch antenna designs
5.3 Mutual coupling reduction of a patch array
5.3.1 Mutual coupling between patch antennas on high dielectric constant substrate
5.3.2 Mutual coupling reduction by the EBG structure
5.3.3 More design examples
5.4 EBG patch antenna applications
5.4.1 EBG patch antenna for high precision GPS applications
5.4.2 EBG patch antenna for wearable electronics
5.4.3 EBG patch antennas in phased arrays for scan blindness elimination
6 Low profile wire antennas on EBG ground plane
6.1 Dipole antenna on EBG ground plane
6.1.1 Comparison of PEC, PMC, and EBG ground planes
6.1.2 Operational bandwidth selection
6.2 Low profile antennas: wire-EBG antenna vs. patch antenna
6.2.1 Two types of low profile antennas
6.2.2 Performance comparison between wire-EBG and patch antennas
6.2.3 A dual band wire-EBG antenna design
6.3 Circularly polarized curl antenna on EBG ground plane
6.3.1 Performance of curl antennas over PEC and EBG ground planes
6.3.2 Parametric studies of curl antennas over the EBG surface
6.3.3 Experimental demonstration
6.4 Dipole antenna on a PDEBG ground plane for circular polarization
6.4.1 Radiation mechanism of CP dipole antenna
6.4.2 Experimental results
6.5 Reconfigurable bent monopole with radiation pattern diversity
6.5.1 Bent monopole antenna on EBG ground plane
6.5.2 Reconfigurable design for one-dimensional beam switch
6.5.3 Reconfigurable design for two-dimensional beam switch
6.6 Printed dipole antenna with a semi-EBG ground plane
6.6.1 Dipole antenna near the edge of a PEC ground plane
6.6.2 Enhanced performance of dipole antenna near the edge of an EBG ground plane
6.6.3 Printed dipole antenna with a semi-EBG ground plane
7.1 A grounded slab loaded with periodic patches
7.1.1 Comparison of two artificial ground planes
7.1.2 Surface waves in the grounded slab with periodic patch loading
7.2 Dipole-fed surface wave antennas
7.2.1 Performance of a low profile dipole on a patch-loaded grounded slab
7.2.2 Radiation mechanism: the surface wave antenna
7.2.3 Effect of the finite artificial ground plane
7.2.4 Comparison between the surface wave antenna and vertical monopole antenna
7.3 Patch-fed surface wave antennas
7.3.1 Comparison between a circular microstrip antenna and a patch-fed SWA
7.3.2 Experimental demonstration
7.4 Dual band surface wave antenna
7.4.1 Crosspatch-fed surface wave antenna
7.4.2 Modified crosspatch-fed surface wave antenna for dual band operation
Appendix EBG literature review
2.2 Analysis methods for EBG structures
2.3 Interesting EBG properties
3.1 New materials and configurations
3.2 Enhanced EBG performance
4 EBG applications in antenna engineering
4.1 Microstrip antennas and array
4.2 Low profile wire antennas and slot antennas
4.4 EBG antennas in real-life applications