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Page 1: Computer Modeling of Modern Antenna Arrays

Computer Modeling of Modern Antenna ArraysMarinos N. Vouvakis

Page 2: Computer Modeling of Modern Antenna Arrays

Obtain Transfer Fn of Building Block (FETI)

Problem Partitioning in Domains*

Adaptive Mesh Refinement on

Building Blocks

Construct Domains

Using Building Blocks*

Connect Domains using “cement”

technique & Outer Loop DDM Iteration

Extract Engineering Info. Antenna Pattern, Impedance,

Q Factors, etc

Recover Fields from Reduced Surface Unknowns for Each

Domain

*Domain is a translation invariant instance of a Building

Block.

Analysis OverviewHigher Order FEM–Tree-Cotree–pMUS–hAMR–DD–Cement–FETI

Page 3: Computer Modeling of Modern Antenna Arrays

x

y

zθ=30º

φ=90º

d=7.9λ

300×300

Single Polarized

16×16 ×2

Finite Arrays of Vivaldi Tapered Slot AntennasSimulation over 900 million unknowns of very complicated geometry

HFSS infinite array prediction

DD-FEM prediction

1 billion FEM unknowns on a PC in 1 day.

Dual Polarized

Good agreement with commercial simulators

Page 4: Computer Modeling of Modern Antenna Arrays

Scan

dire

ctio

n

G0=23.31dBi (Simulated)G0=23.44dBi (Measured)

Scan dirzection

24×12 RADAR Sub-array ModuleDomain Decomposition FEM vs. Measurements

Good agreement with measurements (impedance too)

Page 5: Computer Modeling of Modern Antenna Arrays

≈17dB

Scattering of Patch Arrays on Finite DielectricParametric Studies

≈22dB≈12dB

Geometry

Effect of Array Size Effect of Array Shape

Effect of Element Loading

Page 6: Computer Modeling of Modern Antenna Arrays

0° scan

x

y

z

Active Reflection Coeff.Near & Far Fields

x

y

z

Finite Patch Arrays on Truncated CylindersDD-FEM for Curved Structures (Rotational Symmetry)

Page 7: Computer Modeling of Modern Antenna Arrays

60° H-scan

x

y

z

x

y

z

Planar vs. Cylindrical Finite Patch ArraysFor Small Radius Radiation by Planar and Cylindrical Arrays is Different

Finite Planar Array Finite Cylindrical Array

Page 8: Computer Modeling of Modern Antenna Arrays

xy

xz

(TTVG-800)

(TTVG-800)

Active Reflection Coeff.

Near & Far Fields

Magnitude Phase

Geometry.

Finite Arrays of Ferrite Loaded CBS ArraysDD-FEM for anisotropic non-reciprocal materials

Arrays involving complex material simulated in PCs within few hours

Page 9: Computer Modeling of Modern Antenna Arrays

−15

−10

−5

0

5

10

0

30

60

90

120

150

180180

150

120

90

60

30

Top View —1.5λ away

Back View —1.5λ away

PEC

Ground Plane

AM

C G

roun

d Pl

ane

Back View —1.5λ away

Top View —1.5λ away

PEC Ground PlaneAMC Ground Plane

Monopole Radiation over EBGSimulation of 39 million unknowns

Page 10: Computer Modeling of Modern Antenna Arrays

Teflon Lens

Split Ring LensNegative Refraction Lens

Geometry (Top View)

Metamaterial Plano-concave Lens3D simulation of 50 million unknowns, Very challenging geometry

Page 11: Computer Modeling of Modern Antenna Arrays

Memory=4.5 GbElectric size ≈ 60λ×12λ×8λInitial h=λ/6h-AMR steps 3Iterations=39#Unkowns=3,838,554Solution Time- 7.6 hours

E

E

Scattering by BattleshipDomain Decomposition FEM-BEM Hybrid


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