
- •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

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Design and practice of small antennas II |
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Table 8.6 Optimized dimensions of printed elliptical/circular slot antenna ([40c], copyright C 2006 IEEE)
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CPW fed |
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Elliptical Slot |
Circular Slot |
Elliptical Slot |
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A (mm) |
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B (mm) |
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r (mm) |
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Table 8.7 Measured and simulated bandwidth of printed elliptical/circular slot antennas ([40c], copyright C 2006 IEEE)
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dB bandwidth |
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CPW fed |
Elliptical Slot |
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line and (b) CPW. With optimized dimensions of four types of antennas tabulated in Table 8.6, measured and simulated bandwidth are given in Table 8.7, demonstrating much wider bandwidth compared with other antennas described in [40d–40f].
A novel modified UWB planar monopole antenna with variable frequency band-notch function is described in [41].
8.1.2.1.2.3.3.3 A rectangular monopole patch with a notch and a strip
A small printed rectangular patch with a notch and strip is described in [42a]. The antenna is featured in reduced ground plane effect by cutting a notch from the radiator and attaching a strip asymmetrically to the radiator, while keeping wide bandwidth covering the UWB band. Figure 8.69 depicts antenna geometry, showing (a) a printed rectangular monopole patch and (b) a rectangular monopole patch with a notch and a strip. By slotting the radiator and/or modifying the shape of the radiator as well as the ground plane, the size can be reduced to 30 × 30 or 25 × 25 (in mm) from 40 × 50 mm, a usual size for similar printed antennas [42b, 42c].
In addition, by adding a strip to the top side of the rectangular radiator, the length of the radiator can be reduced to 30 mm as illustrated in Figure 8.69(b). Further reduction of the

8.1 FSA (Functionally Small Antennas) |
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Figure 8.69 (a) Planar rectangular monopole with the finite ground plane and (b) the antenna with a strip ([42a], copyright C 2007 IEEE).
antenna size can be attained by cutting a notch on the radiator as shown in Figure 8.70(a), where dimensional parameters are also described. Presence of the notch on the radiator leads to concentration of the current distributions on the right portion of the radiator, where the notch is cut, while the currents at the left portion of the radiator as well as the ground plane are very weak. Figure 8.70 illustrates the current distributions on the radiator and the ground plane, comparing (b) with notch and (c) without notch at 3, 5, 6, and 10 GHz. Observing this current distribution, it can be said that the notch plays a significant role to determine the lower operating frequencies, and subsequent impedance matching at around 3 GHz will become more sensitive to the notch dimension than the shape and size of the ground plane. The reason for this is that the currents on the ground plane are much weaker than those on the radiator. Thus it is important to notice that the effects of the ground plane and RF cable on the antenna performance at lower frequencies can be suppressed greatly by the notch [42a]. As the operating frequency increases, current flow becomes stronger on the feeding strip, on the junction of the radiator and the feeding strip, and on the ground plane. Thus impedance matching is greatly affected by the gap g between the patch and ground plane. The lowest frequency f is determined by the path length L of the current flow around the notch on the right portion of the patch, which is the sum of the horizontal path from the feeding point,
the vertical path from the bottom of the radiator, and the length and the width of the
√
horizontal strip, giving f = c/λ (λ = 2L εr + 1/2).
Here f = 3.10 GHz. Simulated and measured return loss is provided in Figure 8.71. The radiation patterns are almost omnidirectional at lower frequencies, while more directional at higher frequencies. The radiation efficiency varies from 79% to 95% across the entire bandwidth 3.1–10.6 GHz.

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Figure 8.70 Planar rectangular monopole antenna with a strip and a notch; (a) antenna geometry,
(b) current distributions on the antenna with a notch, and (c) the antenna without notch ([42a], copyright C 2007 IEEE).
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Frequency (GHz)
Figure 8.71 Measured and simulated return loss ([42a], copyright C 2007 IEEE).

8.1 FSA (Functionally Small Antennas) |
325 |
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Ground plane |
Slot |
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SMA coaxial probe |
Substrate, εr |
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Feed line |
thickness, h |
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5 mm |
10 mm |
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80 mm |
50 mm
Figure 8.72 Pentagon-shape microstrip slot antenna fed by a microstrip line ([43], copyrightC 2009 IEEE).
8.1.2.1.2.3.4 Modified shaped UWB antennas
Planar antennas with modified shapes are also developed for the UWB applications. Two examples of them are (a) pentagonal shaped-slot antenna, and (b) sectorial loop antenna.
8.1.2.1.2.3.4.1 Pentagon-shape microstrip slot antenna
The antenna geometry is illustrated in Figure 8.72 [43]. Three models are considered; model A with a straight feed line, model B with tilted feed line and model C with tilted feed line on a different substrate from that of the model A and B. The substrate used for models A and B has εr = 2.20 and tan δ = 0.0004, whereas for model C, εr = 4.50 and tan δ = 0.02, The thickness of the substrate is 1.58 mm for all the models. The antenna can be designed to mount on the small substrate (ground plane) with the size of 50 mm × 80 mm, which is a similar size to the wireless card used in usual wireless equipment. The antenna will occupy only the top 20 mm or 25% of the ground plane length, leaving enough space available to mount RF devices and circuitry on it. Even with this small size, the impedance bandwidth obtained was maximum 124% (2.65– 11.30 GHz), exceeding the UWB bandwidth of 110% (3.10–10.60 GHz), as a result of combination of the pentagon-shaped slot, feed line, and pentagon stub. For models B and C, the feed line is rotated by 15◦. In terms of the bandwidth, model A exhibited 106% (2.6–8.4 GHz), model B provided the largest of all 124% and model C obtained 116%