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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 889
Design and Simulation of Narrow Beamwidth Dipole Array Antenna for
Microwave Imaging
Sunirban Ranjit1, Kanchan Kumar Kaity2, Dr. Kabita Purkait3
1Student, Dept. of Electronics and Communication Engineering, Kalyani Government Engineering College, West
Bengal, India
2 Student, Dept. of Electronics and Communication Engineering, Kalyani Government Engineering College, West
Bengal, India
3 Associate Professor, Dept. of Electronics and Communication Engineering, Kalyani Government Engineering
College, West Bengal, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - This paper introduces a novel medical imaging
approach with microwaves using a narrow-beam dipole
antenna array. The proposed technique removes the
hazards caused by imaging with X-rays and, at the same
time, enhances diagnostic precision over traditional
ultrasound. The dipole antenna array, with a narrow half-
power beam width and reduced side-lobe, enables focused
and precise imaging of biological targets. The study explores
theoretical foundations, potential applications, advantages,
and emphasizes its role in tumor and cancer detection. This
innovative solution holds promise for safer diagnostics and
improved accuracy in medical imaging technologies.
Key Words: Dipole array, Microwave Imaging,
Beamwidth, Array factor, Binomial Method, Woodward
Lawson Method, Space factor
1.INTRODUCTION
Medical imaging stands as a cornerstone in the realm of
healthcare, playing an indispensable role in the early
detection and diagnosis of tumours and cancerous cells. A
myriad of methodologies, ranging from the widely utilised
X-rays to advanced techniques like CT scans,
mammograms, ultrasound, MRI, PET scans, and nuclear
medicine scans, offer valuable insights into the internal
structures of the human body. However, each method
carries its own set of limitations, sparking a critical need
for exploration into alternative imaging modalities that
not only address health concerns but also elevate the
accuracy of diagnostic procedures.
One prominent challenge arises from X-ray imaging, a
stalwart in medical diagnostics. Despite its widespread
use, the technique raises apprehensions due to the
potential health risks associated with ionising radiation
exposure. Furthermore, ultrasound imaging, often
considered a safer alternative, confronts limitations in
precision, hindering its efficacy in accurate tumour
detection. This imperative necessitates a paradigm shift in
medical imaging approaches, prompting the introduction
of innovative solutions that transcend the existing
constraints.
In response to the limitations inherent in current imaging
techniques, this paper introduces a groundbreaking
approach—microwave imaging with a narrow beam
dipole antenna array. This method seeks to address the
health risks posed by X-ray exposure while concurrently
enhancing the accuracy of tumour detection beyond the
confines of conventional ultrasound methods. The design
incorporates a dipole antenna array working on the 2.4
GHz microwave band with a very low 3 dB beamwidth,
offering a nuanced and precise imaging capability..
2. LITERATURE REVIEW
The utilisation of microwave technology in medical
imaging has gained attention in recent years due to its
potential for non-ionising and safer imaging compared to
X-rays. Nour [1] has proposed a working principle behind
microwave imaging (MWI) and its various types, namely,
microwave tomography and radar-based imaging. The
permittivity and conductivity of malignant and benign
breast tissues were examined by Joines et al. [2] in 1994 at
frequencies spanning from 50 to 900 MHz, and their
results were in line with the previously described
investigations.. Mohammad Alibakhshikenar [3] presented
a study of a planar antenna array inspired by the
metamaterial concept where the resonant elements have
sub-wavelength dimensions for application in microwave
medical imaging for detecting breast cancer. The proposed
antenna consists of square-shaped concentric rings, which
are connected to a central patch through a common
feedline. A small and ultra-wide band antenna on a flexible
substrate has been reported by Ashiqur Rahman [4] using
the 5-(4-(perfluorohexyl)phenyl)thiophene-2-
carbaldehyde compound for microwave imaging. The
compact antennas are 20 × 14 mm2 and designed for
operating at frequencies from 4 to 6 GHz. Mohammad
Shahidul Islam [5] has proposed a metamaterial (MTM)-
loaded compact three-dimensional antenna with a folded
parasitic patch that attains directional radiation patterns
with 80% fractional bandwidth. The operating frequency
of the antenna is 1.95–4.5 GHz. Johnathan [6] has
proposed The dual antiphase patch antenna for
osteoporosis operates at 2.4 GHz.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 890
3. THEORITICAL BACKGROUND
Arranging the antenna in a precise configuration that
maximizes each component's contribution in the intended
direction and minimizes it in other directions is the best
method to increase antenna performance without
expanding its size. Antenna array is this. Some important
parameters of antenna array are [7] :
1. Antenna Patterns : An antenna pattern (or
radiation pattern) is a three-dimensional plot of
radiation at its far field.
2. Directive Gain : The directive gain ( of
antenna is a measure of the concentration of the
radiated power in a particular direction .
(1)
Where is radiation intensity and is
total average radiated power.
3. Beam Width : Beam width is the aperture angle
from where most of the power is radiated
4. Half power Beamwidth: The angular separation,
in which the magnitude of the radiation pattern
decreases by 50% (or -3dB) from the peak of the
main beam, is the Half Power Beam Width.
5. Array Factor : Array factor represents the
radiation pattern of an antenna array. It describes
how the individual antennas in an array combine
to form a radiation pattern that is different from
that of a single antenna element. General equation
for N element linear array is
∑
(2)
Where , d = the spacing between adjacent
antenna elements, N is the total number of
antenna elements in the array, is the
directional cosine term, which takes into account
the angle of radiation or observation.
4. RADIATION PATTERN
Very long arrays of discrete elements usually are more
difficult to implement, as well as expensive, but have
narrow beamwidths. For such application, antennas with
continuous distributions would be convenient to use. A
very long wire represents antennas with continuous line
and a large reflector represents antennas with continuous
aperture distributions. As the number of elements
increases in a fixed-length array, the source approaches a
continuous distribution. In the limit, the array factor
summation reduces to an integral. For a continuous
distribution, the factor that corresponds to the array
factor is known as the space factor. For a line-source
distribution of length l placed symmetrically along the z-
axis , the space factor (SF) is given by [7]
∫ ( )
(3)
where and represent, respectively, the
amplitude and phase distributions along the source.
According to Fourier Transform method for a continuous
line-source distribution of length l, the normalized space
factor can be written as
∫
(4)
where is the excitation phase constant of the source.
For a normalized uniform current distribution of the form
equation (4) reduces to [7]
(5)
4.1 Woodward-Lawson method
A very popular antenna pattern synthesis method used for
beam shaping was introduced by Woodward and Lawson
[8], [9], [10]. The desired pattern is sampled at different
discrete points to complete the synthesis. Every pattern
sample has a harmonic current with a uniform progressive
phase and amplitude distribution associated with it. The
field that corresponds to this harmonic current is called
the composing function. For a line-source, each composing
function is of an form whereas for a linear array
it takes an form. Each harmonic current has an
excitation coefficient bm such that, at each corresponding
sampled point, the field strength of the desired pattern
equals the amplitude of the pattern. A finite summation of
space harmonics makes up the source's overall excitation.
A finite summation of composing functions, with each
term denoting the field of a current harmonic with
uniform amplitude distribution and uniform progressive
phase, represents the matching synthesized pattern. The
analytical formulation of this method is similar to the
Shannon sampling
If the current distribution of a continuous source be
represented, within range,then by a finite
summation of normalized sources each of constant
amplitude and linear phase of the form [7]
(6)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 891
represents the angles where the desired pattern is
sampled.
Associated with each current source of equation (6) is a
corresponding field pattern of the form given by [7]
(7)
whose maximum occurs when . The total pattern is
obtained by summing 2M (even samples) or 2M + 1 (odd
samples) terms each of the form. So
∑
(8)
To satisfy the periodicity requirements of 2π for real
values of (visible region) and to faithfully reconstruct
the desired pattern, each sample should be separated by
(9)
(10)
4.2 Binomial Array
The binomial array method is used to create small side
lobes of the antenna pattern. As a matter of fact, binomial
arrays with element spacing equal to or less than one-half
of a wavelength have no side lobes. It is apparent that the
designer must compromise between side lobe level and
beamwidth. [7]
The array factor of a binomial array is represented as
∑
(11)
∑
(12)
Where
To determine the excitation coefficients of a binomial
array, J. S. Stone [6] suggested that the function (1+x)m-1 be
written in a series, using the binomial expansion, as [7]
(13)
The above represents Pascal’s triangle. If the values of m
are used to represent the number of elements in the array,
then the coefficients of the expansion represent the
relative amplitudes of the elements.
For example, for 5 elements excitation amplitudes will be
1,4,6,4,1.
5. PROPOSED METHOD
The amplitude excitation coefficients for a specific number
of elements are one of the prerequisites for the binomial
technique, just like for any other nonuniform array
method. One can use equation (13) or its extensions to do
this. Side lobe level, half-power beamwidth, and directivity
are further figures of merit. When the spacing between the
elements is equal to or less than half of a wavelength,
binomial arrays don't show any minor lobes. However, the
primary drawback is that the beamwidth cannot be
reduced using a binomial array. Additionally, it works best
with fewer array elements.
Conversely, the Woodward-Lawson technique allows for
the development of the overall pattern in the following
ways: The primary beam placement of the pattern
generated by the first composing function is based on the
value of its uniform progressive phase, and the innermost
sidelobe level is around −13.5 dB. The level of the
remaining sidelobes falls monotonically. With the
exception of adjusting its uniform progressive phase to
align its major lobe maximum with the innermost null of
the first composing function, the second composing
function follows a pattern that is comparable to the first.
As a result, the innermost null of the first composing
function's pattern fills in; the second composing function's
amplitude excitation regulates how much filling-in occurs.
From equation (10)
for
odd samples
(14)
( )
(15)
( )
(16)
( )
(17)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 892
In the proposed method 11 elements have been taken. So
and , odd samples.
So angles and excitation coefficients are calculated as.
Table-1: Excitation Coefficients ( Woodward Lawson)
m m
0 1 -1 1
1 1 -2 1
2 1 -3 1
3 1 -4 0
4 0 -5 0
5 0
From equation (13), for 11 elements excitation amplitudes
will be as follow
Table-2: Excitation amplitudes ( Binomial)
m Excitation
amplitude
m Excitation
amplitude
0 252 -1 210
1 210 -2 120
2 120 -3 45
3 45 -4 10
4 10 -5 1
5 1
So in the proposed method excitation phases of the array
elements has been taken according to Woodward-Lawson
method and excitation amplitudes has been taken as
Binomial array method.
6. RESULT AND DISCUSSION
The parameters of proposed antenna array is given below.
Table-3: Antenna parameters
Antenna Parameter Value
Arm Length 27.5mm
Diameter 2.08mm
Gap between arms 2.08mm
Spacing between two
dipoles
62.5mm
Fig -1: Structure of proposed antenna array
The proposed design was simulated in HFSS(Fig-1). The
antenna specifications are taken from table no. 3, and
feeding excitation amplitude and phase has been taken
from table 1 and 2.
Fig -2: S parameter of proposed design
From the simulation results it is found that the S
parameter had a center frequency at 2.4 GHz with a return
loss value of -19.78dB. And the bandwidth had been found
to be 1.9GHz.
Figure -3: 3D polar plot
Figure -4: Radiation pattern at theta=90
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 893
From the 3D polar plot it is observed that the main lobe
maximum gain is 10.53dB. HPBW is 18.9 and minimum
sidelobe gain is -69.2dB. Maximum side lobe gain is -
27.48dB.
Comparison of the results of the proposed design with
various similar designs are as follows :
Table -4: Comparison with similar work
Works
Frequency
No.
of
elements
Main
lobe
gain
(dB)
HPBW(deg
ree)
Side
lobe
gain(dB)
Bandwidth
Aras
Saeed
Mahmood
[11]
1.8GHz 10 10.7 80 0.13 -
Aras
Saeed
Mahmood
[11]
1.8GHz 9 12.4 80 1.68 -
Tianfan Xu
[12]
5.9
GHz
16 11.3 24.4 -11.4 579
MHz
B.
Narasimha
Reddy
[13]
300
MHz
19 0 10 -28 -
Richard
W.
Ziolkowski
[14]
2.45
GHz
9 12.5 155 -11.9 78
MHz
A. Trastoy
[15]
- 19 2.6 3.6 -25.4
Proposed
Method
2.4Ghz 11 10.53 18.9 -27.48 1.9Ghz
7. CONCLUSIONS
In conclusion, this paper introduces a transformative
approach to medical imaging—microwave imaging with a
narrow beam dipole antenna array. Addressing limitations
in existing modalities, the proposed technique leverages
microwave radiation for safer diagnostics and improved
accuracy. The precise design of the antenna array, with a 3
dB beam width of 18.9 degrees, a main lobe gain of 10.59
dB, and a maximum side-lobe value of -27.48 dB, offers
focused imaging. The study explores theoretical
foundations, including binomial feeding and the
Woodward-Lawson method. With potential applications in
tumor detection, the comparative analysis simulated in
HFSS forecasts this innovation as a promising
advancement in medical imaging, prompting further
research for enhanced precision and patient care.
REFERENCES
[1] S. E.-A. S. D. A. Z. Nour AlSawaftah, "Microwave
Imaging for Early Breast Cancer Detection: Current
State, Challenges, and Future Directions," Journal of
Imaging, vol. 123, no. 8, p. 31, 2022.
[2] W. Joines, Y. Zhang, C. Li and R. Jirtle, "The measured
electrical properties of normal and malignant human
tissues from 50 to 900 MHz.," Med. Phys., vol. 21, no.
4, pp. 547-550, 1994.
[3] B. V. Mohammad Alibakhshikenari, "Metamaterial-
Inspired Antenna Array for Application in Microwave
Breast Imaging Systems for Tumor Detection," IEEE
Access, vol. 174667, no. 8, p. 12, 2020.
[4] A. I. M. S. M. e. a. Rahman, "Electromagnetic
Performances Analysis of an Ultra-wideband and
Flexible Material Antenna in Microwave Breast
Imaging: To Implement A Wearable Medical Bra," Sci
Rep, vol. 38906, no. 6, 38906.
[5] M. I. M. &. A. A. Islam, "A portable non-invasive
microwave based head imaging system using
compact metamaterial loaded 3D unidirectional
antenna for stroke detection.," Sci Rep, vol. 8896, no.
12, 2022.
[6] J. Adams, "Dual-Antiphase Patch Antennas for
Microwave Imaging and Osteoporosis Screening
Results Based on Neural Networks: Theoretical and
Experimental Results," Worcester Polytechnic
Institute., Worcester, Massachusetts, 2022.
[7] C. A. Balanis, Antenna Theory Analysis and Design,
Hoboken, New Jersey: John Wiiley & Sons, Inc., 2005.
[8] W. M. L. J. a. E. B. J. D. T. Paris, "Basic theory of Probe-
Compensated Nearfield Measurements," IEEE Trans.
Antennas Propagat, vol. 26, no. 3, pp. 373-379, May
1978.
[9] W. M. L. J. G. P. R. D. T. P. E. B. Joy, "Applications of
ProbCompensated Near-Field Measurements," IEEE
Trans, Antenna Propagat, vol. 26, no. 3, pp. 379-389,
May 1978.
[10] P. W. Arnold, "The 'Slant' Antenna Range," IEEE
Trans, Antenna Propagat, vol. 14, no. 5, pp. 658-659,
Sept 1966.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 894
[11] A. Mahmood, "Study of the Binomial Excitation of a
Linear Broadside 10-Element Dipole Antenna Array.,"
International Journal of Electronics Communication
and Computer Engineering, vol. 7, 2017.
[12] T. Xu, M. Xu and X. Cai, "The Design of a Circularly
Polarized Antenna Array with Flat-Top Beam for an
Electronic Toll Collection System," Sensors, vol. 9388,
no. 23, 2023.
[13] M. A. A. S. K. T. K. V. M. K. B. Narasimha Reddy,
"Design of Linear Dipole Array Antenna Using Hybrid
Pso-Gsa Optimization Tecnique," JETIR, vol. 8, no. 8,
2021.
[14] W. a. R. W. Z. Lin, "Theoretical analysis of beam-
steerable, broadside-radiating Huygens dipole
antenna arrays and experimental verification of an
ultrathin prototype for wirelessly powered IoT
applications.," IEEE Open Journal of Antennas and
Propagation, vol. 2, pp. 954-967, 2021.
[15] A. &. R.-S. Y. &. A. F. &. M.-P. Trastoy, "Two-pattern
linear array antenna: synthesis and analysis of
tolerance.," Microwaves, Antennas and Propagation,
IEEE Proceedings, vol. 151, pp. 127-130, 2004.

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Design and Simulation of Narrow Beamwidth Dipole Array Antenna for Microwave Imaging

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 889 Design and Simulation of Narrow Beamwidth Dipole Array Antenna for Microwave Imaging Sunirban Ranjit1, Kanchan Kumar Kaity2, Dr. Kabita Purkait3 1Student, Dept. of Electronics and Communication Engineering, Kalyani Government Engineering College, West Bengal, India 2 Student, Dept. of Electronics and Communication Engineering, Kalyani Government Engineering College, West Bengal, India 3 Associate Professor, Dept. of Electronics and Communication Engineering, Kalyani Government Engineering College, West Bengal, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - This paper introduces a novel medical imaging approach with microwaves using a narrow-beam dipole antenna array. The proposed technique removes the hazards caused by imaging with X-rays and, at the same time, enhances diagnostic precision over traditional ultrasound. The dipole antenna array, with a narrow half- power beam width and reduced side-lobe, enables focused and precise imaging of biological targets. The study explores theoretical foundations, potential applications, advantages, and emphasizes its role in tumor and cancer detection. This innovative solution holds promise for safer diagnostics and improved accuracy in medical imaging technologies. Key Words: Dipole array, Microwave Imaging, Beamwidth, Array factor, Binomial Method, Woodward Lawson Method, Space factor 1.INTRODUCTION Medical imaging stands as a cornerstone in the realm of healthcare, playing an indispensable role in the early detection and diagnosis of tumours and cancerous cells. A myriad of methodologies, ranging from the widely utilised X-rays to advanced techniques like CT scans, mammograms, ultrasound, MRI, PET scans, and nuclear medicine scans, offer valuable insights into the internal structures of the human body. However, each method carries its own set of limitations, sparking a critical need for exploration into alternative imaging modalities that not only address health concerns but also elevate the accuracy of diagnostic procedures. One prominent challenge arises from X-ray imaging, a stalwart in medical diagnostics. Despite its widespread use, the technique raises apprehensions due to the potential health risks associated with ionising radiation exposure. Furthermore, ultrasound imaging, often considered a safer alternative, confronts limitations in precision, hindering its efficacy in accurate tumour detection. This imperative necessitates a paradigm shift in medical imaging approaches, prompting the introduction of innovative solutions that transcend the existing constraints. In response to the limitations inherent in current imaging techniques, this paper introduces a groundbreaking approach—microwave imaging with a narrow beam dipole antenna array. This method seeks to address the health risks posed by X-ray exposure while concurrently enhancing the accuracy of tumour detection beyond the confines of conventional ultrasound methods. The design incorporates a dipole antenna array working on the 2.4 GHz microwave band with a very low 3 dB beamwidth, offering a nuanced and precise imaging capability.. 2. LITERATURE REVIEW The utilisation of microwave technology in medical imaging has gained attention in recent years due to its potential for non-ionising and safer imaging compared to X-rays. Nour [1] has proposed a working principle behind microwave imaging (MWI) and its various types, namely, microwave tomography and radar-based imaging. The permittivity and conductivity of malignant and benign breast tissues were examined by Joines et al. [2] in 1994 at frequencies spanning from 50 to 900 MHz, and their results were in line with the previously described investigations.. Mohammad Alibakhshikenar [3] presented a study of a planar antenna array inspired by the metamaterial concept where the resonant elements have sub-wavelength dimensions for application in microwave medical imaging for detecting breast cancer. The proposed antenna consists of square-shaped concentric rings, which are connected to a central patch through a common feedline. A small and ultra-wide band antenna on a flexible substrate has been reported by Ashiqur Rahman [4] using the 5-(4-(perfluorohexyl)phenyl)thiophene-2- carbaldehyde compound for microwave imaging. The compact antennas are 20 × 14 mm2 and designed for operating at frequencies from 4 to 6 GHz. Mohammad Shahidul Islam [5] has proposed a metamaterial (MTM)- loaded compact three-dimensional antenna with a folded parasitic patch that attains directional radiation patterns with 80% fractional bandwidth. The operating frequency of the antenna is 1.95–4.5 GHz. Johnathan [6] has proposed The dual antiphase patch antenna for osteoporosis operates at 2.4 GHz.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 890 3. THEORITICAL BACKGROUND Arranging the antenna in a precise configuration that maximizes each component's contribution in the intended direction and minimizes it in other directions is the best method to increase antenna performance without expanding its size. Antenna array is this. Some important parameters of antenna array are [7] : 1. Antenna Patterns : An antenna pattern (or radiation pattern) is a three-dimensional plot of radiation at its far field. 2. Directive Gain : The directive gain ( of antenna is a measure of the concentration of the radiated power in a particular direction . (1) Where is radiation intensity and is total average radiated power. 3. Beam Width : Beam width is the aperture angle from where most of the power is radiated 4. Half power Beamwidth: The angular separation, in which the magnitude of the radiation pattern decreases by 50% (or -3dB) from the peak of the main beam, is the Half Power Beam Width. 5. Array Factor : Array factor represents the radiation pattern of an antenna array. It describes how the individual antennas in an array combine to form a radiation pattern that is different from that of a single antenna element. General equation for N element linear array is ∑ (2) Where , d = the spacing between adjacent antenna elements, N is the total number of antenna elements in the array, is the directional cosine term, which takes into account the angle of radiation or observation. 4. RADIATION PATTERN Very long arrays of discrete elements usually are more difficult to implement, as well as expensive, but have narrow beamwidths. For such application, antennas with continuous distributions would be convenient to use. A very long wire represents antennas with continuous line and a large reflector represents antennas with continuous aperture distributions. As the number of elements increases in a fixed-length array, the source approaches a continuous distribution. In the limit, the array factor summation reduces to an integral. For a continuous distribution, the factor that corresponds to the array factor is known as the space factor. For a line-source distribution of length l placed symmetrically along the z- axis , the space factor (SF) is given by [7] ∫ ( ) (3) where and represent, respectively, the amplitude and phase distributions along the source. According to Fourier Transform method for a continuous line-source distribution of length l, the normalized space factor can be written as ∫ (4) where is the excitation phase constant of the source. For a normalized uniform current distribution of the form equation (4) reduces to [7] (5) 4.1 Woodward-Lawson method A very popular antenna pattern synthesis method used for beam shaping was introduced by Woodward and Lawson [8], [9], [10]. The desired pattern is sampled at different discrete points to complete the synthesis. Every pattern sample has a harmonic current with a uniform progressive phase and amplitude distribution associated with it. The field that corresponds to this harmonic current is called the composing function. For a line-source, each composing function is of an form whereas for a linear array it takes an form. Each harmonic current has an excitation coefficient bm such that, at each corresponding sampled point, the field strength of the desired pattern equals the amplitude of the pattern. A finite summation of space harmonics makes up the source's overall excitation. A finite summation of composing functions, with each term denoting the field of a current harmonic with uniform amplitude distribution and uniform progressive phase, represents the matching synthesized pattern. The analytical formulation of this method is similar to the Shannon sampling If the current distribution of a continuous source be represented, within range,then by a finite summation of normalized sources each of constant amplitude and linear phase of the form [7] (6)
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 891 represents the angles where the desired pattern is sampled. Associated with each current source of equation (6) is a corresponding field pattern of the form given by [7] (7) whose maximum occurs when . The total pattern is obtained by summing 2M (even samples) or 2M + 1 (odd samples) terms each of the form. So ∑ (8) To satisfy the periodicity requirements of 2π for real values of (visible region) and to faithfully reconstruct the desired pattern, each sample should be separated by (9) (10) 4.2 Binomial Array The binomial array method is used to create small side lobes of the antenna pattern. As a matter of fact, binomial arrays with element spacing equal to or less than one-half of a wavelength have no side lobes. It is apparent that the designer must compromise between side lobe level and beamwidth. [7] The array factor of a binomial array is represented as ∑ (11) ∑ (12) Where To determine the excitation coefficients of a binomial array, J. S. Stone [6] suggested that the function (1+x)m-1 be written in a series, using the binomial expansion, as [7] (13) The above represents Pascal’s triangle. If the values of m are used to represent the number of elements in the array, then the coefficients of the expansion represent the relative amplitudes of the elements. For example, for 5 elements excitation amplitudes will be 1,4,6,4,1. 5. PROPOSED METHOD The amplitude excitation coefficients for a specific number of elements are one of the prerequisites for the binomial technique, just like for any other nonuniform array method. One can use equation (13) or its extensions to do this. Side lobe level, half-power beamwidth, and directivity are further figures of merit. When the spacing between the elements is equal to or less than half of a wavelength, binomial arrays don't show any minor lobes. However, the primary drawback is that the beamwidth cannot be reduced using a binomial array. Additionally, it works best with fewer array elements. Conversely, the Woodward-Lawson technique allows for the development of the overall pattern in the following ways: The primary beam placement of the pattern generated by the first composing function is based on the value of its uniform progressive phase, and the innermost sidelobe level is around −13.5 dB. The level of the remaining sidelobes falls monotonically. With the exception of adjusting its uniform progressive phase to align its major lobe maximum with the innermost null of the first composing function, the second composing function follows a pattern that is comparable to the first. As a result, the innermost null of the first composing function's pattern fills in; the second composing function's amplitude excitation regulates how much filling-in occurs. From equation (10) for odd samples (14) ( ) (15) ( ) (16) ( ) (17)
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 892 In the proposed method 11 elements have been taken. So and , odd samples. So angles and excitation coefficients are calculated as. Table-1: Excitation Coefficients ( Woodward Lawson) m m 0 1 -1 1 1 1 -2 1 2 1 -3 1 3 1 -4 0 4 0 -5 0 5 0 From equation (13), for 11 elements excitation amplitudes will be as follow Table-2: Excitation amplitudes ( Binomial) m Excitation amplitude m Excitation amplitude 0 252 -1 210 1 210 -2 120 2 120 -3 45 3 45 -4 10 4 10 -5 1 5 1 So in the proposed method excitation phases of the array elements has been taken according to Woodward-Lawson method and excitation amplitudes has been taken as Binomial array method. 6. RESULT AND DISCUSSION The parameters of proposed antenna array is given below. Table-3: Antenna parameters Antenna Parameter Value Arm Length 27.5mm Diameter 2.08mm Gap between arms 2.08mm Spacing between two dipoles 62.5mm Fig -1: Structure of proposed antenna array The proposed design was simulated in HFSS(Fig-1). The antenna specifications are taken from table no. 3, and feeding excitation amplitude and phase has been taken from table 1 and 2. Fig -2: S parameter of proposed design From the simulation results it is found that the S parameter had a center frequency at 2.4 GHz with a return loss value of -19.78dB. And the bandwidth had been found to be 1.9GHz. Figure -3: 3D polar plot Figure -4: Radiation pattern at theta=90
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 893 From the 3D polar plot it is observed that the main lobe maximum gain is 10.53dB. HPBW is 18.9 and minimum sidelobe gain is -69.2dB. Maximum side lobe gain is - 27.48dB. Comparison of the results of the proposed design with various similar designs are as follows : Table -4: Comparison with similar work Works Frequency No. of elements Main lobe gain (dB) HPBW(deg ree) Side lobe gain(dB) Bandwidth Aras Saeed Mahmood [11] 1.8GHz 10 10.7 80 0.13 - Aras Saeed Mahmood [11] 1.8GHz 9 12.4 80 1.68 - Tianfan Xu [12] 5.9 GHz 16 11.3 24.4 -11.4 579 MHz B. Narasimha Reddy [13] 300 MHz 19 0 10 -28 - Richard W. Ziolkowski [14] 2.45 GHz 9 12.5 155 -11.9 78 MHz A. Trastoy [15] - 19 2.6 3.6 -25.4 Proposed Method 2.4Ghz 11 10.53 18.9 -27.48 1.9Ghz 7. CONCLUSIONS In conclusion, this paper introduces a transformative approach to medical imaging—microwave imaging with a narrow beam dipole antenna array. Addressing limitations in existing modalities, the proposed technique leverages microwave radiation for safer diagnostics and improved accuracy. The precise design of the antenna array, with a 3 dB beam width of 18.9 degrees, a main lobe gain of 10.59 dB, and a maximum side-lobe value of -27.48 dB, offers focused imaging. The study explores theoretical foundations, including binomial feeding and the Woodward-Lawson method. With potential applications in tumor detection, the comparative analysis simulated in HFSS forecasts this innovation as a promising advancement in medical imaging, prompting further research for enhanced precision and patient care. REFERENCES [1] S. E.-A. S. D. A. Z. Nour AlSawaftah, "Microwave Imaging for Early Breast Cancer Detection: Current State, Challenges, and Future Directions," Journal of Imaging, vol. 123, no. 8, p. 31, 2022. [2] W. Joines, Y. Zhang, C. Li and R. Jirtle, "The measured electrical properties of normal and malignant human tissues from 50 to 900 MHz.," Med. Phys., vol. 21, no. 4, pp. 547-550, 1994. [3] B. V. Mohammad Alibakhshikenari, "Metamaterial- Inspired Antenna Array for Application in Microwave Breast Imaging Systems for Tumor Detection," IEEE Access, vol. 174667, no. 8, p. 12, 2020. [4] A. I. M. S. M. e. a. Rahman, "Electromagnetic Performances Analysis of an Ultra-wideband and Flexible Material Antenna in Microwave Breast Imaging: To Implement A Wearable Medical Bra," Sci Rep, vol. 38906, no. 6, 38906. [5] M. I. M. &. A. A. Islam, "A portable non-invasive microwave based head imaging system using compact metamaterial loaded 3D unidirectional antenna for stroke detection.," Sci Rep, vol. 8896, no. 12, 2022. [6] J. Adams, "Dual-Antiphase Patch Antennas for Microwave Imaging and Osteoporosis Screening Results Based on Neural Networks: Theoretical and Experimental Results," Worcester Polytechnic Institute., Worcester, Massachusetts, 2022. [7] C. A. Balanis, Antenna Theory Analysis and Design, Hoboken, New Jersey: John Wiiley & Sons, Inc., 2005. [8] W. M. L. J. a. E. B. J. D. T. Paris, "Basic theory of Probe- Compensated Nearfield Measurements," IEEE Trans. Antennas Propagat, vol. 26, no. 3, pp. 373-379, May 1978. [9] W. M. L. J. G. P. R. D. T. P. E. B. Joy, "Applications of ProbCompensated Near-Field Measurements," IEEE Trans, Antenna Propagat, vol. 26, no. 3, pp. 379-389, May 1978. [10] P. W. Arnold, "The 'Slant' Antenna Range," IEEE Trans, Antenna Propagat, vol. 14, no. 5, pp. 658-659, Sept 1966.
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 11 | Nov 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 894 [11] A. Mahmood, "Study of the Binomial Excitation of a Linear Broadside 10-Element Dipole Antenna Array.," International Journal of Electronics Communication and Computer Engineering, vol. 7, 2017. [12] T. Xu, M. Xu and X. Cai, "The Design of a Circularly Polarized Antenna Array with Flat-Top Beam for an Electronic Toll Collection System," Sensors, vol. 9388, no. 23, 2023. [13] M. A. A. S. K. T. K. V. M. K. B. Narasimha Reddy, "Design of Linear Dipole Array Antenna Using Hybrid Pso-Gsa Optimization Tecnique," JETIR, vol. 8, no. 8, 2021. [14] W. a. R. W. Z. Lin, "Theoretical analysis of beam- steerable, broadside-radiating Huygens dipole antenna arrays and experimental verification of an ultrathin prototype for wirelessly powered IoT applications.," IEEE Open Journal of Antennas and Propagation, vol. 2, pp. 954-967, 2021. [15] A. &. R.-S. Y. &. A. F. &. M.-P. Trastoy, "Two-pattern linear array antenna: synthesis and analysis of tolerance.," Microwaves, Antennas and Propagation, IEEE Proceedings, vol. 151, pp. 127-130, 2004.