# Design and Modeling of New UWB Metamaterial Planar Cavity Antennas with Shrinking of the Physical Size for Modern Transceivers

Authors: Mohammad Alibakhshi Kenari
Journal: International Journal of Antennas and Propagation
 (2013)

---

## Abstract

A variety of antennas have been engineered with MTMs and MTM-inspired constructs to improve their performance characteristics. This report describes the theory of MTMs and its utilization for antenna's techniques. The design and modeling of two MTM structures withε-μ constitutive parameters for patch antennas are presented. The framework presents two novel ultrawideband (UWB) shrinking patch antennas filled with composite right-/left-handed transmission line (CRLH-TL) structures. The CRLH-TL is presented as a general TL possessing both left-handed (LH) and right-handed (RH) natures. The CRLH-TL structures enhance left-handed (LH) characteristics which enable size reduction and large frequency bandwidth. The large frequency bandwidth and good radiation properties can be obtained by adjusting the dimensions of the patches and CRLH-TL structures. This contribution demonstrates the possibility of reducing the size of planar antennas by using LH-transmission lines. Two different types of radiators are investigated—a planar patch antenna composed of four O-formed unit cells and a planar patch antenna composed of six O-shaped unit cells. A CRLH-TL model is employed to design and compare these two approaches and their realization with a varying number of L-C loaded unit cells. Two representative antenna configurations have been selected and subsequently optimized with full-wave electromagnetic analysis. Return loss and radiation pattern simulations of these antennas prove the developed concept.


---

## Body

## 1. Introduction

Nowadays miniaturized integrated antennas are becoming a relevant need in several application fields, such as communication systems, radio-sensors and RFID tags, radiating systems for automotive and radar applications, and emerging high-impedance nanoscale devices. While in the last decades, relevant efforts have been devoted towards achieving low-power miniaturized electronic and RF components, miniaturized planar antennas of the same scale and with unchanged features are not readily available. For this reason, one of the main challenges in the front-end electronics of microelectronic components is the integration of miniaturized planar radiators in a printed chip, together with the remaining circuitry.The multitude of potential techniques proposed over the years to squeeze the dimensions of planar antennas is mainly based on the reactive loading of a patch antenna with suitably designed slots, shorting posts, and lumped elements. These solutions, however, do not usually allow obtaining the drastic reduction of the antenna dimensions needed for the aforementioned applications [1, 2]. Another possibility to squeeze the patch size is the employment of dielectric substrates exhibiting high values of the permittivity. However, due to the increased excitation of surface waves in the substrate, bandwidth, efficiency, and shape of the radiation pattern of the antenna may be significantly deteriorated [3].The aforementioned standard techniques, therefore, do not represent sufficient tools to beat the challenge of miniaturized antenna design. Some new approaches, based on the use of artificially engineered materials and metamaterials, seem to be more promising in this sense, opening the path to substantial achievements for the purposes of size reduction.Metamaterial exhibits negative electrical permittivity and/or negative permeability [4, 5]. These two properties determine how a material will interact with electromagnetic radiation including microwave, radio wave, X-rays, and all other electromagnetic wavelengths. When both permittivity and permeability are simultaneously negative, its then having a negative refractive index or left-handed material. This relationship is shown by the following Maxwell equation for refractive index:
(1)n=±εμ.Electromagnetic waves are governed by Maxwell’s equations, which show that these waves contain both electric and magnetic fields as shown in Figure1. Electromagnetic waves consist of in-phase, oscillating electric and magnetic fields. Plane waves, as shown here, have electric and magnetic fields that are polarized at right angles to each other. The field directions in a plane wave also form right angles with respect to their direction of travel (the propagation direction). When an electromagnetic wave enters in a material, the fields of the wave interact with the electrons and other charges of the atoms and molecules that compose the material, causing them to move about. For example, this interaction alters the motion of the wave, changing its speed or wavelength.Figure 1
Electromagnetic waves.In this framework, with employment of metamaterial technology novel approaches for UWB antennas design are proposed as remaining compact antennas dimensions. Proposed approaches have advantages such as easy integration and implementation, low cost, lower time requirement for fabrication, feasible, and practical.Section2 describes the operation and design principles of CRLH-TL corresponding to directive proposed unit cell of the antennas. The design approach consists of basic considerations and investigated structures, and guidelines for the UWB antennas design are presented in Sections 3 and 4, respectively. Details of the proposed antennas design will be illustrated in Section 5, as the first part of this section will propose O-formed antenna composed of four unit cells and the second part of Section 5 presents bandwidth increment of the antenna composed of six O-shaped unit cells. Results of the recommended antennas will be provided in the future section. Afterwards, advantages of the UWB miniature antennas based on CRLH-TLs are demonstrated in Section 7. Finally, Conclusion is given in Section 8.


## 2. CRLH-TL Directive Proposed Unit Cell

The CRLH-TL is a periodic structure composed of cascaded unit cells. Figure2 shows a typical O-formed gap capacitance/spiral, rectangular, and via inductors which proposed planar CRLH unit cell topology along with its lumped circuit model.Typical CRLH planar unit cell topology along with its circuit model. The series capacitanceCL is implemented as O-shaped gap capacitance and the shunt inductance LL as spiral and rectangular inductors which connected to ground plane through metallic via holes. The substrate FR_4 with height h=0.8 mm, εr=4.6 and tan δ = 1 × 10−3 has been used in all of the structures of this paper.
(a)
O-formed unit cell composed of O-shaped gap capacitance acts like left-handed capacitance (CL), and spiral inductor connected to ground plane through a metallic via hole that will be established left-handed inductor (LL)
(b)
O-shaped unit cell composed of O-formed gap capacitance that performs as series capacitance (CL) and rectangular inductor which through metallic via hole connected to ground plane as do like shunt inductor (LL)
(c)Such a TL exhibits the dispersion/attenuation relation [6]
(2)Cos[(β-jα)p]=1+Z(ω)Y(ω)2=1-(ω2-ωse2)(ω2-ωsh2)2ω2ωR2,
with
(3)Z(ω)=j(ωLR-1ωCL),Y(ω)=j(ωCR-1ωLL),ωse2=1LRCL,ωsh2=1LLCR,ωR2=1LRCR.Under the so-calledbalanced condition, that is, LRCL=LLCR, ωse=ωsh≡ω0 (ω0 is transition frequency from LH region to RH region, as follows),
(4)ω0Unbalanced=1LRCRLLCL4→LRCL=LLCRω0Balan=1LRCL=1LLCR
and under this condition, the function ω(β) can be derived from the general relation (2) as
(5)ω(β)=ω02+ωR2Sin2Pβ2+ωRSinPβ2.Due to the fact that the sizep of the unit cell is strongly subwavelength, in the frequency range of operation (p/λg≪1), CRLH structures behave as a uniform transmission media. Therefore all the concepts of uniform traveling-wave and resonant-type structures can be transposed to such metamaterial structures, while they offer in addition unique properties not available in conventional systems.Limited space or low operating frequencies demand antennas which are quite small compared to the free space wavelength. Planar patch antennas are very attractive from the point of fabrication and system integration despite being limited in size to a half of the substrate wavelength because of their resonant nature. The principle of reactive loading of patch antennas to change their pattern, impedance, resonant frequency, and so forth is known for a long time [7]. Recently L-C loaded planar lines (LCPL) have attracted attention because of their special properties. In this concept series capacitors and shunt inductors are used to synthesize a medium with simultaneously negative permeability and permittivity (ε and μ<0), the so-called left-handed (LH) metamaterials [8]. Some applications have demonstrated the superior properties of devices build on these materials [8, 9]. This paper investigates the application of this concept for design of compact antennas by using the high negative value of the wave number β to shrink the physical length of two different types of planar antennas.


## 3. Design Approach

### 3.1. Basic Considerations

As shown in [9] the wave number βLCPL of a periodically L-C loaded planar transmission line can be written as
(6)βLCPL=ω·LPLCPL-1ωLC,
where LPL and CPL represent the distributed capacitances and inductances of a planar line. The second term in (6) accounts for a periodical reactive loading of the line with lumped inductors L and capacitors C. The wave number βLCPL becomes negative for low frequencies and approaches βPL=ω·LPLCPL if the frequency is significantly increased. Relating βLCPL to the wave number βPL leads to
(7)βLCPLβPL=1-1ω2·LCLPLCPL.
With proper chosen values for L, C, LPL, and  CPL(8)|βLCPL|≫|βPL|⟷λLCPL≪λPL
can be achieved in a certain frequency range.For a planar patch antenna, thenth resonant mode is related to a patch length of n·λPL/2. Therefore the physical length of an L-C loaded patch antenna lp is
(9)lp=n·λLCPL2.
Considering (8) and (9) the possibility to shrink the physical dimensions of a patch antenna metallization by the integration of L-C elements into the planar line becomes obvious.


### 3.2. Investigated Structures

Two different antenna concepts—both based on periodicallyL-C loaded planar lines—have been investigated. Figure 2 shows a schematic drawing of a planar patch and the slotted cavity approach. Inductances are realized by spiral inductors, rectangular inductors, and metallic via holes and capacitors that are implemented by gap sections printed into the planar patches. A dielectric sheet not visible in this drawing carries the metal. Both layout structures can also be seen as a cut out of a so-called “high-impedance surface” [10] where the calculation approach with lumped elements has already been proven.The here called cavity antennas are derived from patch antennas by short circuiting the radiating slots by several spiral inductors, rectangular inductors, and metallic via holes. Sources radiation becomes theO-formed gap capacitors in the center of the structures.In analogy to (9) and considering the boundary conditions at the end of the planar line resonances can be observed for
(10)lp=m·λLCPL.According to conventional patches both antennas are supposed to radiate linear polarized waves.


## 3.1. Basic Considerations

As shown in [9] the wave number βLCPL of a periodically L-C loaded planar transmission line can be written as
(6)βLCPL=ω·LPLCPL-1ωLC,
where LPL and CPL represent the distributed capacitances and inductances of a planar line. The second term in (6) accounts for a periodical reactive loading of the line with lumped inductors L and capacitors C. The wave number βLCPL becomes negative for low frequencies and approaches βPL=ω·LPLCPL if the frequency is significantly increased. Relating βLCPL to the wave number βPL leads to
(7)βLCPLβPL=1-1ω2·LCLPLCPL.
With proper chosen values for L, C, LPL, and  CPL(8)|βLCPL|≫|βPL|⟷λLCPL≪λPL
can be achieved in a certain frequency range.For a planar patch antenna, thenth resonant mode is related to a patch length of n·λPL/2. Therefore the physical length of an L-C loaded patch antenna lp is
(9)lp=n·λLCPL2.
Considering (8) and (9) the possibility to shrink the physical dimensions of a patch antenna metallization by the integration of L-C elements into the planar line becomes obvious.


## 3.2. Investigated Structures

Two different antenna concepts—both based on periodicallyL-C loaded planar lines—have been investigated. Figure 2 shows a schematic drawing of a planar patch and the slotted cavity approach. Inductances are realized by spiral inductors, rectangular inductors, and metallic via holes and capacitors that are implemented by gap sections printed into the planar patches. A dielectric sheet not visible in this drawing carries the metal. Both layout structures can also be seen as a cut out of a so-called “high-impedance surface” [10] where the calculation approach with lumped elements has already been proven.The here called cavity antennas are derived from patch antennas by short circuiting the radiating slots by several spiral inductors, rectangular inductors, and metallic via holes. Sources radiation becomes theO-formed gap capacitors in the center of the structures.In analogy to (9) and considering the boundary conditions at the end of the planar line resonances can be observed for
(10)lp=m·λLCPL.According to conventional patches both antennas are supposed to radiate linear polarized waves.


## 4. Guidelines for the UWB Antenna Design

The transmission coefficient of the antenna system is an important frequency domain indicator of the time domain performance of a UWB antenna [11]. The points summarized in below are guidelines for the UWB antenna design.(i)
Travelling wave antennas or antennas having lowQ can be very broad in band.(ii)
Antennas incorporating tapers or rounded edges tend to give broad bandwidths because surface currents have a smooth path to follow [12].(iii)
Linearly polarized transmit and receive antennas are the simplest to implement in a compact planar package.(iv)
Minimizing the thickness of the substrate and using low loss materials maximizes bandwidth and radiation efficiency.(v)
Using the printed planar technique within radiation patches with minimizing acceptable distance between gap edges leads to extension of the antenna bandwidth.In this framework, we used these proposed approaches for enhancement of the antennas bandwidth.


## 5. Realization of the Proposed Antennas

Gold of the paper, consist of design and modeling of UWB antennas with shrink the physical dimensions accompanying good radiation characteristics. In design procedures, utilized of the recommended novel approaches based on metamaterial transmission line technology, slot cavities as acts like series capacitances. Also, suitable chosen and employment of the inductive components that contributing in the antennas structures such as spiral inductors, rectangular inductors and shorting via holes attending optimized values as perform shunt inductors roles.


### 5.1.  UWB MTM Cavity Antenna with Shrinking the Physical Size

Design procedure of the proposed antenna is based on a simple topology that incorporates printed planar patches and spiral and rectangular inductors accompanying metallic vias connected to ground plane. This topology makes it possible to combine the antenna with integrated RF electronics. We employed electromagnetic band gap (EBG) unit to act as the radiation unit, which is the simplest way to achieve the series capacitance. With employment of the printed planar technique into radiation patches gap capacitance is created which lead to foot print area reduction, in additions; with choosing a smaller value of the gap capacitance made into radiation patches we can obtain wide bandwidth, and therefore, our antenna has a small size and broad bandwidth. Also beside the small size and the broad bandwidth properties, the radiation characteristics of the antenna are most the important subject. With utilizing of the four unit cells in formO-shaped gap structure, the larger aperture size, the uniform excitation mechanism by employing of two ports as firs port is excited with input signal, and second port matched 50 Ohm load impedance, using suitable structural parameters and using proper inductive elements such as spiral and rectangular inductors with one turn and their optimized dimensions attending vertical via holes with optimized diameters and good realization of the O-shaped gaps; with improvement distance between gap edges, appropriate radiation performances can be achieved. The novel small size ultra wideband antenna with appropriate radiation performances, presented in here, is based on four simplified mushroom structure unit cells of the CRLH-TL, with each unit cell including a rectangular radiation patch with one printed O-formed gaps into radiation patch and a spiral or rectangular inductor connected to ground plane through a metallic via. The equivalent circuit model of the antenna structure is shown in Figure 3. Figure 4 shows the geometric structure of the proposed antenna. In each unit cell, the printed O-shaped gap into rectangular radiation patch establishes series capacitance (CL), and spiral or rectangular inductor accompanying metallic via acts like shunt inductance (LL). The TLs possess the right-handed parasitic effects that can be seen as shunt capacitance (CR) and series inductance (LR). The shunt capacitance CR mostly comes from the gap capacitance between the patch and the ground, and unavoidable current flows on the patch and establishes series inductance LR which indicates that these capacitance and inductance cannot be ignored.Equivalent circuit model of theO-formed antenna constructed of four unit cells: (a) for one unit cells, (b) for entire structure.
(a)
(b)Layout of four unit cell of the proposedO-shaped antenna structure: (a) top view, (b) isometric view.
(a)
(b)Obviously in Figure3, CRLH propagation along a given direction can be modeled by the 8-parameter unit cell lumped element circuit. This model essentially exhibits a series capacitance CL and a shunt inductance LL (left-handed (LH)), corresponding to negative permeability and negative permittivity, respectively, but also includes a series inductance LR and a shunt capacitance CR (right-handed (RH)) associated with the magnetic and electric fluxes, respectively, intrinsic to any TL structures, and corresponding to positive permeability and permittivity, respectively (11). In addition to these four reactive parameters, one has the conventional lossy parameters RR and GR (RH) and the lossy parameters GL and RL (LH), which account for the dielectric loss associated with CL and the ohmic loss associated with LL, respectively, and which mostly represent radiation in antenna applications:
(11)μ=Zjω=LR-1ω2CL,ε=Yjω=CR-1ω2LL.In this structure, we used the uniform excitation mechanism by utilizing port 1 and port 2, whereas port 1 is excited with input signal and port 2 is matched with 50 ohm load impedance. Series capacitance can be adjusted by varying distance between printedO-shaped gap edges. This feature provides another important parameter that can be used to change the performance of the antenna. We used the printed planar approach to produce gap capacitance and smaller values of printed gaps into rectangular patches of the radiated patches and also employed suitable structural parameters with their optimized values accompanying uniform excitation mechanism which provides a small size and ultrawideband (UWB) antenna with appropriate radiation characteristics. The CRLH MTM antenna is designed on an FR_4 substrate with thickness of h=0.8 mm, dielectric constant of εr=4.6, and tan δ = 1 × 10−3. The physical size of this antenna is 12 mm × 5.1 mm × 0.8 mm (0.17λ0 × 0.07λ0 × 0.01λ0, where λ0 is the free space wavelength at 4.3 GHz). Obviously in Figure 5, this antenna has 13.7 GHz bandwidth from 4.3 GHz to 18 GHz, which corresponds to 122.86% bandwidth. This make the proposed antenna had to be broad bandwidth accompanying small size enough to fit on the communication devices, and this antenna is much smaller in the size and wider in the bandwidth than conventional compact and UWB antennas. In addition, the maximum gain and radiation efficiency occur at f=12 GHz which are equal to 7.43 dBi and 84.5%, respectively, which are displayed in Figure 6. Presented antenna is attractive and suitable for modern transceivers, wireless communication systems, and UWB applications.Figure 5
Simulated return loss bandwidth (S11<-10 dBi) of the recommended antenna.Simulated radiation gain patterns in elevation plane(Φ=0°) and at operation frequency f=12 GHz. (a) Two-dimensional (2D) case, (b) three-dimensional (3D) case.
(a)
(b)


### 5.2. Bandwidth Increment Design for Miniature Antenna Based on CRLH-TLs

Design procedure of this antenna is completely similar to design procedure of the previous antenna but with the difference that in the latter antenna design number of unit cells from four unit cells to six unit cells is increased, as this increase caused enhancement of the antenna bandwidth. Equivalent circuit model and arrangement of elements of the second proposed antenna are shown in Figures7 and 8, respectively.Equivalent circuit model of the second proposed antenna composed of six unit cells: (a) for one unit cell, (b) for whole structure.
(a)
(b)Arrangement of elements of the latter antenna composed of sixO-formed unit cells: (a) top view, (b) isometric view.
(a)
(b)This antenna is composed of six simplified mushroom structure unit cells as in each unit cellCL and LL are implemented by O-formed gap capacitance and spiral or rectangular inductor connected to ground plane through metallic via hole, respectively, and CR and LR are established by RH parasitic effects. Similar to the first antenna, latter antenna is designed on an FR_4 substrate with thickness of h=0.8 mm, dielectric constant of εr=4.6, and tan δ = 1 × 10−3. The physical length, width, and height of the antenna are 18 mm, 5.1 mm, and 0.8 mm or 0.25λ0, 0.07λ0, and 0.01λ0 in the free space wavelength at f=4.3 GHz, respectively. According to Figure 9, the antenna has 14.3 GHz bandwidth, from 4.3 GHz to 18.6 GHz, which corresponds to 124.89% workable bandwidth. Radiation gains and efficiencies of the proposed antenna vary from −4 dBi to 6.03 dBi and from 5.56% to 57.57%, respectively, and hence the highest gain and radiation efficiency are 6.03 dBi and 57.57%, respectively, that happen at 16 GHz. The simulated radiation gain patterns at 16 GHz are exhibit in Figure 10. As obvious results show, proposed antenna may be good nominee for portable devices, modern wireless communications and transceivers, ultra wide band (UWB) applications, and realizations of apparatus and systems where small area and broad bandwidth are required.Figure 9
Simulated reflection coefficient (S11 parameter) of the O-shaped antenna composed of six unit cells.Simulated radiation gain patterns of the second proposed antenna composed of six unit cells in elevation plane(Φ=0°) and at operation frequency f=16 GHz. (a) Two-dimensional (2D) case, (b) three-dimensional (3D) case.
(a)
(b)


## 5.1.  UWB MTM Cavity Antenna with Shrinking the Physical Size

Design procedure of the proposed antenna is based on a simple topology that incorporates printed planar patches and spiral and rectangular inductors accompanying metallic vias connected to ground plane. This topology makes it possible to combine the antenna with integrated RF electronics. We employed electromagnetic band gap (EBG) unit to act as the radiation unit, which is the simplest way to achieve the series capacitance. With employment of the printed planar technique into radiation patches gap capacitance is created which lead to foot print area reduction, in additions; with choosing a smaller value of the gap capacitance made into radiation patches we can obtain wide bandwidth, and therefore, our antenna has a small size and broad bandwidth. Also beside the small size and the broad bandwidth properties, the radiation characteristics of the antenna are most the important subject. With utilizing of the four unit cells in formO-shaped gap structure, the larger aperture size, the uniform excitation mechanism by employing of two ports as firs port is excited with input signal, and second port matched 50 Ohm load impedance, using suitable structural parameters and using proper inductive elements such as spiral and rectangular inductors with one turn and their optimized dimensions attending vertical via holes with optimized diameters and good realization of the O-shaped gaps; with improvement distance between gap edges, appropriate radiation performances can be achieved. The novel small size ultra wideband antenna with appropriate radiation performances, presented in here, is based on four simplified mushroom structure unit cells of the CRLH-TL, with each unit cell including a rectangular radiation patch with one printed O-formed gaps into radiation patch and a spiral or rectangular inductor connected to ground plane through a metallic via. The equivalent circuit model of the antenna structure is shown in Figure 3. Figure 4 shows the geometric structure of the proposed antenna. In each unit cell, the printed O-shaped gap into rectangular radiation patch establishes series capacitance (CL), and spiral or rectangular inductor accompanying metallic via acts like shunt inductance (LL). The TLs possess the right-handed parasitic effects that can be seen as shunt capacitance (CR) and series inductance (LR). The shunt capacitance CR mostly comes from the gap capacitance between the patch and the ground, and unavoidable current flows on the patch and establishes series inductance LR which indicates that these capacitance and inductance cannot be ignored.Equivalent circuit model of theO-formed antenna constructed of four unit cells: (a) for one unit cells, (b) for entire structure.
(a)
(b)Layout of four unit cell of the proposedO-shaped antenna structure: (a) top view, (b) isometric view.
(a)
(b)Obviously in Figure3, CRLH propagation along a given direction can be modeled by the 8-parameter unit cell lumped element circuit. This model essentially exhibits a series capacitance CL and a shunt inductance LL (left-handed (LH)), corresponding to negative permeability and negative permittivity, respectively, but also includes a series inductance LR and a shunt capacitance CR (right-handed (RH)) associated with the magnetic and electric fluxes, respectively, intrinsic to any TL structures, and corresponding to positive permeability and permittivity, respectively (11). In addition to these four reactive parameters, one has the conventional lossy parameters RR and GR (RH) and the lossy parameters GL and RL (LH), which account for the dielectric loss associated with CL and the ohmic loss associated with LL, respectively, and which mostly represent radiation in antenna applications:
(11)μ=Zjω=LR-1ω2CL,ε=Yjω=CR-1ω2LL.In this structure, we used the uniform excitation mechanism by utilizing port 1 and port 2, whereas port 1 is excited with input signal and port 2 is matched with 50 ohm load impedance. Series capacitance can be adjusted by varying distance between printedO-shaped gap edges. This feature provides another important parameter that can be used to change the performance of the antenna. We used the printed planar approach to produce gap capacitance and smaller values of printed gaps into rectangular patches of the radiated patches and also employed suitable structural parameters with their optimized values accompanying uniform excitation mechanism which provides a small size and ultrawideband (UWB) antenna with appropriate radiation characteristics. The CRLH MTM antenna is designed on an FR_4 substrate with thickness of h=0.8 mm, dielectric constant of εr=4.6, and tan δ = 1 × 10−3. The physical size of this antenna is 12 mm × 5.1 mm × 0.8 mm (0.17λ0 × 0.07λ0 × 0.01λ0, where λ0 is the free space wavelength at 4.3 GHz). Obviously in Figure 5, this antenna has 13.7 GHz bandwidth from 4.3 GHz to 18 GHz, which corresponds to 122.86% bandwidth. This make the proposed antenna had to be broad bandwidth accompanying small size enough to fit on the communication devices, and this antenna is much smaller in the size and wider in the bandwidth than conventional compact and UWB antennas. In addition, the maximum gain and radiation efficiency occur at f=12 GHz which are equal to 7.43 dBi and 84.5%, respectively, which are displayed in Figure 6. Presented antenna is attractive and suitable for modern transceivers, wireless communication systems, and UWB applications.Figure 5
Simulated return loss bandwidth (S11<-10 dBi) of the recommended antenna.Simulated radiation gain patterns in elevation plane(Φ=0°) and at operation frequency f=12 GHz. (a) Two-dimensional (2D) case, (b) three-dimensional (3D) case.
(a)
(b)


## 5.2. Bandwidth Increment Design for Miniature Antenna Based on CRLH-TLs

Design procedure of this antenna is completely similar to design procedure of the previous antenna but with the difference that in the latter antenna design number of unit cells from four unit cells to six unit cells is increased, as this increase caused enhancement of the antenna bandwidth. Equivalent circuit model and arrangement of elements of the second proposed antenna are shown in Figures7 and 8, respectively.Equivalent circuit model of the second proposed antenna composed of six unit cells: (a) for one unit cell, (b) for whole structure.
(a)
(b)Arrangement of elements of the latter antenna composed of sixO-formed unit cells: (a) top view, (b) isometric view.
(a)
(b)This antenna is composed of six simplified mushroom structure unit cells as in each unit cellCL and LL are implemented by O-formed gap capacitance and spiral or rectangular inductor connected to ground plane through metallic via hole, respectively, and CR and LR are established by RH parasitic effects. Similar to the first antenna, latter antenna is designed on an FR_4 substrate with thickness of h=0.8 mm, dielectric constant of εr=4.6, and tan δ = 1 × 10−3. The physical length, width, and height of the antenna are 18 mm, 5.1 mm, and 0.8 mm or 0.25λ0, 0.07λ0, and 0.01λ0 in the free space wavelength at f=4.3 GHz, respectively. According to Figure 9, the antenna has 14.3 GHz bandwidth, from 4.3 GHz to 18.6 GHz, which corresponds to 124.89% workable bandwidth. Radiation gains and efficiencies of the proposed antenna vary from −4 dBi to 6.03 dBi and from 5.56% to 57.57%, respectively, and hence the highest gain and radiation efficiency are 6.03 dBi and 57.57%, respectively, that happen at 16 GHz. The simulated radiation gain patterns at 16 GHz are exhibit in Figure 10. As obvious results show, proposed antenna may be good nominee for portable devices, modern wireless communications and transceivers, ultra wide band (UWB) applications, and realizations of apparatus and systems where small area and broad bandwidth are required.Figure 9
Simulated reflection coefficient (S11 parameter) of the O-shaped antenna composed of six unit cells.Simulated radiation gain patterns of the second proposed antenna composed of six unit cells in elevation plane(Φ=0°) and at operation frequency f=16 GHz. (a) Two-dimensional (2D) case, (b) three-dimensional (3D) case.
(a)
(b)


## 6. Obtained Results of the Proposed Cavity Antennas Based on CRLH Transmission Lines

The antennas were designed and modeled on FR_4 substrates withεr=4.6, thickness of h=0.8 mm, and tan δ = 1 × 10−3. Each unit cell of the proposed antennas occupies only 3 × 5.1 × 0.8 mm3 overall sizes of the proposed antennas are 12 × 5.1 × 0.8 mm3, and 18 × 5.1 × 0.8 mm3, and each of antennas is composed of four and six O-formed unit cells, respectively. According to these dimensions, proposed antennas have very smaller size in comparison to conventional miniature antennas. The simulated results were obtained using Agilent ADS full-wave simulator. As illustrated in Figures 5 and 9, the simulated return loss of bandwidths (S11<-10 dB) of the O-shaped antennas composed of four unit cells is 13.7 GHz (4.3–18 GHz) and combined of six unit cells is 14.3 GHz (4.3–18.6 GHz), which these correspond to approximately 123% and 125% practical impedance bandwidths, respectively, which are more than conventional UWB antennas. The simulated two-dimensional (2D) and three-dimensional (3D) radiation gain patterns of the first antenna at operation frequencies are exhibited in Figures 11 and 12, respectively. Also the same parameters of the latter recommended antenna in 2D and 3D cases at operation frequencies are exhibited in Figures 13 and 14, respectively. Obviously, the radiation patterns have unidirectional characteristics. According to Figure 11 the simulated gains and radiation efficiencies of the O-shaped antenna composed of four unit cells at 4.3, 7, 17, and 18 GHz are 0.1 dBi and 1.5%, 2.2 dBi and 30%, 3.36 dBi and 38.22%, and 3.85 dBi and 32.75%, respectively, and according to Figure 13 these parameters for O-shaped antenna composed of six unit cells at 4.3, 6, 9, and 18.6 GHz are −4 dBi and 5.56%, 0.42 dBi and 23.61%, 1.84 dBi and 42.73%, and 1.06 dBi and 23.42%, respectively. To validate the design procedures, the proposed antennas were compared with several compact and UWB antennas, and their radiation characteristics and their dimensions were summarized in Tables 1 and 2, respectively.Table 1
Radiation characteristics of two compact antennas in comparison to the proposed miniature antennas.
Parameters
[13]
[14]
First antenna
Second antenna
Gain (dBi)
0.6
0.45
7.43
6.03
Bandwidth (GHz)
1-2
0.8–2.5
4.3–18
4.3–18.6
Efficiency  (%)
26
53.6
84.5
57.57Table 2
Dimension of some of the UWB antennas in comparison to the proposed UWB antennas.
Some of the UWB monopole antennas
Size of antenna
Slotted planar binomial monopole antenna [15]
30 × 27.4 × 1 mm3
Slotted circular monopole antenna [16]
26 × 27 × 1 mm3
Slotted rectangular monopole antenna [17]
18 × 20 × 1 mm3
Fork-shaped antenna [18]
35 × 30 × 0.769 mm3
Slotted arc-shaped edge rectangular antenna [19]
24 × 35 × 0.8 mm3
First UWB antenna
12 × 5.1 × 0.8 mm3
Second UWB antenna
18 × 5.1 × 0.8 mm3Simulated two-dimensional (2D) radiation gain patterns of the proposed antenna composed of four unit cells in elevation plane (Φ=0°) and at operation frequencies: (a) at 4.3 GHz, (b) at 7 GHz, (c) at 17 GHz, (d) at 18 GHz.
(a)
(b)
(c)
(d)Simulated three-dimensional (3D) radiation gain patterns of the proposed antenna composed of four unit cells in elevation plane (Φ=0°) and at operation frequencies: (a) at 4.3 GHz, (b) at 7 GHz, (c) at 17 GHz, (d) at 18 GHz.
(a)
(b)
(c)
(d)Simulated two-dimensional (2D) radiation gain patterns of the proposed antenna composed of six unit cells in elevation plane (Φ=0°) and at operation frequencies: (a) at 4.3 GHz, (b) at 6 GHz, (c) at 9 GHz, (d) at 18.6 GHz.
(a)
(b)
(c)
(d)Simulated three-dimensional (3D) radiation gain patterns of the proposed antenna composed of six unit cells in elevation plane (Φ=0°) and at operation frequencies: (a) at 4.3 GHz, (b) at 6 GHz, (c) at 9 GHz, (d) at 18.6 GHz.
(a)
(b)
(c)
(d)


## 7. Privileges of the Suggested UWB Planar Antennas with Ultrashrinking of the Physical Size Based on CRLH MTM-TLS

Proposed CRLH-based antennas are ultra wideband (UWB), low profile, and ultraminiature on a printed circuit board, and consist of superior radiation performances. In fact, the proposed CRLH-based antennas have broader bandwidth than conventional UWB antennas and are very smaller than conventional compact antennas while offering better performances. Furthermore, unlike conventional three-dimensional (3D) antennas which must be designed, tooled, and fabricated as a complex metal and plastic assembly, the proposed antennas shown in Figures4 and 8 are simply designed, tooled, and fabricated in the three-dimensional (3D) configurations. Copper artwork is printed directly on a printed circuit board using standard printed circuit board manufacturing techniques. This offers manufacturers faster time to market and reduced bills of materials due to the simplified design. It also offers a greatly reduced need for fabrication and assembly of antenna components. In addition, the CRLH-based antenna’s ability to concentrate electromagnetic fields and currents near their antenna structures results in achieving better performance. Therefore, proposed UWB and ultracompact CRLH MTM planar antennas can be practical and feasible for commercial uses. CRLH-based shrinking antennas cover frequency bands from 4.3 GHz to 18 GHz and from 4.3 GHz to 18.6 GHz for microwave applications such as transceivers, telecommunication implementations, radar applications, location tracing, and data transmissions that were approved by FCC in 2002 [20].


## 8. Conclusion

A method to reduce the size of planar antennas by the integration ofL-C elements is demonstrated. The planar transmission line model is applied for the analyses of two different antenna topologies. This model allows preliminary design studies and is able to improve the understanding of structural parametric correlations, for example, the connection between bandwidth and the radiation impedance. As a result, miniature planar antennas with dimensions 12 × 5.1 × 0.8 mm3 and 18 × 5.1 × 0.8 mm3 can be implemented.Finally two planar patch antennas with overall sizes of 0.17λ0 by 0.07λ0 by 0.01λ0 at 4.3 GHz and 0.25λ0 by 0.07λ0 by 0.01λ0 at 4.3 GHz are realized. These antennas have 122.86% (from 4.3 to 18 GHz) and 124.89% (from 4.3 to 18.6 GHz) practical bandwidth. Peak gains and maximum radiation efficiencies of the proposed antennas are 7.43 dBi and 84.5% and 6.03 dBi and 57.57%, which happen at 12 GHz and 16 GHz, respectively. Measurements of the realized antennas prove the developed concept and the simulation approach.



---

*Source: 562538-2013-07-11.xml*