In this paper, we introduce a new compact left-handed tunable metamaterial structure, inspired by a joint T-D shape geometry on a flexible NiAl2O4 substrate. The designed metamaterial exhibits an extra-large negative refractive index bandwidth of 6.34 GHz, with an operating frequency range from 4 to 18 GHz. We demonstrate the effects of substrate material thickness on the effective properties of metamaterial using two substrate materials: 1) flame retardant 4 and 2) flexible nickel aluminate. A finite integration technique based on the Computer Simulation Technology Microwave Studio electromagnetic simulator was used for our design, simulation, and investigation. A finite element method based on an HFSS (High Frequency Structure Simulator) electromagnetic simulator is also used to simulate results, perform verifications, and compare the measured results. The simulated resonance peaks occurred at 6.42 GHz (C-band), 9.32 GHz (X-band), and 16.90 GHz (Ku-band), while the measured resonance peaks occurred at 6.60 GHz (C-band), 9.16 GHz (X-band) and 17.28 GHz (Ku-band). The metamaterial structure exhibited biaxial tunable properties by changing the electromagnetic wave propagation in the y and z directions and the left-handed characteristics at 11.35 GHz and 13.50 GHz.
Research Article; Physical sciences; Physics; Resonance; Resonance frequency; Materials science; Materials by structure; Metamaterials; Engineering and technology; Signal processing; Bandwidth (signal processing); Research and analysis methods; Chemical characterization; Optical analysis; Refractive index; Material properties; Permeability; Chemistry; Chemical elements; Nickel; Electromagnetic radiation; Waves; Wave propagation
A metamaterial is an artificial composite periodic material with unusual properties that are unavailable in nature. Metamaterials have greatly interested the scientific research community because of their unique characteristics, such as negative refraction, perfect absorption, magnetism, sub-wavelength focusing, varying chiralities and so on. Because of their cellular architecture (rather than chemical composition), metamaterials exhibit unusual electromagnetic properties, and the materials can control electromagnetic wave beams in predictable ways. Because of these peculiar electromagnetic properties, metamaterials have unique potentials for various applications, such as antenna applications, power absorption, sensing, terahertz applications, energy harvesting, super lens applications, etc. In 1967, V. G. Veselago [[
By tuning the properties of a component (or by simply adjusting the geometries of a metamaterial structure), it is possible to modify the general properties of artificial materials. Material tuning properties are critical for many applications, like the flexible control of wave propagation, tunable lenses, sensor technology, etc. To tune the resonance of an SRR, Aydin et al. [[
In this paper, a new left-handed metamaterial structure with a modified substrate is proposed. The proposed metamaterial exhibits resonance frequencies in the C-band, X-band and Ku-band in the microwave regime. Two different types of substrate are used to introduce this new metamaterial design: a conventional flame retardant 4 (FR-4) substrate, and a nickel aluminate (NiAl
The proposed tunable metamaterial unit cell structure is composed of a joint T-D shaped SRR and its schematic view is shown in Fig 1(a). The structure was designed with T- and D-shaped parts. One part is symmetrical with another part, and the two are connected by an electrical slab. The designed T-shaped part has horizontal and vertical components. The horizontal part is indicated by t
In recent year, several flexible substrates have been used: ceramic substrates, NiAl
The electromagnetic field is mainly delivered to the structure to get different radiation properties and displays some rare characteristics. The parameters and dimensions are identified in the Table 1. Table 1 specifies that ‘a’ is the substrate length and ‘b’ is the substrate width. The D- alphabet half circular shape’s outer radius is r
Table 1: Design parameter of the proposed flexible metamaterial structure.
Parameters Dimension (mm) Parameters Dimension(mm) a 9.00 w1 0.50 b 9.00 w2 1.00 d 8.00 t1 5.20 r1 4.00 t2 4.48 r2 3.50 t3 2.00 j1 0.75 t4 1.60
We used numerical methods to extract the scattering parameters and identify the resonance frequencies of the proposed structure. Our numerical methods used both a finite integration technique (FIT) based on the electromagnetic simulator computer simulation technique (CST) Microwave Studio and a finite element method (FEM) based on a high-frequency structure simulator (HFSS). These scattering parameters were used to retrieve the effective refractive index (η
The refractive index η
For measurement purposes, the metamaterial unit cell is positioned between two microwave waveguide ports. Three different types of wave ports are used to measure three different frequency bands: for C-band (
The electromagnetic wave propagation is delivered in the z- and y-direction to analyze the metamaterial prototype in section 4.1.1 and 4.1.2 and section 4.1.3 represent the effect of changing substrate thickness.
Fig 3(a) depicts the simulated geometry of the proposed metamaterial design in the z-direction of electromagnetic wave propagation. The reflection coefficient (S
The effective parameters permittivity, permeability and refractive index are shown in Fig 3(e). From that figure the effective permittivity shows negative characteristics from 4.65 GHz to 6.92 GHz (bandwidth 2.27 GHz), 7.34 GHz to 9.83 GHz (bandwidth of 2.49 GHz), and 11.11 GHz to 14.36 GHz (bandwidth of 3.25 GHz). The permeability is showed negativity from 10.55 GHz to 18 GHz. The oscillator current and applied field current is in phase when the frequency is in the lower region. However, the current lags and fails to remain in phase with the applied field at higher frequency levels. This yields negative permeability at that frequency. Negative refractive index is from 4 GHz to 6.35 GHz (bandwidth of 2.35), 7.64 GHz to 9.25 GHz (bandwidth of 1.61), 10.18 GHz to 13.73 GHz (bandwidth of 3.55 GHz), and 16.88 GHz to 18 GHz (bandwidth of 1.12 GHz). At 11.35 GHz and 13.50 GHz effective parameters are negative. Therefore, it exhibits left-handed properties at 11.35 GHz and 13.50 GHz.
To observe the physical phenomena of the proposed design and understand how the structure works when it is placed into an electromagnetic field region, the surface current distributions are analyzed for different frequencies. The surface current distributions of the proposed unit cell at 6.60, 9.16, 17.28, and 11.35 GHz are shown in Fig 4(a) to 4(d). The arrows represent the direction of the current distribution in the overall structure resonator, and the colors express the intensity. At 6.60 GHz in Fig 4(a), the surface current is distributed throughout the whole structure, because its measured transmission coefficient bandwidth is sufficiently large.
Although surface currents are distributed throughout the structure, they are strongly concentrated in the symmetric D-shaped vertical parts, and current flows in the opposite direction from those metal strips. This effect creates a stop band by nullifying the current. In Fig 4(c), the surface current is shown for a resonant frequency of 17.28 GHz. At that frequency, the current is weakly distributed throughout the whole structure. From Fig 4(b) and 4(d) the surface current distribution is more dance in three regions that are electric slab that connected two symmetrical joint T-D shaped, joint point of the T-D shape, and vertical component of the D shape. The surface currents flow in opposite directions in two opposing ring resonators. Therefore, a stop band is created by nullifying the current. In actuality, two conductor currents are anti-symmetric at the resonance and form a loop, which can be characterized as an equivalent magnetic dipole moment. The artificial magnetism of the structure is created in this magnetic moment, which causes the affective negative permeability of the structure.
Resonance frequency depends on various conditions such as substrate dielectric permittivity, thickness of the substrate, positioning of the substrate in the electromagnetic field, design structure on a substrate or by changing the substrate material. In this case, the resonance frequency depends on not only the substrate thickness, but also substrate itself reason for varying resonance frequency by changing its position in electromagnetic field and by using different metamaterial structure on a substrate. In this research, resonance frequency depends on metamaterial structure. It can be seen when some changes are done on the design of the proposed metamaterial structure shown in Fig 5(a). Three different modified structure of the proposed metamaterial is presented to verify the dependency of resonance frequency to the metamaterial structure. The structures are donated as modified structure 1 (MS1), modified structure 2 (MS2) and modified structure3 (MS3) in Fig 5(b) to 5(d). MS1 means split in electrical slab that is linked between two symmetrical joint T-D shapes. MS2 means split between T- and D-shape are joint slab indicated by j1. Finally, MS3 means split in electrical slab and split in j1 for both of the Symmetrical T-D structure. MS1 separates the two symmetrical T-D Shape, MS2 separates the two alphabet structure T and D. Finally, MS3 separate two T-, D- joint and two symmetrical T-D joint part.
Table 2 and Fig 6, illustrates the resonance frequencies of modified structures (MS1, MS2 and MS3) as well as proposed metamaterial structure. When modified structure 1 is analyzed for its resonance characteristics, then it creates only two resonating points which are denoted by transmission coefficient, but the resonating point in 7.02 GHz with -8.40 dB, which is not valid resonance. Therefore, MS1 has only one resonance frequency of 16.68 GHz, which is only working in Ku band. The MS2 design contains three resonance frequency but its working bands are C-and Ku-band. The MS3 design has also resonance frequency but it's only working in the X-band region. Compare with the proposed metamaterial structure with the modified structures, it can be concluded that the proposed metamaterial has better resonance frequencies and applicable for Tri-band applications.
Table 2: Summary of resonance points of proposed and modified metamaterial structures.
Structure type Resonance Peaks (GHz) Working band Proposed structure 6.42, 9.32, 16.90 C, X, Ku Modified structure 1 16.68 Ku Modified Structure 2 6.54, 7.98, 16.72 C, Ku Modified Structure 3 10.95 X
Different design structure reacts with electromagnetic field differently. The electric field and magnetic field are differently reacting with metal structure and dispersive material combination. Metal structure and dispersive material combined package respond like an inductor and capacitor based LC resonant circuit. The metal strip is behaving like inductors and its gaps are behaved like a capacitor. Therefore, when metal strip and its gap are changing then inductance and capacitance effects are also changing in the structure. Effect of electric and magnetic field are represented while electric field applied in the x axis and magnetic field applied in the y axis. Fields are behaving differently for increasing the split gap or separate the two symmetric designs. The effect of both fields in structures at resonance frequency is presented in Fig 7. Resonance frequency depends on electromagnetic fields reaction on design structure and fields face different structure they produced a different resonance.
To establish the biaxial properties electromagnetic waves are propagating in the y-axis direction of the proposed structure. The methodology, the boundary condition and frequency range are same like as z-axis wave propagation. Fig 8(a) shows the geometry of the proposed structure, positioned along the y-axis of electromagnetic wave propagation. Fig 8(b) shows the transmission coefficient S21 of the proposed structure for the y axis wave propagation. From there, the resonance (below -10 dB) frequencies are at 6.05 GHz (-43.77 dB), 8.53 GHz (-16.49 dB), and 13.69 GHz (-40.84 dB). The retrieved values for effective parameter permittivity, permeability, and refractive index are shown in Fig 8(c). From that figure, the negative values of permittivity are 5.83 to 6.74 GHz (bandwidth of 0.91 GHz), 7.45 to 10.23 GHz (bandwidth of 2.78 GHz) and 13.24 to 18 GHz (bandwidth of 4.72 GHz). According to the figure, the negative permeability’s range from 5.68–5.94 GHz and 12.28–13.56 GHz. Additionally, the real value of the negative refractive index ranges from 5.75–6.04 GHz (bandwidth of 0.29 GHz) and 12.84–18 GHz (bandwidth of 5.16 GHz). Here, at 13.36 GHz, the effective parameters of permittivity, permeability, and refractive index are all negative. Therefore, this metamaterial structure is referred to as a left-handed metamaterial.
Table 3 presents a summary of the proposed metamaterial in the y- and z-directions of wave propagation. The biaxial metamaterial has left-handed characteristics in the z-direction, with wave propagation at 11.35 GHz (X-band) and 13.50 GHz (Ku-band). In contrast, in the y-direction, left-handed wave propagation properties occur at 13.36 GHz (Ku-band). From Table 3, the proposed structure represents tuning properties. Both on the direction it produces resonance in the C-band, X band, and Ku-band. For the C-band it was shifted from 6.42 to 6.05 GHz, for the X-band from 9.32 to 8.53 GHz, and for the Ku-band from 16.90 to 13.69 GHz. For all of the cases, the resonance frequencies worked in three applicable bands. Therefore, this is referred to as a biaxial metamaterial with tunable properties.
Table 3: Performance of the proposed metamaterial in the z- and y-direction wave propagation.
Propagation Direction Resonance Frequency (GHz) Refractive index Bandwidth Metamaterial Type z 6.42, 9.32, 16.90 3.55 Left Handed y 6.05, 8.53, 13.69 5.16 Left Handed
We varied substrate thicknesses and studied how this affected the resonance frequencies and effective electromagnetic properties. Substrate properties like permittivity, permeability, and loss tangent were kept constant, and only the substrate thickness was varied. This was done to verify the tuning properties. Fig 9 shows the simulated S
Fig 10(a) to 10(c) show the effects of substrate thickness variations on the effective parameters. The effects of thickness variations on permittivity are shown in Fig 10(a). From that figure, it can be seen that when the thickness of the substrate increases, the negative permittivity bandwidth also increases. By increasing the substrate thickness, the negative electric response region is shifted from a higher frequency to a lower frequency. In Fig 10(b), the permeability is shown when varying the thickness of the substrate. The negative magnetic response bandwidth is shifted toward a lower frequency by increasing the substrate thickness. The refractive coefficient is shown in Fig 10(c).
In the case of the negative refractive index bandwidth, the substrate thickness when decreases it increases. So this can be summarized that the resonance frequency and effective properties are sensitive to the effective electrical thickness of the substrate. In fact, the joint T-D structure can be treated as an equivalent LC circuit under the excitation of the incident wave. The capacitance increases with the increase in the substrate electrical thickness, therefore the resonance frequencies are reduced. Besides, the field created by the capacitor is limited in the smaller region when the substrate effective electrical thickness increases, therefore the variation of the capacitance develops less and tends to saturate. Table 4 represents the effect of resonance tuning frequencies at different thickness.
Table 4: Thickness variation effects on the resonance frequency for proposed metamaterial.
Thickness (mm) 0.60 0.76 1.00 1.20 1.40 1.60 1.80 Resonances (GHz) 6.83 6.77 6.71 6.52 6.49 6.42 6.36 10.42 10.16 9.90 9.52 9.48 9.32 9.21 17.72 17.63 17.32 17.21 17.10 16.90 16.68
The electromagnetic wave is propagated on the metamaterial prototype in the z- and y-direction to analyze the biaxial property of the proposed structure in section 4.2.1 and 4.2.2. Later, section 4.2.3 represents the effect of changing thickness substrate.
A new flexible nickel aluminate (NiAl
The simulated reflective coefficient (S
The effective medium parameters for permittivity, permeability, and refractive index are represented in Fig 11(d). The effective permittivity values are negative from 4.99–6.81 GHz (bandwidth of 1.82 GHz), 7.39–10.14 GHz (bandwidth of 2.75 GHz), 12.04–14.59 GHz (bandwidth of 2.55 GHz) and 17.50–17.93 GHz (bandwidth of 0.43 GHz), as shown in Fig 11(d). The effective permeability values were negative from 9.98–18 GHz, as shown in Fig 11(d). Current and applied fields are not in phase in the higher frequency range. However, at lower frequencies, they are in phase with one another, so permeability becomes negative at higher frequencies. Negative refractive index values occur from 4–6.48 GHz (bandwidth of 2.48), 7.42–13.76 GHz (bandwidth of 6.34) and 17.07–18 GHz (bandwidth of 0.30 GHz). The maximum negative refractive index bandwidth is 6.34 GHz. At 17.52, 12.09, and 10.01 GHz, the amplitudes of permittivity, permeability, and refractive index are negative respectively. Therefore, left-handed characteristics are exhibited at 17.52 GHz, 12.09 GHz and 10.01 GHz.
To analyze the physical characteristics of the proposed design, surface current distributions were obtained for different frequencies. The surface current distributions of the proposed unit cell at frequencies of 6.85, 10.18, 16.17, and 12.09 GHz are shown in Fig 12(a) to 12(d). The proposed nickel aluminate substrate metamaterial had a much stronger surface current reaction than the FR-4 substrate metamaterial. At a frequency of 6.85 GHz, the current intensity was much stronger throughout the structure because of the substrate ferromagnetic properties and resonance magnitude. At this frequency, stronger surface currents occur, because of the transmission coefficient bandwidth. In Fig 12(c), the surface current is similar to that in Fig 12(a). However, its current distribution is weaker than the first resonance frequency. At this frequency, the current is stronger at the joint point of the T- and D-shapes. In Fig 12(b) and 12(d), the surface current distributions are more concentrated in the T-shape’s vertical and horizontal part as well as T- and D-shape joint point and D-shape’s vertical part also. The surface currents flow in opposite directions in two opposite ring resonators. Therefore, stop bands are created by nullifying the current.
The proposed substrate metamaterial structure, then replaced in the y-direction of electromagnetic wave propagation, to demonstrate the biaxial properties. The methodology, boundary conditions, and frequency range were same as for the z-axis wave propagation. Fig 13(a) shows the geometry of the proposed structure, positioned to show y-axis electromagnetic wave propagation. The transmission coefficient of the proposed structure with respect to y-axis wave propagation is shown in Fig 13(b). From the figure, we can see that the resonance frequencies are 6.39 GHz (-58.03 dB), 9.23 GHz (-39.66 dB), 14.62 GHz (-36.79 dB), and 17.30 GHz (-43.01).
The effective parameters of permittivity, permeability, and refractive index are shown in Fig 13(c) for y-axis electromagnetic wave propagation. The negative values of permittivity are 5.00–6.00 GHz (bandwidth of 1 GHz), 6.32–13.29 GHz (bandwidth of 6.97 GHz), 14.40–17.16 GHz (bandwidth of 2.76 GHz) and 17.3–18 GHz (bandwidth of 0.70 GHz) that are shown in Fig 13(c). According to the figure, negative permeability is 5.14–6.33 GHz, 12.10–13.88 GHz, 13.99–14.33 GHz, and 17.14–17.27 GHz. Additionally the real values of the negative refractive index range from 5.09–6.04 GHz (bandwidth of 0.95 GHz), 7.44–8.24 GHz (bandwidth of 0.80 GHz), 8.33–10.34 GHz (bandwidth of 2.01 GHz), 11.25–13.52 GHz (bandwidth of 2.27 GHz), and 15.43–17.90 (bandwidth of 2.47 GHz). The maximum negative refractive index bandwidth is 2.47 GHz. Here, at frequencies of 5.49, 7.82, and 12.45 GHz, all the effective parameters (permittivity, permeability, and refractive index) are negative. Because these frequencies are negative, we can refer to this material as a left-handed metamaterial. Table 5 presents a summary of the proposed metamaterial for the nickel aluminate substrate in the y- and z-directions of electromagnetic wave propagation. The biaxial metamaterial shows left-handed characteristics in the z-direction of wave propagation at 10.01, 12.09, and 17.52 GHz. In contrast, in the y-direction, wave propagation left-handed properties are exhibited at 5.49, 7.82, and 12.45 GHz. From Table 5, we can see that the present structure has tuning properties. Both on the direction it gives resonance in the C-band, X band, and Ku-band. For the C-band, it shifted from 6.58 GHz to 6.39 GHz, for the X-band from 10.21 GHz to 9.23 GHz. In the Ku-band, two resonances were produced for y-axis wave propagation. For both axes, resonance frequencies worked in three bands in a fixed region, and the material can be tuned by changing its electromagnetic wave propagation. Therefore, it is referred to as a biaxial tuned metamaterial.
Table 5: Performance of the proposed metamaterial in the z- and y-direction wave propagation.
Propagation Direction Resonance Frequency (GHz) Refractive index Bandwidth Metamaterial Type z 6.58, 10.21, 17.14 6.34 Left Handed y 6.39, 9.23, 14.62, 17.30 2.47 Left Handed
The thickness of the nickel aluminate substrate was also varied, to improve its performance relative to the FR-4 substrate, and examine how its resonance frequency and electromagnetic properties were affected. All of the electromagnetic properties (like, permittivity, permeability, and loss tangent) were kept constant during the thickness variations, to demonstrate the existence of the tuning property. Fig 14 shows how the resonance frequency was affected by variable substrate thicknesses, while Fig 15 shows how the effective parameters were affected by variable substrate thicknesses.
The transmission coefficient (S
Notice that the resonance frequencies become saturated with increases in the thickness of the substrate. In Fig 15(a) to 15(c) we show how the effective parameters are affected by variations in the thickness of the substrate. The effects of thickness variations on the permittivity values are shown in Fig 15(a). From that figure, it can be seen that when the thickness increases, the negative electric response region shifts from a higher frequency to a lower frequency. The bandwidth of negative permittivity increases with increasing substrate thickness. In Fig 15(b), the permeability’s are shown for substrates with varying thicknesses. The negative magnetic response region is shifted toward a lower frequency by increasing the substrate thickness. The refractive coefficient is shown in Fig 15(c).
The negative refractive index bandwidth increases with decreasing substrate thickness. A negative refractive index is formed because of the opposite directions of the phase and group velocity. However, it can also be said that the resonance frequency and effective properties are affected by the effective electrical thickness of the substrate. Under the excitation of an incident wave, the proposed structure can also be treated like an equivalent LC resonant circuit. By increasing the electrical thickness of the substrate, the capacitance also increases, just as it does for the FR-4 substrate. As a result, the resonance frequency is reduced or shifted to a low frequency level. Besides, the created capacitance field is limited to a small region while the substrate thickness increases. As a result, the capacitance change become increasingly less saturated for further increases in thickness. Besides, when the substrate thickness increases, its resonance frequency decreases for all applicable bands. The effective properties can be altered significantly by changing the substrate thickness. Table 6 presents the effects of resonance tuning for different thickness values.
Table 6: Thickness variation effect on resonance frequency for proposed metamaterial structure.
Thickness (mm) 0.60 0.76 1.00 1.20 1.40 1.60 1.80 Resonances (GHz) 6.58 6.33 6.19 6.14 6.11 6.10 6.08 10.01 9.61 9.30 9.09 8.95 8.84 8.76 16.96 16.51 16.19 16.03 16.15 15.91 15.85
Nickel shows ferromagnetic properties. Because of these properties, the nickel aluminate substrate performs better than the FR-4 substrate. When electromagnetic waves propagate over a material, the electric and magnetic fields oscillate with a sinusoidal pattern. The electrical conductivity of any material that actually depends on the internal structure of the material dominates the velocity of the electromagnetic wave running through it. The relative speed of an electrical signal traveling through a material varies according to variations in the material’s internal structure; these variations create different transmission characteristics. The effective parameters are directly related to current distribution and charge properties of the medium. The nickel aluminate substrate resonance point shifts slightly relative to the FR-4 substrate. According to the two software programs and measured data, the obtainable dB magnitude for nickel aluminate is higher than that for the FR-4 substrate metamaterial. The value of the negative refractive index bandwidth is approximately double for the nickel aluminate substrate based metamaterials. The surface current distribution is more concentrated, and higher current flow occurs in the nickel aluminate substrate metamaterial structure, for almost the same resonance and DNG frequency. In both cases, the proposed design exhibits left-handed properties. For thickness variation processes, the thickness of the FR-4 substrate is varied from 0.60 mm to 1.80 mm. On behalf of C-band, X-band and Ku-band, resonance frequency are drops 0.47 GHz, 1.21 GHz and 1.04 GHz bandwidth when the thickness increases. Therefore, the resonance frequency can be tuned by changing the substrate thickness within that range. In contrast, for the nickel aluminate substrate based metamaterial, C-band, X-band and Ku-band resonance frequency are covered 0.50 GHz, 1.34 GHz and 1.11 GHz bandwidth tuning by increasing the substrate thickness. Within that thickness limit, the nickel aluminate metamaterial performed better than the FR-4 metamaterial.
A comparison of how the resonance frequency can be tuned by changing the substrate thickness is shown in Fig 16(a) to 16(c). Three different frequency bands are divided into three parts to produce a more specific result. Fig 16(a) shows that by increasing the thickness of the nickel aluminate substrate, the resonance frequency decreases. However, at a certain point saturation conditions are reached. Further increases in the resonance frequency create little effect under these saturation conditions. Therefore, from that thickness range, the substrate can be chosen for the specific C-band resonance frequency. Similarly, it can be applied to the X-band and Ku-band. The equations used to derive the effect on resonance frequency of increasing the nickel aluminate substrate thickness for the C-band, X-band and Ku-band are: f=-0.7804t3+3.3507t2-4.8911t+8.411 (
Table 7 compares the operating frequencies, prototype dimensions, frequency bands, metamaterial classifications, and types of substrates used in previous work. The designed metamaterial structure works in C-, X- and Ku-bands, and only for 9 × 9 mm
Table 7: Comparing the experimental results of the proposed structure to the previous work.
Properties Hasan et al. Ref. [6] Benosman et al. Ref. [8] Hasan et al. Ref. [9] Rizwan et al. Ref. [11] Dhouibi et al. Ref. [12] Proposed Design Dimension (mm2) 9×9 3.63×3.63 10×10 2×2 6×6 9×9 Substrate Material FR-4 FR-4 FR-4 FR-4 FR-4 FR-4 & NiAl2O4 Working Frequency (GHz) 2 to 14 10×10 2 to 14 1 to 40 4 to 5.5 4 to 18 Bands C-, X-, Ku Ku S-, C-, Ku K-, Ka C C-, X-, Ku Metamaterial Type Biaxial Left Handed Left Handed Left Handed Left Handed Single Handed Biaxial Left Handed
A new joint T-D shaped biaxial metamaterial was presented for C-, X- and Ku-band applications. The metamaterial could be tuned by varying the thickness of the substrate material (FR-4 or flexible NiAl
DIAGRAM: Fig 1: Metamaterial joint T-D geometry, equivalent circuit and fabrication. (a) Proposed metamaterial unit cell structure, (b) equivalent circuit [], (c) Flexible Nickel aluminate material (NiAl2O4); fabricated proposed design on (d) FR-4 substrate and (e) 2×2 array prototype on flexible NiAl2O4 substrate.
DIAGRAM: Fig 2: Measurement set-up of the proposed flexible metamaterial structure.
DIAGRAM: Fig 3: Simulation set-up with simulated and experimental results. (a) The geometry of the proposed structure in z-axis wave propagation, (b) Simulated reflection and transmission coefficients in CST, (c) Simulated reflection and transmission coefficients in HFSS, (d) The measured and simulated comparative result, (e) Amplitude of Effective parameters, (f) Results of 13 × 18 mm2 unit cell array refraction and transmission coefficient.
DIAGRAM: Fig 4: Surface current distribution at (a) 6.60 GHz, (b) 9.16 GHz, (c) 17.28 GHz and (d) 11.35 GHz.
DIAGRAM: Fig 5: Design of metamaterial unit cell. (a) Proposed structure (b) modified structure 1 (c) modified structure 2 (d) modified structure 3.
DIAGRAM: Fig 6: Resonance frequency points of proposed, MS1, MS2 and for MS3 metamaterial structures.
DIAGRAM: Fig 7: E-fields for (a) proposed structure at 9.32 GHz (b) MS1 at 16.68 GHz (c) MS2 at 7.98 GHz (d) MS3 at 10.95 GHz and H-fields for (e) proposed structure at 9.32 GHz (f) MS1 at 16.68 GHz (g) MS2 at 7.98 GHz (h) MS3 at 10.95 GHz.
DIAGRAM: Fig 8: Metamaterial characterization at (a) the geometry for y axis wave propagation, (b) the simulated refraction and transmission coefficient, (c) amplitude of effective parameters.
DIAGRAM: Fig 9: Simulated transmission coefficient at the thickness of 0.50 mm, 0.76 mm, 1.00 mm, 1.20 mm, 1.40 mm, 1.60 mm and 1.60 mm in, (a) C-band, (c) X-band, (e) Ku-band simulated by CST Microwave studio software and (b) C-band, (d) X-band, and (f) Ku-band simulated by HFSS software.
DIAGRAM: Fig 10: Simulated effective parameters. (a) permittivity (b) permeability and (c) refractive index at the thickness of 0.50 mm, 0.76 mm, 1.00 mm, 1.20 mm, 1.40 mm, 1.60 mm and 1.60 mm.
DIAGRAM: Fig 11: Simulation set-up and experimental results. (a) The geometry for z-axis wave propagation, (b) Reflection and transmission coefficients simulated by CST and HFSS electromagnetic simulator, (c) Measured and simulated transmission coefficients, (d) Amplitude of the effective parameters.
DIAGRAM: Fig 12: Surface current distribution at (a) 6.85 GHz, (b) 10.18 GHz, (c) 16.17 GHz and (d) 12.09 GHz.
DIAGRAM: Fig 13: Metamaterial characterization at (a) the geometry at y-axis wave propagation, (b) simulated transmission coefficient, (c) effective permittivity, permeability and refractive index parameters.
DIAGRAM: Fig 14: Simulated transmission coefficients at the thickness of 0.50 mm, 0.76 mm, 1.00 mm, 1.20 mm, 1.40 mm, 1.60 mm and 1.60 mm in, (a) C-band, (c) X-band, (e) Ku-band simulated by CST Microwave studio software and (b) C-band, (d) X-band, and (f) Ku-band simulated by HFSS software.
DIAGRAM: Fig 15: Simulated effective parameters at the thickness of 0.50 mm, 0.76 mm, 1.00 mm, 1.20 mm, 1.40 mm, 1.60 mm and 1.60 mm are, (a) permittivity, (b) permeability and (c) refractive index.
DIAGRAM: Fig 16: The resonance frequencies are changing with different substrate thickness at (a) C-band (b) X-band (c) Ku-band.
By Eistiak Ahamed, Methodology; Md. Mehedi Hasan, Software; Mohammad Rashed Iqbal Faruque, Writing – review & editing; Mohd Fais Bin Mansor, Supervision; Sabirin Abdullah, Writing – review & editing and Mohammad Tariqul Islam, Writing – review & editing