Rémi M. Sarkis
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Focal Plane Antenna Arrays for Astronomic Applications 1
Fast Numerical Methods for the SimulationFocal Plane Array
Rémi SarkisUniversité Antonine, Lebanon
Christophe CraeyeUniversité catholique de Louvain
August 26, 2016
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 2
Introduction
ASM-MBF for Large Array Simulation
Simulation of Large Rectangular Array
ASM for Circular Array Simulation
Simulation of Large Hexagonal Array
Conclusion & Future Works
Index
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 3
Next-generation Radio Telescopes: SKA
SKAAFAD ProjectFocap Plane Array
SKA antennas will extends over thousands
of Kilometers in SA and Australia.
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Grote Reber, built a parabolic, 9.5-m
diameter, reflector dish in his backyard
1937 2016
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 4
Advanced Focal Array Demonstrator
Bruce Veidt (NRC-DRAO, Canada)
Bruce Veidt (NRC-DRAO, Canada)
Goal: Simulation and design of Focal Plane Array of 71 antennas.
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
SKAAFAD ProjectFocap Plane Array
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 5
Large Focal Plane ArrayArray periodic structure construction
5 × 7 antennas polarized along x axis
6 × 6 antennas polarized along y axis.
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
SKAAFAD ProjectFocap Plane Array
Connecting basis functions
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 6
ASM-MBF Goal
GoalPrincipleFormulationValidation
Idea: Compress the MoM matrix using set of current distributions from the solution of smaller problems.
Goal: Large array analysis with Method-of-moments
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 7
ASM-MBF Principle
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationValidation
Infinite simulation
Finite simulation
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 8
ASM-MBF Formulation
Size of Z is (N*M)x(N*M)
Size of Zcompressed is (N*L)x(N*L)
Compression ratio = (M/L)
M = 838
L = 28
Cr= 30
M is the number of basis functions
L is the number of current distributions
N is the number of the array antennas
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationValidation
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 9
ASM-MBF Validation & Discussions
[1] Ozdemir N. A. and Craeye C., Efficient analysis of periodic structures involving finite dielectric material based on the array scanning
method," Int. Conf. on Electromagnetics in Advanced Applications, Torino, Italy, Sept. 14-18, 2009.
[2] C. Craeye, “A fast impedance and pattern computation scheme for finite antenna arrays,” Antennas and Propagation, IEEE Transactions on,
vol. 54,no. 10, pp. 3030 –3034, oct. 2006.
ASM 3x3
3,3x faster
3D Bowtie antenna:
Meshed by M = 180 basis functions
And compressed by ASM (3x3) L = 9
Compression ratio is 20.
We compare the CPU time:
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationValidation
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 10
Potential of 3D TSA
Advantages of Metal only Vivaldi:
Direct feed almost no soldering required.
No dielectric material: dielectric loss elimination.
Host LNA as near as possible to feed: reduced noise level.
Highly modular -> easy upgrade of the system since each element can be treated alone.
Easy to manufacture and mount.
Stability and reproducibility of the array.
Cost becomes fair for mass production.
Layout of 3D TSA
Feed inside the structure
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 11
Feed types investigations
Pin feed with series capacity
Open stub feed
Reflection coefficient
With reference to 85 Ohms
Infinite array simulation
with connecting basis functions
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 12
Optimization of the 3D Vivaldi Antenna
Sweep
thickness
Sweep
balun
Sweep
balun
Reflection coefficient Real part of Z Imag part of Z
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 13
(4x4) ASM current distributions
We extracted 16 current distributions from the ASM simulations.
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Infinite simulation
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 14
Small Finite Array
We extracted 12 current distributions from the simulation of this array.
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Finite Simulation
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 15
71 Antenna Array Simulation Results0.6GHz 1GHz 1.6GHzArray map
H-plane
E-plane
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 16
Truncation Effects at Array Borders
0.6 GHz
1GHz
1.6GHz
Array map
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 17
Simulation vs. MeasurementsS-parameters Simulations vs. measurements
Excellent agreement between the simulation and measurements.
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Design of 3D TSAASM-MBF CalculationFull Array SimulationPrototype & Measurements
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 18
Rectangular Arrays Vs Circular Arrays
18
Less truncation effect at the border of the array.
Advantage of the rotation similarity of the radiation pattern.
Polarimetric advantage using different polarizations.
Rotational symmetry: pattern calibration is made easier.
Periodic sector
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationApplication
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 19
Array Scanning Method (ASM)
Finite array: direct and reflected waves
Generated by
single source Reflected by
array ends
Reflected by array
ends
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationApplication
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 20
ASM for Circular Array
MoM system (N*M)x(N*M) solution is reduced to N*(MxM) systems
N antennas and M basis functions to discretize each antenna,
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationApplication
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 21
Dense Hexagonal Array
21
Periodic element of the array Dense Hexagonal Array
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationApplication
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 22
Outer
22
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
E-plane
(xOz)
H-plane
(yOz)
1GHz 2GHz 3GHz
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationApplication
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 23
Inner
23
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
H-plane
(yOz)
1GHz 2GHz 3GHz
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
0.5 1
30
210
60
240
90 270
120
300
150
330
180
0
E-plane
(xOz)
"to be fixed"
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalPrincipleFormulationApplication
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 2424
Large Hexagonal Array
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 25
ASM-MBF for Large Hexagonal Array
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
2x2 ASM combined with 12 elements finite array
Current error is below 40dB
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 26
Hexagonal Vs. Rectangular Array6390
1
16
44
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
15
42 72
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 2727
Single antenna
Large Hexagonal Array
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
12 element array 90 elements Hexagonal Array
GoalValidationHexagonal Array ResultsRectangular Array Results
Infinite simulation Finite simulation
ASM-MBF
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 28
Center element antenna 15 Pol1
-200 -100 0 100 200-50
-40
-30
-20
-10
0
E-f
ield
(dB
)
(Degree)
Co-pol
Cross-pol
20 40
30
210
60
240
90 270
120
300
150
330
180
0
-7dB Beamwidth = 160
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 29
20 40
30
210
60
240
90 270
120
300
150
330
180
0
Center element antenna 42 Pol2
-200 -100 0 100 200-50
-40
-30
-20
-10
0
E-f
ield
(dB
)
(Degree)
Co-pol
Cross-pol
-7dB Beamwidth=153
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 30
Center element antenna 72 Pol3
20 40
30
210
60
240
90 270
120
300
150
330
180
0
-200 -100 0 100 200-50
-40
-30
-20
-10
0
E-f
ield
(dB
)
(Degree)
Co-pol
Cross-pol
-7dB Beamwidth=150
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 3131
Large Rectangular Array
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
Single antenna 12 elements array
GoalValidationHexagonal Array ResultsRectangular Array Results
63 elements rectangular array
Infinite antenna Finite antenna
ASM-MBF
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 32
Center element 16 Pol1
-200 -100 0 100 200-60
-50
-40
-30
-20
-10
0
E-f
ield
(dB
)
(Degree)
Co-pol
Cross-pol
20 40
30
210
60
240
90 270
120
300
150
330
180
0
-7dB Beamwidth =126deg
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 33
Center element 44 Pol2
-7dB Beamwidth=147deg
-200 -100 0 100 200-50
-40
-30
-20
-10
0
E-f
ield
(dB
)
(Degree)
Co-pol
Cross-pol
20 40
30
210
60
240
90 270
120
300
150
330
180
0
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
GoalValidationHexagonal Array ResultsRectangular Array Results
Rémi M. Sarkis Focal Plane Antenna Arrays for Astronomic Applications 3434
Conclusion
We presented ASM-MBF for the simulation of Large Focal Plane Array
Link between ASM and Block circulant matrix solution.
Novel design of 3D Vivaldi antenna
Light weight of the antenna.
Precise fabrication technology.
Suitable to host LNA.
Study of different circular array structures
Dense and Concentric Hexagonal arrays.
Easier Calibration: Radiation pattern can be compensated.
IntroductionASM-MBF for Large Array Simulation
Simulation of Large Rectangular ArrayASM for Circular Array Simulation
Simulation of Large Hexagonal ArrayConclusion & Future Works
ConclusionFuture Works
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