
- •Contents
- •Preface
- •Chapter 1 Introduction (K. Fujimoto)
- •Chapter 2 Small antennas (K. Fujimoto)
- •Chapter 3 Properties of small antennas (K. Fujimoto and Y. Kim)
- •Chapter 4 Fundamental limitation of small antennas (K. Fujimoto)
- •Chapter 5 Subjects related with small antennas (K. Fujimoto)
- •Chapter 6 Principles and techniques for making antennas small (H. Morishita and K. Fujimoto)
- •Chapter 7 Design and practice of small antennas I (K. Fujimoto)
- •Chapter 8 Design and practice of small antennas II (K. Fujimoto)
- •Chapter 9 Evaluation of small antenna performance (H. Morishita)
- •Chapter 10 Electromagnetic simulation (H. Morishita and Y. Kim)
- •Chapter 11 Glossary (K. Fujimoto and N. T. Hung)
- •Acknowledgements
- •1 Introduction
- •2 Small antennas
- •3 Properties of small antennas
- •3.1 Performance of small antennas
- •3.1.1 Input impedance
- •3.1.4 Gain
- •3.2 Importance of impedance matching in small antennas
- •3.3 Problems of environmental effect in small antennas
- •4 Fundamental limitations of small antennas
- •4.1 Fundamental limitations
- •4.2 Brief review of some typical work on small antennas
- •5 Subjects related with small antennas
- •5.1 Major subjects and topics
- •5.1.1 Investigation of fundamentals of small antennas
- •5.1.2 Realization of small antennas
- •5.2 Practical design problems
- •5.3 General topics
- •6 Principles and techniques for making antennas small
- •6.1 Principles for making antennas small
- •6.2 Techniques and methods for producing ESA
- •6.2.1 Lowering the antenna resonance frequency
- •6.2.1.1 SW structure
- •6.2.1.1.1 Periodic structures
- •6.2.1.1.3 Material loading on an antenna structure
- •6.2.2 Full use of volume/space circumscribing antenna
- •6.2.3 Arrangement of current distributions uniformly
- •6.2.4 Increase of radiation modes
- •6.2.4.2 Use of conjugate structure
- •6.2.4.3 Compose with different types of antennas
- •6.2.5 Applications of metamaterials to make antennas small
- •6.2.5.1 Application of SNG to small antennas
- •6.2.5.1.1 Matching in space
- •6.2.5.1.2 Matching at the load terminals
- •6.2.5.2 DNG applications
- •6.3 Techniques and methods to produce FSA
- •6.3.1 FSA composed by integration of components
- •6.3.2 FSA composed by integration of functions
- •6.3.3 FSA of composite structure
- •6.4 Techniques and methods for producing PCSA
- •6.4.2 PCSA employing a high impedance surface
- •6.5 Techniques and methods for making PSA
- •6.5.2 Simple PSA
- •6.6 Optimization techniques
- •6.6.1 Genetic algorithm
- •6.6.2 Particle swarm optimization
- •6.6.3 Topology optimization
- •6.6.4 Volumetric material optimization
- •6.6.5 Practice of optimization
- •6.6.5.1 Outline of particle swarm optimization
- •6.6.5.2 PSO application method and result
- •7 Design and practice of small antennas I
- •7.1 Design and practice
- •7.2 Design and practice of ESA
- •7.2.1 Lowering the resonance frequency
- •7.2.1.1 Use of slow wave structure
- •7.2.1.1.1 Periodic structure
- •7.2.1.1.1.1 Meander line antennas (MLA)
- •7.2.1.1.1.1.1 Dipole-type meander line antenna
- •7.2.1.1.1.1.2 Monopole-type meander line antenna
- •7.2.1.1.1.1.3 Folded-type meander line antenna
- •7.2.1.1.1.1.4 Meander line antenna mounted on a rectangular conducting box
- •7.2.1.1.1.1.5 Small meander line antennas of less than 0.1 wavelength [13]
- •7.2.1.1.1.1.6 MLAs of length L = 0.05 λ [13, 14]
- •7.2.1.1.1.2 Zigzag antennas
- •7.2.1.1.1.3 Normal mode helical antennas (NMHA)
- •7.2.1.1.1.4 Discussions on small NMHA and meander line antennas pertaining to the antenna performances
- •7.2.1.2 Extension of current path
- •7.2.2 Full use of volume/space
- •7.2.2.1.1 Meander line
- •7.2.2.1.4 Spiral antennas
- •7.2.2.1.4.1 Equiangular spiral antenna
- •7.2.2.1.4.2 Archimedean spiral antenna
- •7.2.2.1.4.3.2 Gain
- •7.2.2.1.4.4 Radiation patterns
- •7.2.2.1.4.5 Unidirectional pattern
- •7.2.2.1.4.6 Miniaturization of spiral antenna
- •7.2.2.1.4.6.1 Slot spiral antenna
- •7.2.2.1.4.6.2 Spiral antenna loaded with capacitance
- •7.2.2.1.4.6.3 Archimedean spiral antennas
- •7.2.2.1.4.6.4 Spiral antenna loaded with inductance
- •7.2.2.2 Three-dimensional (3D) structure
- •7.2.2.2.1 Koch trees
- •7.2.2.2.2 3D spiral antenna
- •7.2.2.2.3 Spherical helix
- •7.2.2.2.3.1 Folded semi-spherical monopole antennas
- •7.2.2.2.3.2 Spherical dipole antenna
- •7.2.2.2.3.3 Spherical wire antenna
- •7.2.2.2.3.4 Spherical magnetic (TE mode) dipoles
- •7.2.2.2.3.5 Hemispherical helical antenna
- •7.2.3 Uniform current distribution
- •7.2.3.1 Loading techniques
- •7.2.3.1.1 Monopole with top loading
- •7.2.3.1.2 Cross-T-wire top-loaded monopole with four open sleeves
- •7.2.3.1.3 Slot loaded with spiral
- •7.2.4 Increase of excitation mode
- •7.2.4.1.1 L-shaped quasi-self-complementary antenna
- •7.2.4.1.2 H-shaped quasi-self-complementary antenna
- •7.2.4.1.3 A half-circular disk quasi-self-complementary antenna
- •7.2.4.1.4 Sinuous spiral antenna
- •7.2.4.2 Conjugate structure
- •7.2.4.2.1 Electrically small complementary paired antenna
- •7.2.4.2.2 A combined electric-magnetic type antenna
- •7.2.4.3 Composite structure
- •7.2.4.3.1 Slot-monopole hybrid antenna
- •7.2.4.3.2 Spiral-slots loaded with inductive element
- •7.2.5 Applications of metamaterials
- •7.2.5.1 Applications of SNG (Single Negative) materials
- •7.2.5.1.1.2 Elliptical patch antenna
- •7.2.5.1.1.3 Small loop loaded with CLL
- •7.2.5.1.2 Epsilon-Negative Metamaterials (ENG MM)
- •7.2.5.2 Applications of DNG (Double Negative Materials)
- •7.2.5.2.1 Leaky wave antenna [116]
- •7.2.5.2.3 NRI (Negative Refractive Index) TL MM antennas
- •7.2.6 Active circuit applications to impedance matching
- •7.2.6.1 Antenna matching in transmitter/receiver
- •7.2.6.2 Monopole antenna
- •7.2.6.3 Loop and planar antenna
- •7.2.6.4 Microstrip antenna
- •8 Design and practice of small antennas II
- •8.1 FSA (Functionally Small Antennas)
- •8.1.1 Introduction
- •8.1.2 Integration technique
- •8.1.2.1 Enhancement/improvement of antenna performances
- •8.1.2.1.1 Bandwidth enhancement and multiband operation
- •8.1.2.1.1.1.1 E-shaped microstrip antenna
- •8.1.2.1.1.1.2 -shaped microstrip antenna
- •8.1.2.1.1.1.3 H-shaped microstrip antenna
- •8.1.2.1.1.1.4 S-shaped-slot patch antenna
- •8.1.2.1.1.2.1 Microstrip slot antennas
- •8.1.2.1.1.2.2.2 Rectangular patch with square slot
- •8.1.2.1.2.1.1 A printed λ/8 PIFA operating at penta-band
- •8.1.2.1.2.1.2 Bent-monopole penta-band antenna
- •8.1.2.1.2.1.3 Loop antenna with a U-shaped tuning element for hepta-band operation
- •8.1.2.1.2.1.4 Planar printed strip monopole for eight-band operation
- •8.1.2.1.2.2.2 Folded loop antenna
- •8.1.2.1.2.3.2 Monopole UWB antennas
- •8.1.2.1.2.3.2.1 Binomial-curved patch antenna
- •8.1.2.1.2.3.2.2 Spline-shaped antenna
- •8.1.2.1.2.3.3 UWB antennas with slot/slit embedded on the patch surface
- •8.1.2.1.2.3.3.1 A beveled square monopole patch with U-slot
- •8.1.2.1.2.3.3.2 Circular/Elliptical slot UWB antennas
- •8.1.2.1.2.3.3.3 A rectangular monopole patch with a notch and a strip
- •8.1.2.1.2.3.4.1 Pentagon-shape microstrip slot antenna
- •8.1.2.1.2.3.4.2 Sectorial loop antenna (SLA)
- •8.1.3 Integration of functions into antenna
- •8.2 Design and practice of PCSA (Physically Constrained Small Antennas)
- •8.2.2 Application of HIS (High Impedance Surface)
- •8.2.3 Applications of EBG (Electromagnetic Band Gap)
- •8.2.3.1 Miniaturization
- •8.2.3.2 Enhancement of gain
- •8.2.3.3 Enhancement of bandwidth
- •8.2.3.4 Reduction of mutual coupling
- •8.2.4 Application of DGS (Defected Ground Surface)
- •8.2.4.2 Multiband circular disk monopole patch antenna
- •8.2.5 Application of DBE (Degenerated Band Edge) structure
- •8.3 Design and practice of PSA (Physically Small Antennas)
- •8.3.1 Small antennas for radio watch/clock systems
- •8.3.2 Small antennas for RFID
- •8.3.2.1 Dipole and monopole types
- •8.3.2.3 Slot type antennas
- •8.3.2.4 Loop antenna
- •Appendix I
- •Appendix II
- •References
- •9 Evaluation of small antenna performance
- •9.1 General
- •9.2 Practical method of measurement
- •9.2.1 Measurement by using a coaxial cable
- •9.2.2 Method of measurement by using small oscillator
- •9.2.3 Method of measurement by using optical system
- •9.3 Practice of measurement
- •9.3.1 Input impedance and bandwidth
- •9.3.2 Radiation patterns and gain
- •10 Electromagnetic simulation
- •10.1 Concept of electromagnetic simulation
- •10.2 Typical electromagnetic simulators for small antennas
- •10.3 Example (balanced antennas for mobile handsets)
- •10.3.2 Antenna structure
- •10.3.3 Analytical results
- •10.3.4 Simulation for characteristics of a folded loop antenna in the vicinity of human head and hand
- •10.3.4.1 Structure of human head and hand
- •10.3.4.2 Analytical results
- •11 Glossary
- •11.1 Catalog of small antennas
- •11.2 List of small antennas
- •Index

8.2 Design and practice of PCSA |
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M1 M2
Figure 8.88 Microstrip antennas separated by the mushroom-type EBG ([68a], copyright C 2007 IEEE).
antennas can be suppressed by locating them over the EBG structure, if the antennas operate within the EBG bandgap frequency band [68a]. For an array of two antennas, for instance, the EBG substrate is placed between two antennas to allow arraying them with close separation as shown in Figure 8.88 [68a]. The EBG structure, in this example consisting of four columns of cells (patches), is inserted between two patches. The two patches have the same size of 7 × 4 mm and are placed at a distance of 38.8 mm (0.75λ at 5.8 GHz). The substrate thickness of the system is 2 mm, and εr is 10.2. Here, the cell (mushroom) size of the EBG structure is considered for three cases, 2, 3, and 4 mm, the gap between cells is 0.5 mm, and the via radius is 0.3 mm. Figure 8.89(a) provides the return loss S11 and (b) gives S21, corresponding to the mutual coupling. In each figure, comparisons between cases with and without the EBG structure are shown. All the antennas resonate around 5.8 GHz and show better than –10 dB matches, although the EBG substrate may somewhat affect the impedance match of the antennas. Without the EBG structure, the antennas show strong mutual coupling of –16.15 dB, whereas the mutual coupling level changes with the EBG structure’s presence. When the cell size is 2 mm, since the EBG bandgap is higher than the resonance frequency, the mutual coupling is not reduced, leaving still the high level of –15.85 dB. In case of 3-mm cell size, the resonance frequency 5.8 GHz falls inside the EBG bandgap so that the surface waves are suppressed and the mutual coupling is greatly reduced to the level of –25.03 dB. When the cell size is increased to 4 mm, the EBG bandgap becomes lower than the resonance frequency. Thus the mutual coupling is not improved, leaving the level as strong as –16.27 dB.
8.2.4Application of DGS (Defected Ground Surface)
The concept of DGS emerged from studies of PBG structure in electromagnetics, now being referred to as the EBG structure [73]. An EBG substrate is implemented on the ground plane surface to achieve the stopband property over a frequency range and thus a “defected” ground plane surface (DGS) is created. The DGS structure is constituted of modified EBG structures, having some compact geometries such as a unit cell as a single defect, or in periodic configuration with a small period number on the ground plane, which provides stopbands and slow-wave nature over a frequency range with a different manner of EBG. Hence, the DGS can be referred to as a unit cell

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11 |
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4 mm |
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Frequency (GHz)
Figure 8.89 (a) Return loss and (b) mutual coupling ([72], copyright C 2007 IEEE).
EBG, or as an EBG having limited number of cells and a period of repetition. In a practical DGS, the defects can be created by etching periodic or single patterns on the ground plane substrate. Various shapes and sizes have been explored so far, including ring, meander line, triangle, dumbbells, spirals, H-shape, U-shape, and their modifications. Figure 8.90 depicts some geometries of the DGS unit. The DGS structure can be applied to antennas, microwave filters, power amplifiers, oscillators, and so forth. Shapes and sizes of the structure depend on the desired operating frequency and the required performances.
8.2.4.1Ring-shaped DGS
Figure 8.91 illustrates a concentric-ring DGS [74]. Two configurations with DGS structure etched on the ground plane are shown in the figure; (a) is #1 and (b) is #2, which

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8.2 Design and practice of PCSA |
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(e)(f)
Figure 8.90 Some examples of DGS geometries: (a) ring (b) meander line (c) triangle
(d) dumbbell (e) spiral H-shape and (f) U-shape.
Ring #1 |
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Ring #3 |
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Figure 8.91 Concentric ring (CR) DGS: (a) configuration no. 1 and (b) configuration no. 2 ([74], copyright C 2006 IEEE).
is similar to #1 but with a small circle defect at the center. The DGS circles are etched on the ground plane and are shown by dark color in the figure. A pair of dotted lines represents a microstrip line etched on the reverse side of the substrate. The substrate εr is 2.33 and the thickness is 1.575 mm. The dimensions of the DGS are: 2e = 0.1λg = 2 mm, h = 0.08λ, and s = 3e, where the operating frequency fg = 10 GHz. The width of the microstrip line w = 4.7 mm. Figure 8.92 shows measured and simulated transmission characteristics S21 of DGS #1, comparing measured S21 with and without DGS. It shows the stopband effect of DGS by S21 < –10 dB over the frequency range of 9 to 11 GHz. With the DGS #2, an almost identical result was obtained.
As a modification of these DGSs, a case where the DGS structure is backed by a secondary ground plane, a metal plate, is studied, and the performance measured. In

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S (dB) 21
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Measured with CR-DGS #1 |
Simulated with CR-DGS #1 |
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8 |
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Frequency (GHz)
Figure 8.92 Measured and simulated transmission characteristics of a microstrip etched on CR-DGS no. 1 and a normal ground plane ([74], copyright C 2006 IEEE).
this case, a deeper stopband was observed over the frequency range of 10.6 to 11.4 GHz compared with the case without the second ground plane. This type of DGS is useful for suppressing interference, phase noise, and harmonics in microstrip-based active antenna design [74].
Another modified DGS is a structure having the half-ring geometry. Measured data are shown to be wide stopband operation over 8 to 10 GHz and agreement with simulation was noted.
The ring-shape DGS can be applied to suppress mutual coupling between circular microstrip antenna array elements.
8.2.4.2Multiband circular disk monopole patch antenna
A compact multiband patch antenna consisting of a circular disk monopole with an L-shape slot cut on the ground plane, forming a DGS surface is proposed [75]. The slot creates two orthogonal current paths on the ground plane, producing two additional resonances in the impedance of the antenna. The geometry of the antenna is depicted in Figure 8.93, where (a) shows top view and (b) gives perspective view. Dimensional parameters are also provided in the figure. The antenna structure is low profile, constructed in completely uniplanar form, since it does not require use of any via as in the mushroom structure or lumped-element components. The antenna is designed on a low-cost substrate having εr = 4.34, tan δ = 0.016, and height hsub = 1.59 mm. Other dimensional parameters are the length of the monopole Lm = λg/4, and the radius of the disk r = 8 mm, which is designed to produce the low resonance frequency around 3.1 GHz. The ground plane size is determined to be Lg × Wg = 12 × 24 mm taking as granted that the antenna will be employed for a card-size module used in MIMO (Multi-Input Multi-Output) systems, to which mounting at least three antennas on the
size of 75 × 34 × 5 mm is possible. Resonance frequencies are 5.6 and 8 GHz and the return-loss performance below –10 dB is from 3.7 to 9.3 GHz.

8.2 Design and practice of PCSA |
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Figure 8.93 Multiband printed monopole antenna with a DGS ([75], copyright C 2008 IEEE).
Jsur f [A /m]
1. 6553e+003
3. 0618e+002
1. 5081e+002
7.4287e+001
3.6592e+001
1.8024e+001
8.8782e+000
4.3732e+000
2.1541e+000
1.0611e+000
5.2265e-001
2.5744e-001
1.2681e-001
6. 2463e-002
3. 0768e-002
1. 5155e02
7. 4651e03
Figure 8.94 Simulated surface current on the conductors of the multiband monopole antenna on the DGS at 2.7 GHz ([75], copyright C 2008 IEEE).
Employing the DGS structure by inserting an L-slot on the ground plane, two additional resonances around 3 GHz result, while retaining the original high-frequency resonances around 5.6 and 8 GHz. Change in the surface current distributions on the ground plane due to the L-shaped slot can be observed in Figure 8.94. The L-slot forces current on the left-side of the ground plane to wrap around the slot, while the current

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Design and practice of small antennas II |
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Frequency (GHz)
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Frequency (GHz)
Figure 8.95 Comparison of the return loss of a circular disk monopole antenna (a) without and (b) with DGS (simulated and measured results) ([75], copyright C 2008 IEEE).
on the right-side of the ground plane flows along the top edge. The L-slot thus creates alternate current paths on the left-side ground plane, which are orthogonal to the current on the right-side ground plane, flowing on the top edge of the ground plane. Because these two currents have slightly different path lengths, two resonance frequencies result. Also these two currents generate orthogonal polarization, allowing two distinct adjacent resonances to merge, which contributes to extending the bandwidth around 3 GHz. Figure 8.95 illustrates measured and simulated return loss for (a) without DGS (no L-slot on the ground plane) and (b) with DGS. From the figure, it is observed that the simulation shows –10 dB S11 bandwidth of 520 MHz for the low band (2.62–3.14 GHz) and 4.51 GHz for high-band (4.66–9.17 GHz), and slightly different but still similar results by measurement.
There have been many papers treating application of DGS. Some of them are suppression of cross polarization [76], reduction of harmonics [77], and reconfigurable