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International Journal of Electrical and Computer Engineering (IJECE)
Vol. 13, No. 3, June 2023, pp. 2600∼2607
ISSN: 2088-8708, DOI: 10.11591/ijece.v13i3.pp2600-2607 ❒ 2600
Two-section branch-line hybrid couplers based broadband
transmit/receive switch
Ashraf Abuelhaija1
, Gameel Saleh2
1Department of Electrical Engineering, Applied Science Private University, Amman, Jordan
2Department of Biomedical Engineering, College of Engineering, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
Article Info
Article history:
Received Jun 1, 2022
Revised Sep 7, 2022
Accepted Oct 1, 2022
Keywords:
Harmonic frequency
Hybrid coupler
Insertion loss
Magnetic resonance imaging
Transmit/receive switch
ABSTRACT
This article introduces a broadband microstripline-based transmit/receive switch
for 7-Tesla magnetic resonance imaging. The designed switch aims to handle a
signal of multiple frequencies to/from a multi-tuned radio-frequency coil that
resonates at frequencies corresponding to the speed of precession of a wide
range of atomic X-nuclei, at the same time and without tuning. These include
1H, 23Na, 13C, 31P, 19F, and 7Li used in magnetic resonance spectroscopy as a
measure to the existence of many diseases. The fundamental and third harmonic
center frequencies of the switch are adjusted to resonate at two broadbands cov-
ering a wide range of atomic X-nuclei. Two section branch-line hybrid couplers
with phase inverters are designed to build the broadband switch. The designed
switch used the minimum trace widths of transmission lines that reveal a com-
pact size without increasing the heat and then the loss beyond specific values.
The couplers and the switch S-parameters exhibited good return loss (<-10 dB),
high isolation (<-40 dB), less insertion loss (<1 dB) and two clear wide bands
covering many atomic X-nuclei used in diagnosis, at the same time and without
the need for any tuning circuit during operation.
This is an open access article under the CC BY-SA license.
Corresponding Author:
Ashraf Abuelhaija
Department of Electrical Engineering, Applied Science Private University
Amman, Jordan
Email: a abualhijaa@asu.edu.jo
1. INTRODUCTION
Transmit/receive (T/R) switches in magnetic resonance imaging (MRI) are essential elements when
T/R radio frequency (RF) coils are used. They are located between the RF amplifier and the RF coils. The long
cables between the power amplifier and the coil as well as the T/R switches add loss to the RF transmitting
chain of magnetic for MRI scanner, and thus effect on the power delivered to the transmit coil and increase
the noises. The cable loss is reduced by designing power amplifiers of nonmagnetic components near to the
magnet bore [1]. Another approach is to design T/R switches that satisfy low insertion loss, high isolation, and
good return loss. For single resonant frequency coils, such as 1H protons RF coils, the same single resonance
signal must be handled by the switch to the RF coil during transmit and from the coil to the receiver during
receive. Similarly, dual and multi resonance T/R RF coils need dual and multi tuned T/R switches, respectively.
Magnetic resonance imaging and spectroscopy (MRI/MRS) can provide images with anatomical and
metabolic information of the human [2]–[5]. Several studies have shown that non-proton (X-) nuclear imaging
can provide valuable information from tissues [6], [7]. For example, 23Na imaging can examine multiple
sclerosis and tumors [8], [9]. 31P imaging has been used for assessing healthy human brain, examine breast
Journal homepage: http://ijece.iaescore.com
Int J Elec & Comp Eng ISSN: 2088-8708 ❒ 2601
cancer and providing complementary information on the biology of prostate cancer [10]–[12]. In this context,
several dual-nuclear RF coils have been developed for ultra-high field MRI. In [13], multi-channel 1H/31P RF
coil for 7T MRI has been presented. The coil has been designed using a four-channel dipole array for 1H
imaging and a four-channel loop array for 31P imaging. In [14], a 1H/23Na RF coil has been presented. This
coil is designed using monopole , for 1H imaging, crossing the center of the loop coil, which is used for 23Na
imaging.
In the literature, various types of switches have been designed. PIN diodes-based T/R switches are
introduced to satisfy high reliability, power handling, linearity [15]–[18]. The switching time from transmit to
receive was revealed within 0.4 µs and from receive to transmit reached within 2 µs [16]. Transistors-based
T/R switches are introduced in [19], [20]. The enhanced mode eGaN FETs in [16] showed an advantage over
PIN diodes in B0 and B1 homogeneity and the amount of biased power to work, but it revealed less image SNR.
Micro electromechanical system (MEMS) based switches [21], [22] were designed and compared to topologies
based on PIN diodes and they showed higher isolation, and lower DC switching voltage. These switches have
not been broadly used in MRI applications.
A novel microstripline (MSL) based T/R switches, for 1H protons 7-Tesla MRI, have been designed
and introduced in [23]. In that work, we introduced two switches of unsymmetrical and symmetrical hybrid
couplers topologies and compared their results with a third commercial coupler switch from the market. The
measurements showed that the MSL-based switches are better in terms of heat dissipation, handling higher
power, and have less insertion loss. We introduced new MSL-based T/R switches with different topologies and
realistic trace widths to handle the RF pulses to/from 1H RF coils working at 298 MHz, the operating frequency
at 7-Tesla MRI [24]. The introduced switch achieves a compact design with minimum dimensions and without
increasing the temperature 20 degree Celsius beyond the ambient temperature. Dual tuned MSL-based T/R
switches have also been introduced to work properly with dual resonance RF coils to interrogate different X-
nuclei [25]. Our proposed and introduced microstripline-based switches can handle the RF pulses, with very
low insertion loss, as well as good return loss and isolation, to/from single and dual tuned RF coils.
In this article, a new broadband MSL-based T/R switch is designed to handle RF pulses of multiple
resonances to/from multi-tuned RF coils, at the same time and without tuning. These resonances are falling
within two broadbands where the speed of various X-nuclei (such as 1H, 23Na, 13C, 31P, 7Li, 19F) exist. The
targeted atomic X-nuclei are used in magnetic resonance spectroscopy (MRS) as a measure to the existence
of many diseases. The objective of this work is to achieve this broadband design, reduce the insertion loss,
minimize the size while keeping the realistic design constraints of trace widths and its allowable maximum
acceptable temperature.
2. METHODS AND MATERIALS
The two-section branch-line broadband hybrid coupler has been originally presented in [26]. It con-
sists of three vertical transmission lines (a,c,a) and four horizontal transmission lines (b,b,b,b) as shown in
Figure 1. An inverter (180◦
phase shifter) has been inserted at the middle vertical transmission line to enhance
the bandwidth. The length for all the transmission lines is the same and equal to quarter wavelength.
Port 1
( )
Input
Port 2
( )
Through
Port 3
( )
Isolated
Port 4
( )
Coupled
180
o
Phase
Inverter
Zb Zb
Zb Zb
Za Za
Zc
a a
b b
b
b
c
Figure 1. Schematic diagram of the two-section branch-line hybrid coupler
Two-section branch-line hybrid couplers based broadband transmit/receive switch (Ashraf Abuelhaija)
2602 ❒ ISSN: 2088-8708
The scattering matrix of this hybrid coupler has been derived in [27], and can be presented as (1):




S11 S12 S13 S14
S21 S22 S23 S24
S31 S32 S33 S34
S41 S42 S43 S44



 =





0 −
p
( k
k+1 ) 0 −j
p
( 1
k+1 )
−
p
( k
k+1 ) 0 −j
p
( 1
k+1 ) 0
0 −j
p
( 1
k+1 ) 0 −
p
( k
k+1 )
−j
p
( 1
k+1 ) 0 −
p
( k
k+1 ) 0





(1)
where “k” is the ratio of the signal power at the through port to the signal power at the coupled port, and can
be expressed as (2):
k =
S21
S41
2
=
Z2
o Z2
c
Z2
b
(2)
where Zc and Zb are the characteristic impedances for transmission lines “c” and “b”, respectively. To calculate
these impedances together with the characteristic impedances for the transmission line “a” (Za), we can use
(3) and (4):
Za = (
√
k +
√
k + 1)Zo (3)
Zc =
√
kZ2
b
Zo
(4)
In order to obtain the quadrature hybrid coupler with -3 dB output ports, the ratio “k” should be equal to 1.
In this case, the input RF signal is inserted into port 1. Port 2 (through) and port 4 (coupled) are the -3 dB
quadrature outputs. Port 3 is the isolated port. Now, if we assume Zb=Zo, then Zc will be equal to Zo from
(4), and Za will be equal to 2.414 Zo from (3). This hybrid coupler has been designed on Rogers substrate RO
4,725 with relative permittivity 2 55 and thickness of 1.542 mm using ADS software, as shown in Figure 2.
The dimensions of the final design are 400×180 mm.
Port 1 Port 2
Port 4 Port 3
400 mm
180
mm
a
b
Inverter a
b b
b
c
Figure 2. Layout of the two-section branch-line hybrid coupler
In order to build-up the broadband T/R switch using the two-section branch-line hybrid couplers, the
connections shown in Figure 3 have been applied. If we imagine a virtual line between the two couplers acting
as a mirror, then the two hybrid couplers are connected to each other at two ports: the through ports and the
coupled ports. At transmit, the two PIN diodes which are connected at through and coupled ports of the first
coupler (left), are forward biased. In this case, all the input signals will be delivered to the RF coil at port 2.
At receiving, both PIN diodes are reverse biased and the detected RF signal from the RF coil at port 2 will be
delivered to port 4.
Int J Elec & Comp Eng, Vol. 13, No. 3, June 2023: 2600-2607
Int J Elec & Comp Eng ISSN: 2088-8708 ❒ 2603
Port 1
(Pulsed RF
signal power input)
Port 2
(RF coil
Connection )
Port 3
(50 W
terminator)
Port 4
(pre-amplifier
Output)
PIN
Diode
PIN
Diode
Figure 3. Two-section branch-line hybrid couplers based broadband T/R switch
Two short coaxial cables are used to operate as inverters at the middle transmission line of each
coupler. A 180◦
phase shift can be achieved using coaxial cable once the straight connection is replaced by a
crossover connection as shown in Figure 4. The first coaxial cable is inserted between ports 9 and 10 whereas
the second coaxial cable is inserted between ports 11 and 12.
Figure 4. The broadband T/R switch in CST showing the connections of ports and the two inverters (cross
connected coaxial cables)
3. RESULTS AND DISCUSSION
The designed two-section branch-line hybrid couplers as shown in Figure 2 characterized by two
broadbands appear at the fundamental frequency and the third odd harmonics, as shown in Figure 5. This
Figure demonstrates good return loss and isolation. The bandwidths of the first and second broadband were
Two-section branch-line hybrid couplers based broadband transmit/receive switch (Ashraf Abuelhaija)
2604 ❒ ISSN: 2088-8708
falling in the ranges 75-135 MHz and 293-334 MHz. These broad bandwidths have been specified based on the
definition of the coupling imbalance between the two output ports (through and coupled) that must be better
than 0.86 dB (3.0 ± 0.43 dB) [28].
0 50 100 150 200 250 300 350 400
Frequency (MHz)
-50
-40
-30
-20
-10
0
S-Parameters
(dB)
S11
S21
S31
S41
Figure 5. S-parameters for the two-section branch-line hybrid couplers
To evaluate the performance of the proposed two-section branch-line hybrid couplers based broadband
T/R switch, S-parameters have been obtained from CST. At transmit, good matching (S11 -10 dB) and
low insertion loss (S21 -1dB) have been obtained at all atomic nuclei resonance frequencies, as shown in
Figure 6 and Table 1. In addition, high isolation (S41 -40 dB) between transmitter and receiver can be
obtained.
0 50 100 150 200 250 300 350 400
Frequency (MHz)
-80
-60
-40
-20
0
S-Parameters
(dB)
S11
S21
S31
S41
Figure 6. S-parameters at transmit phase for two-section branch-line hybrid couplers based broadband T/R
switch
Table 1. S-parameters for two-section branch-line hybrid couplers based broadband
T/R switch at transmit phase
Atomic Nuclei Frequency (MHz) S11 (dB) S21 (dB) S41(dB)
13C 75.0 -23.2 -0.25 -50
23Na 78.8 -28.7 -0.26 -48
7Li 115.8 -22.6 -0.38 -45
31P 120.6 -32.1 -0.35 -44
19F 280.4 -11.2 -0.92 -42
1H 298.0 -13.0 -0.74 -42
Int J Elec  Comp Eng, Vol. 13, No. 3, June 2023: 2600-2607
Int J Elec  Comp Eng ISSN: 2088-8708 ❒ 2605
At receiving, good matching (S22 -13 dB) and low insertion loss (S21 -0.9 dB) have been obtained
at all atomic nuclei resonance frequencies, as shown in Figure 7 and Table 2. It is worth to mentioning that the
first operating band of the T/R switch is extended from 66.2-147.3 MHz. Whereas the second operating band
is extended from 279.6-352.2 MHz. Within these two bands, an insertion loss is lower than 1 dB and the return
loss is at least 10 dB can be obtained at both transmit and receive modes.
0 50 100 150 200 250 300 350 400
Frequency (MHz)
-80
-60
-40
-20
0
S-Parameters
(dB)
S22
S42
Figure 7. S-parameters at receive for two-section branch-line hybrid couplers based broadband T/R switch
Table 2. S-parameters for two-section branch-line hybrid couplers based broadband
T/R switch at receive phase
Atomic Nuclei Frequency (MHz) S22 (dB) S24 (dB)
13C 75.0 -33.6 -0.15
23Na 78.8 -37.1 -0.12
7Li 115.8 -14.1 -0.37
31P 120.6 -17.8 -0.26
19F 280.4 -30.0 -0.83
1H 298.0 -13.6 -0.61
4. CONCLUSION
In this work, a transmit/receive switch is designed to handle a broadband signal of operating frequen-
cies to/from multi-tuned radio-frequency coil working at 7-Tesla MRI. The two-section branch-line method is
used from transmission line theory to design two stacked microstripline-based hybrid couplers of two broad-
band signals covering many atomic X-nuclei. The couplers and then the switch have been designed using ADS
and MW-CST. The broadband couplers have been designed with an excellent coupling imbalance between
the two output ports, (3.0 ± 0.43 dB), that satisfies bandwidth of 75–135 MHz and 293-334 MHz. The pro-
posed broadband T/R switch achieved good matching (S11 -10 dB) and low insertion loss (S21-1 dB) at
transmit, and high isolation (S41-40 dB) between transmitter and receiver. At receiving, the switch revealed
good matching (S22 -13 dB) and low insertion loss (S21 -0.9 dB). These values have achieved at two wide
broadbands of operating frequencies (from 66.2 to 147.3 MHz and from 279.6 to 352.2 MHz.) covering many
atomic X-nuclei including the 32Na, 31P, 13C, 19F, 7Li and others as well as the 1H. These bandwidths have
been calculated based on achieving an insertion loss less than 1 dB and a return loss better than 10 dB. Our
broadband switch can work with any single or multi-tuned RF coil that resonates at frequency inside the two
broadbands of the switch. One can change the coil without changing the switch. A dual tuned 1H/X-Nuclei
or multi-tuned RF coil can be used with the same switch without any type of tuning. The introduced switch is
a promising economical solution and can be used to minimize the needed space of T/R switches when multi-
channel multi-tuned RF coils become widely available.
Two-section branch-line hybrid couplers based broadband transmit/receive switch (Ashraf Abuelhaija)
2606 ❒ ISSN: 2088-8708
ACKNOWLEDGEMENT
This work has been done at the Department of Electrical Engineering, Faculty of Engineering and
Technology at the Applied Science Private University, Amman, Jordan. The authors would like to thank the
university for their strong support to this work.
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BIOGRAPHIES OF AUTHORS
Ashraf Abuelhaija is an Associate Professor in the Department of Electrical Engineering
at Applied Science Private University, Amman, Jordan, where he received his BSc in communica-
tions and Electronics Engineering in 2007. He received his Master degree and Ph.D. in electrical
engineering from Duisburg-Essen University in 2010 and 2016, respectively. His research interests
are in the area of Antennas and RF technology. From 2012 to 2014, he works as research assistant at
Erwin L. Hahn Institute for Magnetic Resonance Imaging, Essen, and from 2014 to 2016 as research
assistant at the department of Microwave and RF technology at Duisburg-Essen University. He can
be contacted at email: a abualhijaa@asu.edu.jo.
Gameel Saleh was born in Aden, Yemen. He received the B.Sc. degree in Electrical Engi-
neering from Aden University, Aden, Yemen, in 2001, the M.S. degree in Electrical Engineering from
Jordan University of Science and Technology, Irbid, Jordan, in 2008, and the Dr.-Ing (Ph.D.) degree
in Electrical Engineering from the Duisburg–Essen University, Duisburg, Germany, in December
2013. From 2014 to 2015, he worked at Aden University, Communication Engineering Department.
From 2015 he is working as an associate professor with department of biomedical engineering at
Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia. His current research interests
include RF circuits, metamaterials, wearable antennas, and biosensors. Dr. Saleh was a recipient
of the German Academic Exchange Service Fellowships in 2006 and 2009. He can be contacted at
email: gsmohammed@iau.edu.sa.
Two-section branch-line hybrid couplers based broadband transmit/receive switch (Ashraf Abuelhaija)

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Two-section branch-line hybrid couplers based broadband transmit/receive switch

  • 1. International Journal of Electrical and Computer Engineering (IJECE) Vol. 13, No. 3, June 2023, pp. 2600∼2607 ISSN: 2088-8708, DOI: 10.11591/ijece.v13i3.pp2600-2607 ❒ 2600 Two-section branch-line hybrid couplers based broadband transmit/receive switch Ashraf Abuelhaija1 , Gameel Saleh2 1Department of Electrical Engineering, Applied Science Private University, Amman, Jordan 2Department of Biomedical Engineering, College of Engineering, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia Article Info Article history: Received Jun 1, 2022 Revised Sep 7, 2022 Accepted Oct 1, 2022 Keywords: Harmonic frequency Hybrid coupler Insertion loss Magnetic resonance imaging Transmit/receive switch ABSTRACT This article introduces a broadband microstripline-based transmit/receive switch for 7-Tesla magnetic resonance imaging. The designed switch aims to handle a signal of multiple frequencies to/from a multi-tuned radio-frequency coil that resonates at frequencies corresponding to the speed of precession of a wide range of atomic X-nuclei, at the same time and without tuning. These include 1H, 23Na, 13C, 31P, 19F, and 7Li used in magnetic resonance spectroscopy as a measure to the existence of many diseases. The fundamental and third harmonic center frequencies of the switch are adjusted to resonate at two broadbands cov- ering a wide range of atomic X-nuclei. Two section branch-line hybrid couplers with phase inverters are designed to build the broadband switch. The designed switch used the minimum trace widths of transmission lines that reveal a com- pact size without increasing the heat and then the loss beyond specific values. The couplers and the switch S-parameters exhibited good return loss (<-10 dB), high isolation (<-40 dB), less insertion loss (<1 dB) and two clear wide bands covering many atomic X-nuclei used in diagnosis, at the same time and without the need for any tuning circuit during operation. This is an open access article under the CC BY-SA license. Corresponding Author: Ashraf Abuelhaija Department of Electrical Engineering, Applied Science Private University Amman, Jordan Email: a abualhijaa@asu.edu.jo 1. INTRODUCTION Transmit/receive (T/R) switches in magnetic resonance imaging (MRI) are essential elements when T/R radio frequency (RF) coils are used. They are located between the RF amplifier and the RF coils. The long cables between the power amplifier and the coil as well as the T/R switches add loss to the RF transmitting chain of magnetic for MRI scanner, and thus effect on the power delivered to the transmit coil and increase the noises. The cable loss is reduced by designing power amplifiers of nonmagnetic components near to the magnet bore [1]. Another approach is to design T/R switches that satisfy low insertion loss, high isolation, and good return loss. For single resonant frequency coils, such as 1H protons RF coils, the same single resonance signal must be handled by the switch to the RF coil during transmit and from the coil to the receiver during receive. Similarly, dual and multi resonance T/R RF coils need dual and multi tuned T/R switches, respectively. Magnetic resonance imaging and spectroscopy (MRI/MRS) can provide images with anatomical and metabolic information of the human [2]–[5]. Several studies have shown that non-proton (X-) nuclear imaging can provide valuable information from tissues [6], [7]. For example, 23Na imaging can examine multiple sclerosis and tumors [8], [9]. 31P imaging has been used for assessing healthy human brain, examine breast Journal homepage: http://ijece.iaescore.com
  • 2. Int J Elec & Comp Eng ISSN: 2088-8708 ❒ 2601 cancer and providing complementary information on the biology of prostate cancer [10]–[12]. In this context, several dual-nuclear RF coils have been developed for ultra-high field MRI. In [13], multi-channel 1H/31P RF coil for 7T MRI has been presented. The coil has been designed using a four-channel dipole array for 1H imaging and a four-channel loop array for 31P imaging. In [14], a 1H/23Na RF coil has been presented. This coil is designed using monopole , for 1H imaging, crossing the center of the loop coil, which is used for 23Na imaging. In the literature, various types of switches have been designed. PIN diodes-based T/R switches are introduced to satisfy high reliability, power handling, linearity [15]–[18]. The switching time from transmit to receive was revealed within 0.4 µs and from receive to transmit reached within 2 µs [16]. Transistors-based T/R switches are introduced in [19], [20]. The enhanced mode eGaN FETs in [16] showed an advantage over PIN diodes in B0 and B1 homogeneity and the amount of biased power to work, but it revealed less image SNR. Micro electromechanical system (MEMS) based switches [21], [22] were designed and compared to topologies based on PIN diodes and they showed higher isolation, and lower DC switching voltage. These switches have not been broadly used in MRI applications. A novel microstripline (MSL) based T/R switches, for 1H protons 7-Tesla MRI, have been designed and introduced in [23]. In that work, we introduced two switches of unsymmetrical and symmetrical hybrid couplers topologies and compared their results with a third commercial coupler switch from the market. The measurements showed that the MSL-based switches are better in terms of heat dissipation, handling higher power, and have less insertion loss. We introduced new MSL-based T/R switches with different topologies and realistic trace widths to handle the RF pulses to/from 1H RF coils working at 298 MHz, the operating frequency at 7-Tesla MRI [24]. The introduced switch achieves a compact design with minimum dimensions and without increasing the temperature 20 degree Celsius beyond the ambient temperature. Dual tuned MSL-based T/R switches have also been introduced to work properly with dual resonance RF coils to interrogate different X- nuclei [25]. Our proposed and introduced microstripline-based switches can handle the RF pulses, with very low insertion loss, as well as good return loss and isolation, to/from single and dual tuned RF coils. In this article, a new broadband MSL-based T/R switch is designed to handle RF pulses of multiple resonances to/from multi-tuned RF coils, at the same time and without tuning. These resonances are falling within two broadbands where the speed of various X-nuclei (such as 1H, 23Na, 13C, 31P, 7Li, 19F) exist. The targeted atomic X-nuclei are used in magnetic resonance spectroscopy (MRS) as a measure to the existence of many diseases. The objective of this work is to achieve this broadband design, reduce the insertion loss, minimize the size while keeping the realistic design constraints of trace widths and its allowable maximum acceptable temperature. 2. METHODS AND MATERIALS The two-section branch-line broadband hybrid coupler has been originally presented in [26]. It con- sists of three vertical transmission lines (a,c,a) and four horizontal transmission lines (b,b,b,b) as shown in Figure 1. An inverter (180◦ phase shifter) has been inserted at the middle vertical transmission line to enhance the bandwidth. The length for all the transmission lines is the same and equal to quarter wavelength. Port 1 ( ) Input Port 2 ( ) Through Port 3 ( ) Isolated Port 4 ( ) Coupled 180 o Phase Inverter Zb Zb Zb Zb Za Za Zc a a b b b b c Figure 1. Schematic diagram of the two-section branch-line hybrid coupler Two-section branch-line hybrid couplers based broadband transmit/receive switch (Ashraf Abuelhaija)
  • 3. 2602 ❒ ISSN: 2088-8708 The scattering matrix of this hybrid coupler has been derived in [27], and can be presented as (1):     S11 S12 S13 S14 S21 S22 S23 S24 S31 S32 S33 S34 S41 S42 S43 S44     =      0 − p ( k k+1 ) 0 −j p ( 1 k+1 ) − p ( k k+1 ) 0 −j p ( 1 k+1 ) 0 0 −j p ( 1 k+1 ) 0 − p ( k k+1 ) −j p ( 1 k+1 ) 0 − p ( k k+1 ) 0      (1) where “k” is the ratio of the signal power at the through port to the signal power at the coupled port, and can be expressed as (2): k = S21 S41 2 = Z2 o Z2 c Z2 b (2) where Zc and Zb are the characteristic impedances for transmission lines “c” and “b”, respectively. To calculate these impedances together with the characteristic impedances for the transmission line “a” (Za), we can use (3) and (4): Za = ( √ k + √ k + 1)Zo (3) Zc = √ kZ2 b Zo (4) In order to obtain the quadrature hybrid coupler with -3 dB output ports, the ratio “k” should be equal to 1. In this case, the input RF signal is inserted into port 1. Port 2 (through) and port 4 (coupled) are the -3 dB quadrature outputs. Port 3 is the isolated port. Now, if we assume Zb=Zo, then Zc will be equal to Zo from (4), and Za will be equal to 2.414 Zo from (3). This hybrid coupler has been designed on Rogers substrate RO 4,725 with relative permittivity 2 55 and thickness of 1.542 mm using ADS software, as shown in Figure 2. The dimensions of the final design are 400×180 mm. Port 1 Port 2 Port 4 Port 3 400 mm 180 mm a b Inverter a b b b c Figure 2. Layout of the two-section branch-line hybrid coupler In order to build-up the broadband T/R switch using the two-section branch-line hybrid couplers, the connections shown in Figure 3 have been applied. If we imagine a virtual line between the two couplers acting as a mirror, then the two hybrid couplers are connected to each other at two ports: the through ports and the coupled ports. At transmit, the two PIN diodes which are connected at through and coupled ports of the first coupler (left), are forward biased. In this case, all the input signals will be delivered to the RF coil at port 2. At receiving, both PIN diodes are reverse biased and the detected RF signal from the RF coil at port 2 will be delivered to port 4. Int J Elec & Comp Eng, Vol. 13, No. 3, June 2023: 2600-2607
  • 4. Int J Elec & Comp Eng ISSN: 2088-8708 ❒ 2603 Port 1 (Pulsed RF signal power input) Port 2 (RF coil Connection ) Port 3 (50 W terminator) Port 4 (pre-amplifier Output) PIN Diode PIN Diode Figure 3. Two-section branch-line hybrid couplers based broadband T/R switch Two short coaxial cables are used to operate as inverters at the middle transmission line of each coupler. A 180◦ phase shift can be achieved using coaxial cable once the straight connection is replaced by a crossover connection as shown in Figure 4. The first coaxial cable is inserted between ports 9 and 10 whereas the second coaxial cable is inserted between ports 11 and 12. Figure 4. The broadband T/R switch in CST showing the connections of ports and the two inverters (cross connected coaxial cables) 3. RESULTS AND DISCUSSION The designed two-section branch-line hybrid couplers as shown in Figure 2 characterized by two broadbands appear at the fundamental frequency and the third odd harmonics, as shown in Figure 5. This Figure demonstrates good return loss and isolation. The bandwidths of the first and second broadband were Two-section branch-line hybrid couplers based broadband transmit/receive switch (Ashraf Abuelhaija)
  • 5. 2604 ❒ ISSN: 2088-8708 falling in the ranges 75-135 MHz and 293-334 MHz. These broad bandwidths have been specified based on the definition of the coupling imbalance between the two output ports (through and coupled) that must be better than 0.86 dB (3.0 ± 0.43 dB) [28]. 0 50 100 150 200 250 300 350 400 Frequency (MHz) -50 -40 -30 -20 -10 0 S-Parameters (dB) S11 S21 S31 S41 Figure 5. S-parameters for the two-section branch-line hybrid couplers To evaluate the performance of the proposed two-section branch-line hybrid couplers based broadband T/R switch, S-parameters have been obtained from CST. At transmit, good matching (S11 -10 dB) and low insertion loss (S21 -1dB) have been obtained at all atomic nuclei resonance frequencies, as shown in Figure 6 and Table 1. In addition, high isolation (S41 -40 dB) between transmitter and receiver can be obtained. 0 50 100 150 200 250 300 350 400 Frequency (MHz) -80 -60 -40 -20 0 S-Parameters (dB) S11 S21 S31 S41 Figure 6. S-parameters at transmit phase for two-section branch-line hybrid couplers based broadband T/R switch Table 1. S-parameters for two-section branch-line hybrid couplers based broadband T/R switch at transmit phase Atomic Nuclei Frequency (MHz) S11 (dB) S21 (dB) S41(dB) 13C 75.0 -23.2 -0.25 -50 23Na 78.8 -28.7 -0.26 -48 7Li 115.8 -22.6 -0.38 -45 31P 120.6 -32.1 -0.35 -44 19F 280.4 -11.2 -0.92 -42 1H 298.0 -13.0 -0.74 -42 Int J Elec Comp Eng, Vol. 13, No. 3, June 2023: 2600-2607
  • 6. Int J Elec Comp Eng ISSN: 2088-8708 ❒ 2605 At receiving, good matching (S22 -13 dB) and low insertion loss (S21 -0.9 dB) have been obtained at all atomic nuclei resonance frequencies, as shown in Figure 7 and Table 2. It is worth to mentioning that the first operating band of the T/R switch is extended from 66.2-147.3 MHz. Whereas the second operating band is extended from 279.6-352.2 MHz. Within these two bands, an insertion loss is lower than 1 dB and the return loss is at least 10 dB can be obtained at both transmit and receive modes. 0 50 100 150 200 250 300 350 400 Frequency (MHz) -80 -60 -40 -20 0 S-Parameters (dB) S22 S42 Figure 7. S-parameters at receive for two-section branch-line hybrid couplers based broadband T/R switch Table 2. S-parameters for two-section branch-line hybrid couplers based broadband T/R switch at receive phase Atomic Nuclei Frequency (MHz) S22 (dB) S24 (dB) 13C 75.0 -33.6 -0.15 23Na 78.8 -37.1 -0.12 7Li 115.8 -14.1 -0.37 31P 120.6 -17.8 -0.26 19F 280.4 -30.0 -0.83 1H 298.0 -13.6 -0.61 4. CONCLUSION In this work, a transmit/receive switch is designed to handle a broadband signal of operating frequen- cies to/from multi-tuned radio-frequency coil working at 7-Tesla MRI. The two-section branch-line method is used from transmission line theory to design two stacked microstripline-based hybrid couplers of two broad- band signals covering many atomic X-nuclei. The couplers and then the switch have been designed using ADS and MW-CST. The broadband couplers have been designed with an excellent coupling imbalance between the two output ports, (3.0 ± 0.43 dB), that satisfies bandwidth of 75–135 MHz and 293-334 MHz. The pro- posed broadband T/R switch achieved good matching (S11 -10 dB) and low insertion loss (S21-1 dB) at transmit, and high isolation (S41-40 dB) between transmitter and receiver. At receiving, the switch revealed good matching (S22 -13 dB) and low insertion loss (S21 -0.9 dB). These values have achieved at two wide broadbands of operating frequencies (from 66.2 to 147.3 MHz and from 279.6 to 352.2 MHz.) covering many atomic X-nuclei including the 32Na, 31P, 13C, 19F, 7Li and others as well as the 1H. These bandwidths have been calculated based on achieving an insertion loss less than 1 dB and a return loss better than 10 dB. Our broadband switch can work with any single or multi-tuned RF coil that resonates at frequency inside the two broadbands of the switch. One can change the coil without changing the switch. A dual tuned 1H/X-Nuclei or multi-tuned RF coil can be used with the same switch without any type of tuning. The introduced switch is a promising economical solution and can be used to minimize the needed space of T/R switches when multi- channel multi-tuned RF coils become widely available. Two-section branch-line hybrid couplers based broadband transmit/receive switch (Ashraf Abuelhaija)
  • 7. 2606 ❒ ISSN: 2088-8708 ACKNOWLEDGEMENT This work has been done at the Department of Electrical Engineering, Faculty of Engineering and Technology at the Applied Science Private University, Amman, Jordan. The authors would like to thank the university for their strong support to this work. REFERENCES [1] K. Solbach, A. Abuelhaija, and S. Shooshtray, “Near-magnet power amplifier with built-in coil current sensing,” in Proceedings of the International Society for Magnetic Resonance in Medicine, 2014, vol. 22. [2] B. L. Edlow et al., “7 Tesla MRI of the ex vivo human brain at 100 micron resolution,” Scientific Data, vol. 6, no. 1, Dec. 2019, doi: 10.1038/s41597-019-0254-8. [3] A. Laader et al., “1.5 versus 3 versus 7 Tesla in abdominal MRI: a comparative study,” PLOS ONE, vol. 12, no. 11, Nov. 2017, doi: 10.1371/journal.pone.0187528. [4] T. J. 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