Design and Modeling of Metamaterial-Based
Antenna Arrays for Nanosatellite
Communication Systems
Diseño y Modelado de Arreglos de Antenas basado en Metamateriales para Sistema de
Comunicación de Nanosatélite
Axel Hemsy
#1
, Juan Eduardo Ise
#2
, Miguel Ángel Cabrera
#3
, Mariano Fagre
#α4
#
Laboratorio de Telecomunicaciones, Facultad de Ciencias Exactas y Tecnología, Universidad Nacional de Tucumán
Av. Independencia 1800, Tucumán (4000), Argentina
1
ahemsy@herrera.unt.edu.ar
2
jise@herrera.unt.edu.ar
3
mcabrera@herrera.unt.edu.ar
4
mfagre@herrera.unt.edu.ar
*
Laboratorio de Dieléctricos, Facultad de Ciencias Exactas y Tecnología, Universidad Nacional de Tucumán
Av. Independencia 1800, Tucumán (4000), Argentina
α
Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET)
Crisóstomo Álvarez 722, Tucumán (4000), Argentina
Abstract The design and modeling of compact antenna
arrays based on metamaterials for nanosatellite
communication systems is presented. The main objective is to
optimize performance at 2.45 GHz (S-Band). As a first step, a
single coaxially fed antenna was designed on a Rogers
RO4350B substrate (0.76 mm thick, εᵣ = 3.48). A unit cell with
Minkowski fractal geometry was incorporated into the ground
plane, and two opposite corners of the patch were truncated to
induce right-hand circular polarization.
Different antenna arrays were designed in 2 (45 × 185
mm), 1×4 (48 × 155 mm), and 2×2 (75 × 85 mm)
configurations, all with the same thickness of 0.76 mm. The
feeding networks were implemented using Wilkinson power
dividers. These arrays enabled an increase in gain to 5.1 dBi,
5.21 dBi, and 5.8 dBi, as well as an improvement in axial ratio,
while maintaining efficiencies between 71% and 78%. The
useful bandwidths obtained (VSWR < 2, S₁₁ < -10 dB, axial
ratio < 3 dB) were 22 MHz, 39 MHz and 27 MHz. The compact
dimensions allow integration with the structure and
subsystems onboard a CubeSat: the 1×2 and 2×2 arrays are
compatible with a 1U format, while the 1×4 can be integrated
into a 2U format.
Keywords: nanosatellite; antenna array; metamaterial.
ResumenSe presenta el diseño y modelado de arreglos de
antenas patch compacta basada en metamateriales, destinada a
sistemas de comunicación para nanosatélites. El objetivo
principal es optimizar el desempeño a una frecuencia de 2.45
GHz (Banda S). Como primer paso, se diseñó una antena
individual con alimentación coaxial sobre un sustrato Rogers
RO4350B (espesor de 0.76 mm, εᵣ = 3.48). En el plano de tierra
se incorporó una celda unitaria con geometría fractal tipo
Minkowski, y se truncaron dos esquinas opuestas del parche
para inducir polarización circular derecha.
Se diseñaron diferentes arreglos de antenas en
configuraciones 1×2 (45 × 85 mm), 1×4 (48 × 155 mm) y 2×2
(75 × 85 mm), todos con el mismo espesor de 0.76 mm. La
alimentación se realizó mediante divisores de potencia tipo
Wilkinson. Estos arreglos permitieron aumentar la ganancia a
5.1 dBi, 5.2 dBi y 5.8 dBi, y mejorar la relación axial,
manteniendo eficiencias entre el 71% y el 78%. Los anchos de
banda útiles obtenidos (ROE < 2, S₁₁ < -10 dB, relación axial <
3 dB) fueron de 22 MHz, 39 MHz y 27 MHz. Las dimensiones
compactas permiten su integración con la estructura y los
subsistemas a bordo de un CubeSat: los arreglos 1×2 y 2×2 son
compatibles con un formato de 1U, mientras que el 1×4 puede
integrarse en un formato de 2U.
Palabras clave: nanosatélite; arreglo de antenas; metamaterial.
I. INTRODUCTION
The development of artificial satellites began with the
launch of Sputnik I in 1957, marking the dawn of the space
age. Since then, satellite technology has rapidly evolved
toward smaller, more accessible platforms [1]. Over the past
two decades, nanosatellites have gained significant attention
due to their low cost, modular design, and rapid deployment
capability in low Earth orbit [2]. However, the development
of CubeSats for diverse missions must comply with strict
limitations, including dimensions, mass, and the structure of
the antenna deployment system. Antenna design is one of
the critical factors in the construction of CubeSats, and it
requires careful consideration of mission requirements [3].
Antennas based on metasurface achieve the essential
performance required for a CubeSat mission without
increasing the overall physical size of the final designs,
making them geometrically and mechanically suitable for
Revista elektron, Vol. 9, No. 2, pp. 94-100 (2025)
ISSN 2525-0159
94
Recibido: 23/09/25; Aceptado: 17/11/25
https://doi.org/10.37537/rev.elektron.9.2.217.2025
Original Article
compact CubeSat configurations such as 1U and 1.5U. The
metasurface patch antenna in the S, C, Ku, Ka and W-bands
stand out are low-profile, small, have minimal power
consumption, and do not require any deployment equipment
[4, 5].
In [6] they investigated a UHF antenna for nanosatellite
communication that incorporated a metamaterial-inspired
Epsilon-and-Mu-Near-Zero (EMNZ) structure on the
ground plane, combined with a meander line radiator. Their
study showed that a 3×2 unit-cell metamaterial arrangement
stabilized the resonance frequency against coupling with the
nanosatellite metallic structure, exhibiting EMNZ
characteristics between 385 MHz and 488.5 MHz. This
finding is directly relevant for miniaturized arrays, as it
demonstrates that integration with the metallic CubeSat
body can cause resonance shifts and additional losses if not
explicitly considered.
In [7] they proposed a spiral-shaped metamaterial patch
antenna operating at 2.1 GHz, with a bandwidth of 35.1
MHz and a directivity of 7.4 dBi. In [8] they analyzed the
influence on signal polarization when a metasurface was
placed at a certain distance above a patch antenna. The
designed and fabricated antenna operates at 2.49 GHz with
a gain of 5.7 dB.
In [9] the benefits of using metamaterials in S-band patch
antennas are highlighted. Their work compared a
conventional antenna with a metamaterial-based antenna fed
by a microstrip line, concluding that the inclusion of unit
cells in the ground plane allowed a 21% size reduction, as
well as improved efficiency and reduced axial ratio.
This work presents the design and modeling of a
metamaterial-based patch antenna array operating in the S-
band for nanosatellite communication systems, enabling a
reduction in dimensions compared to a conventional patch
antenna design, compatible with a 1U or 2U format.
II. ANTENNA DESIGN METHODOLOGY
The antenna is intended to provide efficient
communication between small satellites and Earth.
Therefore, it must meet the specifications listed in Table I.
TABLE I
REQUIRED PERFORMANCE
Parameter
Required value
S
11
< -10 dB
VSWR
<2
Gain
> 3 dBi
Polarization
Circular
Axial ratio
<3 dB
The work was carried out in two stages. First, a single
antenna was designed and modeled, and subsequently,
arrays were assembled in 1×2, 1×4, and 2×2 configurations.
A. Individual antenna
The patch antenna was designed on a Rogers RO4350B
substrate, whose characteristics are summarized in Table II.
A coaxial feed was selected, as it provides an easier and
more reliable connection to the nanosatellite platform.
TABLE II
ROGERS RO4350B SUBSTRATE
Dielectric constant
(3.48 ± 0.05)
Loss tangent
0.0031 (2.5 GHz)
Dielectric thickness
(0.76 ± 0.05) mm
Copper thickness
0.035 mm
The design consists of a square patch with two opposite
corners truncated by circular cuts. In this work, right-hand
circular polarization is considered. The radius of the
truncated circle was optimized during simulation.
Given the constraints of nanosatellite applications,
maintaining a physical gap between the metamaterial and
the antenna was considered impractical, as it could trap
space debris, potentially degrading performance or causing
structural damage. To overcome this limitation, the
metamaterial unit cell was embedded into the ground plane,
thereby eliminating the need for mechanical separation and
contributing to a reduction in the antenna’s overall volume
[9].
A unit cell was etched into the ground plane directly
beneath the patch to reduce the antenna’s physical
dimensions [10]. The geometry corresponds to a first-
iteration Minkowski fractal structure [11–13]. The unit cell
was simulated using a combination of perfect electric
conductor (PEC) and perfect magnetic conductor (PMC)
boundaries, confirming that its resonance frequency lies
within the S-band. The S11 parameter, shown in Fig. 2,
indicates that the structure resonates at 2.7 GHz. Attempts
to lower the resonance frequency of the metamaterial unit
cell led to a degradation of the antenna radiation parameters,
because the cell became larger than the patch.
Fig. 1 shows the front and back view of the individual
antenna, while its dimensions are detailed in Table III.
Fig. 1. Front and back view of the individual antenna.
TABLE III
DIMENSIONS OF THE INDIVIDUAL ANTENNA
Parameter
Value
Ground width/length (G)
40 mm
Patch width/length (P)
21.5 mm
Truncation radius (R)
2.7 mm
Microstrip line width (ML)
1.1 mm
B. Antenna Arrays
Based on the individual antenna design, arrays were
designed in three different configurations: 1×2, 1×4, and
2×2, with the objective of increasing gain and improving
coverage.
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Each array was assembled using a symmetric in-phase
branched feeding network with Wilkinson power dividers to
ensure balanced signal distribution. Quarter-wavelength (λ/4)
T-junction transformers were employed for impedance
matching.
Fig. 3 shows the models of the designed arrays, while the
physical dimensions are presented in Table IV.
Due to their compact dimensions, the 1×2 and 2×2 arrays
are compatible with a 1U nanosatellite format (10 cm cube),
while the 1×4 array, due to its larger length, can be
integrated into a 2U format.
Fig. 2. Unit cell simulation. The structure resonates at 2.7 GHz.
TABLE IV
DIMENSIONS OF THE ANTENNA ARRAYS
Parameter
1x2
1x4
2x2
Ground width (GW)
45 mm
48 mm
75 mm
Ground length (GL)
85 mm
155 mm
85 mm
Patch width/ length (P)
22 mm
18 mm
21 mm
Truncation Radius (R)
2.6 mm
2.6 mm
2.3 mm
Microstrip line width
(ML)
1.1 mm
1.1 mm
1.1 mm
Wilkinson divider
width (W)
0.51 mm
0.51 mm
0.51 mm
Antenna spacing (Z)
20.5 mm
20.75 mm
21.5 mm
III. RESULTS AND DISCUSSION
This section presents the simulation results obtained with
CST Studio Suite. The main parameters used to analyze the
performance of the different proposed antenna arrays are
presented below.
A. Return Loss – Parameter S
11
Fig. 4 and Table V show the return loss (S
11
) results for
the single antenna and the three proposed arrays.
The single antenna exhibits a resonance frequency
centered at 2.442 GHz, with a return loss of –17.7 dB. The
1×2 array resonates at 2.482 GHz, achieving a return loss of
–42.8 dB. The 1×4 array presents a resonance at 2.464 GHz
with a return loss of 29.2 dB. In the case of the 2×2 array,
two resonance peaks are observed: one at 2.422 GHz with a
return loss of –38.9 dB, and another at 2.496 GHz with
26.5 dB.
The bandwidth, defined by the condition S11 < 10 dB,
is summarized in Table V. Among all configurations, the
2×2 array achieves the widest bandwidth, reaching 160
MHz. The 1×2 array presents an intermediate bandwidth of
124 MHz, while the 1×4 array and the single antenna
exhibit narrower responses of 90 MHz and 82.3 MHz,
respectively.
Fig. 3. Antenna arrays. Top face (white) and bottom face (yellow). (a) 1x2,
(b) 1x4, (c) 2x2.
Fig. 4. S
11
parameter as a function of frequency for the single antenna and
the three arrays.
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TABLE V
S
11
PARAMETERS AND GAIN OF THE ANTENNAS
Individual
antenna
1x2
1x4
2x2
Frequency
(GHz)
2.442
2.482
2.464
2.422 and
2.496
S
11
(dB)
-17.7
-42.8
-29.2
-38.9 and -
26.5
Bandwidth
(S11<-10
dB)
(2.410 –
2.4923)
GHz
82.3 MHz
(2.395 –
2.519) GHz
124 MHz
(2.414 –
2.504) GHz
90 MHz
(2.382 –
2.542) GHz
160 MHz
Gain at
2.45 GHz
3.6 dBi
5.1 dBi
5.2 dBi
5.8 dBi
In addition, Table V includes the gain values obtained at
2.45 GHz for each design. It can be observed that the single
antenna satisfies the requirement of achieving a gain above
3 dBi, reaching 3.6 dBi. The gain increases to 5.1 dBi in the
1×2 array. For the arrays with four elements, the gain also
improves: the 1×4 array achieves 5.2 dBi, and the 2×2 array
reaches 5.8 dBi. The frequency-dependent behavior of the
gain with right-hand circular polarization is depicted in Fig.
5.
Fig. 5. Gain whit right-hand polarization as a function of frequency.
B. Voltage Standing Wave Ratio (VSWR)
Fig. 6 shows the VSWR variation as a function of
frequency for the single antenna and the proposed arrays. In
all cases, the minimum VSWR occurs at the operating
frequency, indicating proper impedance matching between
the radiating element and the feed line.
According to the results, the single antenna presents a
minimum VSWR of 1.3 at 2.442 GHz. The 1×2 array
achieves the lowest value of 1.02, indicating excellent
impedance matching. The 1×4 array maintains good
matching with a minimum of 1.07, while the 2×2 array
exhibits two minima: 1.02 at 2.422 GHz and 1.1 at 2.496
GHz.
In all cases, the values remain below 2 within the
operating range, fulfilling the design criteria.
C. Radiation Efficiency
Fig. 7 shows the radiation efficiency for the single
antenna and the arrays. At their respective operating
frequencies, the single antenna exhibits the highest
efficiency of about 87%. The 1×2 array presents a reduced
efficiency of around 75%, while the 4 array reaches
approximately 78%. The 2×2 array presents the minimum
efficiency, close to 71-73%.
Fig. 6. VSWR as a function of frequency.
Fig. 7. Radiation efficiency as a function of frequency.
D. Axial Ratio
A perfectly circularly polarized signal has an axial ratio
equal to 1 (0 dB). Fig. 8 shows the results for the axial ratio
of the different configurations.
The 1×2 array achieves an axial ratio of 0.85 dB at 2.45
GHz, while the 1×4 array provides an even lower value of
0.197 dB at 2.435 GHz. The 2×2 array shows a slightly
higher axial ratio of approximately 1.65 dB at 2.462 GHz.
In contrast, the single antenna exhibits an axial ratio of 2.23
dB, which remains below the 3 dB limit required for
circular polarization and is therefore acceptable.
Fig. 8. Axial ratio as a function of frequency.
E. Useful Bandwidth
The useful bandwidth is defined as the frequency range
that simultaneously satisfies all the technical requirements
specified in Table I. For the antennas in this work, the
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condition of an axial ratio below 3 dB is met alongside the
other requirements.
According to the results summarized in Table VI, the
individual antenna provides a useful bandwidth of 20 MHz.
The 1×2 array shows a slightly improved bandwidth of 22
MHz, while the 1×4 array achieves the widest range at 39
MHz, representing a significant enhancement in operational
bandwidth. The 2×2 array offers a useful bandwidth of 27
MHz, also outperforming the single antenna configuration.
TABLE VI
USEFUL BANDWIDTH
Array
Useful bandwidth
Individual
antenna
(2.442 - 2.462) GHz
20 MHz
1x2
(2.439 - 2.461) GHz
22 MHz
1x4
(2.415 – 2.454) GHz
39 MHz
2x2
(2.444 – 2.471) GHz
27 MHz
F. Radiation Pattern
Fig. 9 shows the far-field radiation patterns for the four
configurations under study. The single antenna exhibits a
half-power beamwidth (HPBW) of 97°. For the 1×2 array,
the HPBW is reduced to 66.6°, while in the 1×4 array it
decreases more sharply to 34.4°, evidencing the expected
directivity enhancement as the number of radiating elements
increases. The 2×2 array presents a HPBW of 68°, which is
consistent with its balanced distribution of radiating
elements.
In all cases, the direction of maximum radiation remains
close to broadside, with no significant deviations. This
confirms that the proposed array configurations preserve the
desired radiation orientation while improving directivity and
narrowing the beamwidth.
A recent study [12] analyzed a Minkowski fractal
antenna with complementary split ring resonators (CSRRs)
embedded in a modified ground plane. The authors reported
substantial improvements in both bandwidth and gain:
maximum measured gain reached approximately 5.2 dB,
and both simulated and experimental results confirmed
more than 2 GHz of operating bandwidth. These findings
highlight that fractal geometries combined with CSRR
structures can effectively enhance bandwidth without losing
consistency between simulation and measurement.
G. Surface Currents
Fig. 10 shows the surface current distribution for the 2×2
array. As observed, the highest intensity is concentrated
along the edges of the radiating patches, a typical behavior
due to edge effects, where charge accumulation is greater.
On the ground plane, the highest current density is
located around the unit cells. This introduced fractal design
modifies the electromagnetic response of the system,
contributing both to the frequency shift of the antenna
resonance and to the generation of circular polarization [9].
The corresponding plots for the other configurations are
not included, as they exhibit qualitatively similar current
distributions.
Fig. 9. Farfield gain with right-hand circular polarization = 0°). (a)
Single antenna. (b) 1×2 array. (c) 1×4 array. (d) 2×2 array.
Fig. 10. Surface currents in the 2×2 array, top and bottom view.
H. Comparison with Literature
The incorporation of a unit cell in the ground planes of
the designed antennas allowed for a reduction of the
resonance frequency through the addition of series or shunt
inductive and capacitive elements, leading to a decrease in
the electrical size of the structure.
The results obtained in this work were compared with
those reported in previous publications and commercial
datasheets. It should be noted that no references of
metamaterial-based arrays were found to enable a direct
comparison.
Table VII presents a comparison of 1×4 configurations.
The design proposed in this work shows a significantly
smaller volume compared to the arrays developed by [14]
and [15]. Although the obtained gain is somewhat lower, the
axial ratio is considerably smaller, indicating purer circular
polarization.
Table VIII compares the proposed 2×2 array with
commercial antenna catalogs. The proposed design operates
at a higher frequency (2.45 GHz), with a considerably
smaller volume and an acceptable axial ratio, although with
lower gain than commercial antennas.
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TABLE VII
COMPARISON OF THE 1X4 ARRANGEMENT WITH THE BIBLIOGRAPHY
Reference
Frequency
(GHZ)
Dimensions (mm)
Surface (cm
2
)
Useful
Bandwidth
Gain
Axial ratio
Gain/ surface
(dBi/ cm
2
)
[14]
2.25 GHz
300 x 160 (3U X 2U)
480
37.3 MHz
9.281 dBi
0.6426 dB
0.019
[15]
2.30 GHz
280 x 65 (2U)
182
152 MHz
10.56 dBi
1.745 dB
0.058
This work
2.464 GHz
48 x 155 (2U)
74.4
39 MHz
5.2 dBi
0.2 dB
0.07
TABLE VIII
COMPARISON OF THE 2X2 ARRANGEMENT WITH THE BIBLIOGRAPHY
Reference
Frequency
(GHZ)
Dimensions (mm)
Surface
(cm
2
)
Useful
Bandwidth
Gain
Axial ratio
Gain/ surface
(dBi/ cm
2
)
[16]
1.98 – 2.20
170 x 170 (2U X 2U)
289
NA
9 dBi
0.5 dB
0.031
[17]
2.220
160 x 160 (2U X 2U)
256
50 MHz
11.5 dBi
NA
0.045
[18]
2.200 – 2.290
172.7 x 172.7 (2U X 2U)
298.3
90 MHz
11 dBic
2 dB
0.038
This work
2.422 and 2.496
75 x 85 (1U)
63.7
27 MHz
5.8 dBi
1.65 dB
0.091
Additionally, Tables VII and VIII report the gain-to-
surface ratio. This metric highlights that the proposed
antennas provide the highest gain per unit area among the
compared designs. For instance, the 1×4 configuration of
this work reaches a ratio of 0.07 dBi/cm², surpassing the
designs of [14] and [15]. Similarly, the proposed 2×2 array
presents a ratio of 0.091 dBi/cm², more than doubling the
values reported for commercial antennas. This underlines
the trade-off between miniaturization and performance,
which is a critical aspect in nanosatellite antenna design due
to the stringent constraints in available size.
An additional observation arising from the review of the
literature is that none of the 2×2 array designs reported in
commercial catalogs are compatible with the geometric
constraints of a 1U nanosatellite. As shown in Table VIII,
all referenced antennas require surfaces on the order of 160
x 160 mm or larger, corresponding to 2U x 2U (4U)
configurations, making their integration unfeasible for 1U
platforms. In contrast, the 2 x 2 array proposed in this work
fits entirely within a 1U footprint (75 x 85 mm),
representing a significant advancement toward compact
circularly polarized arrays suitable for CubeSat-class
spacecraft with strict size limitations.
No references were found in the literature regarding 1×2
arrays with circular polarization operating near 2.45 GHz.
The literature consistently emphasizes that
miniaturization through fractal or metamaterial structures
involves a trade-off: while it reduces physical size and can
improve properties such as circular polarization or
resonance stability, efficiency or gain often suffers. For
instance, in [6] it was showed that the metamaterial array
enhanced resonance stability and efficiency when integrated
with the nanosatellite metallic structure, but the absolute
bandwidth achieved was only ~14.9 MHz in the UHF band.
This illustrates the practical performance limitations when
miniaturization and robustness for space environments are
simultaneously required.
IV. CONCLUSIONS
In this work, different configurations of microstrip
antenna arrays were designed and analyzed with the
incorporation of metamaterial-inspired unit cells etched on
the ground plane. The results obtained highlight the
following points:
- Effective miniaturization: The inclusion of the unit cell
allowed the resonance frequency to be reduced without
increasing the physical size of the antenna, achieving a
significantly smaller volume compared to designs reported
in the literature and commercial antennas.
- Improved circular polarization: All array configurations
achieved axial ratios below 3 dB in the 2.45 GHz band,
fulfilling the requirements for satellite communications. The
arrays exhibited substantially lower axial ratio values than
the single-element antenna, confirming the contribution of
the unit-cell structure to circular polarization generation.
- Trade-off between gain and size: Although the gain of
the proposed arrays is lower than that reported for certain
commercial designs, the achieved balance between
miniaturization, acceptable axial ratio, and reduced volume
positions them as a viable alternative for space-constrained
platforms such as nanosatellites.
- Surface current distribution: The current analysis
showed intensity concentration along the edges of the
radiating patches and around the unit cells in the ground
plane. This behavior confirms the role of the fractal design
in modifying the electromagnetic response of the system.
In summary, the results demonstrate that the use of
metamaterial-based antenna arrays is an efficient technique
for the design of miniaturized antennas with circular
polarization, suitable for low-cost, small-sized space
communication applications. Considering the results of the
simulations shown in Table IX, it can be seen that the 2×2
array offers the highest useful bandwidth and gain while
fitting within the footprint of a 1U CubeSat. Therefore, the
next step of this work is to fabricate a prototype of the
antenna and carry out measurements to experimentally
validate the simulation results.
To strengthen the proposed design, it would be beneficial
to follow the approach of [12], who fabricated physical
prototypes of fractal antennas with CSRRs and
demonstrated good agreement between simulated and
measured results. Accordingly, fabricating at least a single-
element antenna or a module of the proposed array would
allow anechoic chamber measurements of real gain,
Revista elektron, Vol. 9, No. 2, pp. 94-100 (2025)
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efficiency, and axial ratio, as well as an evaluation of
frequency shifts due to fabrication tolerances or mechanical
integration. Moreover, carrying out sensitivity analyses with
±5% variations in dielectric constant or substrate thickness
could help anticipate impedance mismatches or bandwidth
degradation in practical CubeSat implementations.
TABLE IX
PERFORMANCE COMPARISON AT 2.45 GHZ
1x2
1x4
2x2
Useful
bandwidth
22 MHz
39 MHz
27 MHz
Gain
5.1 dBi
5.2 dBi
5.8 dBi
Size
45 x 85 x 0.76
mm
48 x 155 x
0.76 mm
75 x 85 x 0.76
mm
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[16] Commercial Antenna TechApp Consultants Ltd. Datasheet available
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[17] Commercial Antenna IQ spacecom. Datasheet available in
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Revista elektron, Vol. 9, No. 2, pp. 94-100 (2025)
ISSN 2525-0159
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