Microfluidically frequency-reconfigurable compact self-quadruplexing tunable antenna with high isolation based on substrate integrated waveguide

This communication presents a novel concept of microfluidically frequency-reconfigurable self-quadruplexing tunable antenna for quad-band applications. At the initial design stage, a substrate-integrated square cavity is divided into four unequal quarter-mode cavity resonators by inserting an X-shaped slot on the top surface of the cavity. Applying four 50-Ω microstrip feed-lines to these four quarter-mode cavity resonators enables quad-band operation with self-quadruplexing capabilities. The feed lines are organized orthogonally and off-center, which leads to port isolation greater than 32.3 dB. An equivalent network model is developed to validate the proposed antenna. To realize frequency reconfigurability, two microfluidic channels corresponding to each port are created by engraving the bottom surface of the cavity. To create a reconfigurable self-quadruplexing antenna, the channels are either filled with air or dielectric liquids of higher permittivity, so that the design offers independent tunability of the operating frequencies. As a proof of concept, the prototype of a self-quadruplexing tunable antenna is fabricated and validated through measurements. The antenna prototype occupies a footprint area of 0.37λg2. The design exhibits frequency tuning ranges of 350 MHz (8.3%), 500 MHz (10.3%), 610 MHz (11.2%), and 845 MHz (14.1%) for the first, second, third, and fourth operating bands, respectively. In all bands and across the entire tuning range, the realized gains of the designed antenna exceed 4.05 dBi. The electromagnetic modeling responses agree extremely well with the measured characteristics.

To address the aforementioned issues, a number of SIW-based self-diplexing [10][11][12][13][14] , self-triplexing 15 , self-quadruplexing [16][17][18][19][20][21][22][23][24] , self-pentaplexing 25 , and self-hexaplexing 26,27 antennas have been studied.A U-shaped slot has been engraved on the top-surface of the SIW to construct a self-diplexing antenna 10 .A compact self-diplexing antenna has been realized based on a bowtie-ring slot backed by SIW 11 .Based on shielded QMSIW, an extremely compact self-diplexing antenna has been presented 12 .To create a tunable antenna, a half-mode SIW cavity filled with a varactor diode-loaded slot has been used 13 .To design a tunable self-diplexing antenna, SIW-based modified A-shaped slot with microfluidic channels have been employed 14 .To create a self-triplexing antenna, a shielded half-mode SIW loaded with an inverted U-shaped slot has been used 15 .The use of cavity-backed four V-shaped slots has led to the development of a self-quadruplexing antenna 16 .Circular polarized self-quadruplexing antennas have been designed using SIW square cavity-backed four T-shaped slots 17 .A miniature self-quadruplexing antenna has been built using a circular SIW cavity filled with C-shaped and arc-shaped slots 18 .Four radiating patches have developed on the topside of the SIW cavity to produce a self-quadruplexing antenna 19 .Using quarter-mode SIW cavities filled with arc-shaped slots, a miniature self-quadruplexing antenna has been realized 20 .A self-quadruplexing antenna for microwave and mm-wave applications has been created by converting a SIW square cavity into two half-mode cavities 21 .Based on SIW cavity-backed four separately-fed U-shaped slots, a self-quadruplexing multiple-input multiple-output (MIMO) antenna has been developed 22 .In Ref. 23 , an ultracompact self-quadruplexing antenna has been realized based on U-shaped slots.In Ref. 24 , half-mode SIW cavity resonators have been employed for the realization of a compact SQA foe microwave and mm-wave applications.Utilization of the SIW cavity featuring T-shaped and П-shaped slots, led to a development of a self-quintuplexing antenna 25 .SIW cavity-backed six radiating patches have been used to create a self-multiplexing antenna for hexaband applications 26 .A self-hexaplexing antenna has been constructed using a substrate-integrated rectangular cavity loaded with two П-shaped slots 27 .The self-multiplexing antennas such as the ones listed above feature fixed resonating frequencies.The aforementioned structures must be modified in order to access new operating frequencies, which will increase the cost of the system while incurring additional time expenditures.Investigating options for design of frequency-reconfigurable self-multiplexing antennas is a challenging endeavor, yet necessary to solve the aforementioned issues.
Due to their advantages over micro-electromechanical systems (MEMS) and semiconductor devices, microfluidically frequency reconfigurable microwave passive components have recently attracted considerable attention [28][29][30][31][32] .Employing a liquid-metal switching mechanism, a frequency-reconfigurable microstrip antenna has been developed 28 .The use of capacitive-microfluidic switches has been used to create a frequency-configurable microstrip slot antenna 29 .Fluidic channels have been used to produce a frequency-tunable annular slot antenna with a coplanar waveguide-feed 30 .Fluidic channels have been used to produce a dual-band microstrip annular slot antenna that is independently controllable 31 .A tunable monopole antenna with a capacitive coupled mechanism produced by substrate stack-up has been implemented using a microfluidic channel 32 .
This article introduces a unique concept for a self-quadruplexing tunable antenna that can be microfluidically frequency-configurable for quad-band applications.First, an X-shaped slot is inserted on the top surface of a square substrate-integrated cavity to divide it into four unequal quarter-mode cavity resonators (QMCR).These resonators are excited by 50-Ω microstrip feed-lines to obtain quad-band operation with self-quadruplexing capability.Two microfluidic channels that correspond to each QMCR are constructed by carving the cavity's bottom surface in order to enable frequency-reconfigurability.The adjustment of operating frequencies is realized by filling the channels with air or distilled water.For validation, a prototype of the microfluidic frequencyreconfigurable self-quadruplexing tunable antenna is constructed and experimentally demonstrated.The original contributions of the paper and the key advantages of the antenna presented in this study are as follows: 1. To the best of the author's knowledge, a microfluidically frequency-reconfigurable self-quadruplexing tunable antenna is reported for the first time in the open literature; 2. The presented antenna has a small footprint area of 0.37λ 2 ; 3. Verification of the proposed frequency adjustable antenna has been carried out using an equivalent circuit model; 4. Frequency tunability is straightforward and only requires filling two fluidic channels associated at each QMCR with various liquids of high relative permittivity; 5.The antenna exhibits frequency tuning ranges of 350 MHz (8.3%), 500 MHz (10.3%), 610 MHz (11.21%), and 845 MHz (14.1%) for the first, second, third, and fourth operational bands, respectively; 6.The minimum isolation level is greater than 32.3 dB at all bands and across the entire tuning range; 7. The realized gain of the antenna is better than 4.05 dBi in all bands and over the entire tuning range.

Antenna design and analysis
The geometry of the proposed frequency tunable self-quadruplexing antenna with optimized dimensions has been depicted in Fig. 1.The CST Microwave Studio is used to simulate and analyze the proposed tunable antenna.The antenna is constructed using a square cavity, an X-shaped slot, four microstrip feed lines, and fluidic channels.Figure 2 shows the design stages of the device.Initially, a SIW square cavity (30 mm × 30 mm) is designed to operate in TE 110 mode at 4.55 GHz and TE 120 /TE 210 modes at 7.20 GHz.The mode frequencies of the proposed substrate-integrated square cavity are determined as 1 : where m = 1, 2,…, n = 1, 2,…, and ε = ε 0 ε r , µ = µ 0 µ r are the permittivity and permeability of the substrate.The effective width W SISC eff and length L SISC  The diameter d 1 and center-to center distance d 2 of the metallic vias are chosen using the relationship as d 1 /λ ≤ 0.1 and d 1 /d 2 ≥ 2, in order to avoid energy leakage from the cavity 1 .Next, an X-shaped slot is engraved on the top plane to generate four distinct quarter-mode cavity resonators (QMCR) for radiation at four different operating frequencies.The spacing between the operating frequencies is depends on the dimensions of the quarter-mode cavity resonators.Therefore, we can obtain suitable operating frequencies based on our requirement using the dimensions of QMCR. Figure 3 shows the electric field distributions of TE 110 and TE 120 /TE 210 modes of the square cavity, which is obtained by employing the eigenmode solver.It is found that the maximum field strength for TE 110 mode is concentrated at the center of the square cavity, whereas the maximum field strength for TE 120 /TE 210 modes is found near the sides of the cavity.Subsequently, a quad-port resonator is developed by attaching four 50Ω feed lines to the four sides of the square cavity.The reflection and transmission coefficients at each port of the quad-port resonator are depicted in Figs.4a and 5a, respectively.Referring to Fig. 4a, small dips in reflection coefficients are observed at 4.46 GHz and 7.08 GHz with very poor matching.As seen in Fig. 5a, the resonator exhibits a reasonable isolation between the ports since the ports are placed in orthogonal to each other.Next, an X-shaped slot is carved on the top plane of the square cavity which creates four distinct quarter-mode cavity resonators (QMCR) associated with each port.As a result, the QMCRs generate four different radiating frequencies.The reflection and transmission coefficients at each port are shown in Figs.4b and 5b, respectively.It can be observed that at four distinct frequencies, four corresponding reflection coefficients are produced for the respective ports.Each port exhibits isolation better than 37 dB as depicted in Fig. 5c.As a result, Antenna-1 is capable of operating at four frequencies with inherent self-quadruplexing capabilities.Referring to Fig. 4b, the reflection coefficient level is high due to the impedance mismatch between the resonators and the feed lines.Therefore, Antenna-2 is developed by inserting inline feeding at each port to improve impedance matching.The S-parameters of the Antenna-2 are depicted in Fig. 4c.It can be seen that the reflection coefficients at each port are better than − 25 dB.The isolation of Antenna-2 is decreased to 33.2 dB due to the existence of a small crosscoupling path between the ports.Finally, Antenna-3 is realized by creating two fluidic channels at each QMCR to enable frequency tunability.The fluidic channels are filled with various dielectric liquids to obtain frequency tunability.For example, as Figs.4d and 5d illustrate, the S-parameters are obtained when the fluidic channels are filled with distilled water.It can be observed that the operating frequencies are shifted to lower values since distilled water has a high relative permittivity.

Operating principle
Initially, a SIW square cavity with the dimension of 0.65λ g × 0.65λ g is realized to operate in the TE 110 mode at 4.56 GHz and TE 120 /TE 210 modes at 7.21 GHz.Then an X-shaped slot is engraved on the top plane to generate four distinct quarter-mode cavity resonators (QMCR).Referring to Fig. 1, the triangular-shaped QMCRs are defined as AOB′, AOB, BOA′, and B′OA′ resonators.Each resonator is stimulated by using an independent 50Ω feed line to enable radiation at a designated frequency.As a result, four radiating frequencies are obtained based on the four QMCRs.Figure 6 depicts the results of using an eigenmode solution to calculate surface current densities for the purpose of better comprehending the radiation mechanism.To determine these surface current densities, an excitation signal is applied to one port, whereas the remaining ports are terminated with 50Ω loads.As seen in Fig. 6, one port experiences the largest current flow, while the current flow through the remaining ports is negligible.It is evident from Fig. 6a that when Port 1 is stimulated, the AOB′ resonator radiates at 4.5 GHz for the application to 5G fixed wireless access (FWA).When Port 2 is activated, as shown in Fig. 6b, the AOB resonator (2) www.nature.com/scientificreports/radiates at 5.35 GHz for public safety band (PSB) applications.As seen in Fig. 6c, the BOA′ resonator radiates at 5.97 GHz for wireless local area network (WLAN) application when excitation is applied at Port 3. Similarly, the B′OA′ resonator operates at 6.75 GHz for INSAT or extended C-band applications when Port 4 is activated, as shown in Fig. 6d.Thus, the proposed antenna generates the self-quadruplexing capability as well as quad-band operation.To ensure good radiation features, the inline feed technique is used to establish impedance matching between the QMCRs and the feeding lines.Each port has an isolation level of at least 32.3 dB because of the orthogonal port arrangement and the X-shaped slot, which create a very weak cross-coupling path between the ports.Finally, a completely mechanical passive tuning technique utilizing fluidic channels is applied to tune a single frequency separately or the entire working frequency at once.To enable frequency adjustment, high relative permittivity liquids are poured into the fluidic channels.

Circuit model analysis
To further understand the working concept of the proposed antenna, an equivalent circuit model has been assembled and shown in Fig. 7.Each QMCR resonator is modelled as a parallel RLC (R i , L i , and C i ) network.The position of the feed lines associated with the QMCRs is responsible for the resistance R i , here i = 1, 2, 3, and 4, stands for ports 1, 2, 3, and 4, respectively.The length and width of the QMCRs are expressed by the equivalent capacitance C i and inductance L i .The length and the width of the X-shaped slot are responsible for loading of an extra capacitance to each QMCR, which is modeled by the capacitance C a-d .The dimensions of the inline feeding associated with each port are responsible for the impedance matching between the QMCRs and the ports, which are modeled by the impedance transformers T i .The gap between the QMCR resonators is responsible for the mutual couplings (M 12 , M 13 , M 14 , M 23 , M 24 , and M 34 ).The couplings are represented by series inductance L p and capacitance C p .The resonant frequencies and input impedances associated with each QMCR resonators are calculated as 23,25 : (3) www.nature.com/scientificreports/Equation (3) shows that the excess capacitance C a-d and inductance L i have an impact on the resonating frequency.The extra capacitances are affected by the dimension of the X-shaped slot.Therefore, the resonant frequency can be altered by adjusting the slot size.Furthermore, as the inductance Li depends on the QMCRs' dimensions, any change in those dimensions will result in a frequency shift.Keysight Advanced System Design is used to validate the circuit model, and the results are compared to the EM simulation as shown in Fig. 8. Table 1 displays the values of the circuit model components.

Frequency tunability
Frequency reconfigurability is achieved by applying a microfluidic channel-based fully mechanical passive tunable method.Depending on the needs, the resonant frequencies can be tuned concurrently or individually.To facilitate tunability, two fluidic cylindrical channels are carved within the bottom plane of each QMCR resonator.The diameter and height of each cylindrical via are 1.6 mm and 0.562 mm, respectively.To protect the radiating apertures, the height of the channels is smaller than the substrate height.The fluidic channels are filled with ethyl acetate (ε r = 6.02), acetone (ε r = 20.2), and distilled water (ε r = 78.4) to enable frequency tunability.The loading of dielectric liquids altered the total relative permittivity of the substrate, resulting a shift in the resonant frequency.Two options are investigated for tunability.In the first case, just one fluidic channel is filled with dielectric liquids.In the second case, two fluidic channels are filled with the liquids.
Figure 9 demonstrates the individual operating frequency tunability when two fluidic channels are filled with dielectric liquids.As shown in Fig. 9a, the first resonant frequency associated with Port 1 can be altered from 4.22 GHz to 4.57 GHz (a tuning range of 8.29% or 330 MHz).The percentage change in the operating frequency at each port is calculated by following ( 5):      where, FTR i represents the frequency tuning range in percentage, f i max and f i min represent the maximum and minimum frequencies changes when a port is excited and the channels are filled with the air and distilled water, respectively, here i = 1, 2, 3 and 4 stands for the port indices.It can be seen from Fig. 9b that the second operating frequency provides a 500 MHz or 10.3% tuning range (from 4.85 to 5.35 GHz).As seen in Fig. 9c, the third operational frequency associated with Port 3 may be varied between 5.44 and 6.05 GHz (a tuning range of 610 MHz or 11.21%).Finally, Fig. 9d demonstrates that the tuning range of 14.1% or 840 MHz (from 5.99 to 6.83 GHz) is possible with the fourth resonating frequency, which corresponds to Port 4. Table 2 shows the tunability of individual operating frequencies considering both scenarios.The green-colored circles in Table 2 indicate the fluidic channel filled with dielectric liquids, while the blue-colored circle indicates the fluidic channel filled with an AD250 substrate.However, the volume and relative permittivity of various dielectric liquids may be used to adjust the tuning range of the operating frequencies.

Effect of positions of fluidic channels
The locations of the microfluidic channels are important for this antenna realization.It is observed that the distances d x1 , d x2 , d y1 , and d y2 from the center O to the channels affect the antenna performances whereas the center-to-center distance d 4 between the channels has no significant effect on the antenna performances.In order to explain this, we have carried out parametric analysis using the parameters d x1 , d y2 , and d 4 .Figures 10 and 11 represent the effect of positions of the channels on the antenna parameters (operating frequency, isolation, efficiency, and realized gain) associated with Ports 1 and 4, respectively.Referring to Fig. 10, the tuning range can be extended further as the operating frequency decreases by decreasing the d x1 but the antenna parameters such as isolation, efficiency, and realized gain also decrease.Therefore, the d x1 is chosen as 8 mm to achieve highest possible isolation associated at Port 1 with reasonable tuning range, efficiency, and realized gain.Similarly, as seen in Fig. 11, when the d y2 decreases the operating frequency decreases which will increase the tuning range but isolation and efficiency will also decrease.Hence the d y2 is chosen as 10.5 mm to achieve reasonable tuning range and antenna performances.

Design guideline
Based on the above studies, a simple design approach can be formulated for realization of a frequency reconfigurable self-quadruplexing antenna. Step-1: Design a SIW square cavity of dimension of 0.645λ g × 0.645λ g for operation in TE 110 mode at 4.55 GHz and TE 210 /TE 120 modes at 7.2 GHz.

Step-2:
Realize Antenna-1 by employing four 50Ω feed lines to four sides of the square cavity.

Step-3:
Produce four unequal quarter-mode cavity resonators with dimensions of 0.245λ g , 0.219λ g , 0.202λ g , and 0.21λ g by inserting an X-shaped slot on the top plane of the cavity.

Step-5:
Optimize the dimensions of inline feedings to achieve a good impedance matching between feed lines and QMCR resonators.

Step-6:
Create two fluidic channels corresponding to each QMCR resonator with a diameter of 1.6 mm and height of 0.562 mm to enable frequency tunability to each band independently or simultaneously based on the specific requirements.

Step-7:
To achieve reasonable tuning range and antenna performances, fix the locations of the fluidic channels at the distances of d x1 = 8 mm, d y1 = 10 mm, d x2 = 9 mm, and d y2 = 10.5 mm from center of the cavity associated with ports 1, 2, 3, and 4, respectively.

Step-8:
Select d 4 = 3 mm for easy fabrication, liquid filling, covering with copper tape, and measurements.

Step-9:
Fill the fluidic channels with different dielectric liquids such as ethyl acetate, acetone, and distilled water to obtain resonant frequencies corresponding to various wireless standards/applications.Step-10: Validate the tunable antenna through the EM simulation, prototyping, and measurements. (5) Table 2. Tunability of resonating frequency of the proposed antenna.

Fabrication and measurement
For experimental verification, a microfluidically frequency reconfigurable self-quadruplexing antenna has been fabricated using Rogers AD250 PCB substrate (thickness of 0.762 mm, dielectric constant ε r = 2.5, loss tangent tanδ = 0.0014).The fabricated tunable antenna has a footprint area of 0.37λ g , here λ g is the guided wavelength at first resonating frequency.To facilitate tunability, two fluidic cylindrical channels are drilled from the bottom plane of each QMCR resonator without removing the metallization layer at the top plane and 0.2 mm dielectric substrate was left at the top to protect the radiating aperture.The diameter d 3 and height h f of each cylindrical channel are 1.6 mm and 0.562 mm, respectively.The front and back views of the prototype are shown in Fig. 12a and b, respectively.As seen in Fig. 12c, a single-channel volume controlled pipette is employed for injecting the fluid into the channels with the required amount of volume.After the respective channels are filled, the copper tape is place over the channels to restore the ground plane of the resonator as shown in Fig. 12b.Similarly, the retraction of the fluid is done by the pipette which has an air cushion used to create a vacuum and draw fluid into its chamber.Hence, different dielectric liquids can be employed to obtain the required operating frequencies.Figure 13 displays the measurement setup used for the fabricated tunable antenna.The S-parameters are measured using a Rodhe and Schwarz vector network analyzer as shown in Fig. 13a.The farfield features and radiation patterns have been measured using a fully automated anechoic chamber as depicted in Fig. 13b.The measurements are conducted with one port being activated and terminating the remaining ports with 50Ω loads.In order to experimentally demonstrate the frequency reconfigurability, distilled water and air are poured into the fluidic channels.www.nature.com/scientificreports/than 33.45 dB. Figure 15 demonstrates the S-parameters of the proposed tunable antenna with air-filled fluidic channels.This tunable antenna has measured passbands of 4.57 GHz, 5.35 GHz, 6.06 GHz, and 6.84 GHz.As seen in Fig. 15a, the reflection coefficients lower than − 19.21 dB are found in both EM simulations and measurements.From Fig. 15b and c, the measured and EM-simulated isolations are larger than 32.31 dB.Similarly, the measured and EM-simulated S-parameters of the prototype with distilled water-filled fluidic channels are illustrated in Fig. 16.This antenna radiates at 4.22 GHz, 4.85 GHz, 5.45 GHz, and 5.98 GHz.From Fig. 16a, it can be seen that the measured and EM-simulated reflection coefficients are below -18,84 dB at all frequency bands.Referring to Fig. 16b and c, the isolation of the tunable antenna with distilled water-filled fluidic channels are larger than 32.36 dB across all the frequency bands.The first, second, third, and fourth operating bands may be tuned to 350 MHz (8.3%), 510 MHz (10.5%), 610 MHz (11.2%), and 860 MHz (14.38%) overall using the proposed tunable self-quadruplexing antenna.

Radiation patterns
The EM-simulated and measured radiation patterns of the tunable antenna prototype with air-and distilled water-filled fluidic channels are drawn in Figs. 17 and 18, respectively.For air-filled fluidic channels, the radiation patterns for excitation at Port 1 or 2 or 3 or 4 are illustrated in Fig. 17a-d, respectively.A good agreement is observed between the measured and EM-simulated results at all frequency bands.The radiation patterns are measured at E-plane (ϕ = 0°) and H-plane (ϕ = 90°) for different port excitation.Both measured and EM-simulated radiation patterns are stable and unidirectional in the E-and H-planes at all frequency bands.It can be seen that the EM-simulated cross-polarization level is less than − 22.32 dB, whereas the measured cross-polarization level is less than − 22.01 dB at all frequency bands.The measured and EM-simulated front-to-back ratio (FTBR) is better than 15.80 dB at all operating bands.Figure 18a-d show radiation patterns for excitation at Port 1 or 2 or 3 or 4 in distilled water-filled fluidic channels.As seen in Fig. 18, the measured cross-polarization level and FTBR are better than − 20.16 dB and 15.02 dB, respectively.

Conclusion
In this article, a novel microfluidically frequency reconfigurable self-quadruplexing antenna has been developed and demonstrated.The proposed antenna has been implemented using a substrate-integrated waveguide square cavity, four 50Ω feed lines, an X-shaped slot, and fluidic channels.Four quarter-mode cavity resonators have been created by engraving the X-shaped slot on the top plane of the cavity to produce four resonating frequency bands.The inline feeding technique has been employed in order to obtain good impedance matching between the feed lines and the resonators.Each quarter-mode cavity resonator has two fluidic channels that allow for frequency reconfigurability.Different dielectric liquids with high relative permittivity may be used to adjust the resonating frequencies independently or concurrently.Multiple scenarios are possible with fluidic channels, providing flexibility in frequency tunability according to the system requirements.The tunability has been investigated by filling the fluidic channels with air, ethyl acetate, acetone, and distilled water.A simple design approach has been provided for the realization of the antenna.Furthermore, an equivalent circuit has been generated to verify the operating principles of the proposed antenna.Finally, a microfluidically frequency-tunable self-quadruplexing antenna has been manufactured and tested.For experimental demonstration, the fluidic channels are filled with air or distilled water.For the first, second, third, and fourth operating bands, the antenna shows frequency tuning ranges of 350 MHz (8.3%), 500 MHz (10.3%), 610 MHz (11.2%), and 845 MHz (14.1%), respectively.The SQA prototype offers minimum isolation and realized gain ranges from 32.31 to 36.56 dB, and from 4.05 to 5.05 dBi, respectively.Consequently, the proposed frequency tunable self-quadruplexing antenna is the first in its category suitable for several communication systems.Since, this is a fully passive frequency tuning method, an auto-fill technique of dielectric liquids can be explored for the realization for frequency tuning self-quadruplexing antennas.

Figure 2 .
Figure 2. A simple step-by-step development of tunable antenna design.

Figure 7 .
Figure 7. Equivalent circuit model of the proposed antenna.

Figure 8 .
Figure 8. Circuit and EM simulation reflection coefficients.

Figure 14 Figure 10 .
Figure 14 illustrates the reflection and transmission coefficients of the proposed antenna without fluidic channels (i.e., channels filled with AD250 material).According to Fig. 14a, the measured reflection coefficients at 4.50 GHz, 5.33 GHz, 5.97 GHz, and 6.75 GHz are − 25.4 dB, − 25.37 dB, − 25.48 dB, and − 21.57dB, respectively, whereas the EM-simulated reflection coefficients are − 20.12 dB, − 20.21 dB, − 20.23 dB, and − 19.32 dB.Referring to Fig. 14b and c, the measured isolations are greater than 33.23 dB whereas, the EM simulated isolations are better

Figures 19 and 20
Figures 19 and 20 show the realized gain of the proposed tunable antenna with air-and distilled water-filled fluidic channels, respectively.The EM simulations and the measured realized gains are in good agreement.Minor variations can be attributed to dielectric loss, manufacturing imperfections, connector soldering, and

Figure 11 .Figure 12 .
Figure 11.Antenna parameters at Port 4 with distilled water-filled fluidic channels as a function of d y2 : (a) Operating frequency at Port 4, (b) isolation, (c) efficiency, and (d) realized gain.

Figure 13 .
Figure 13.Measurement setup for the proposed tunable antenna prototype: (a) S-parameters, and (b) radiation performance.

Figure 15 .
Figure 15.S-parameters of the tunable antenna prototype with air-filled fluidic channels: (a) EM-simulated and measured reflection coefficients, (b) EM-simulated isolation, (c) measured isolation.

Table 1 .
Component values of the circuit model.