Antenna Toolbox for Matlab (AToM) M. Capek, P. Hazdra, M. Mazanek, Z. Raida, J. Rymus...

Antenna Toolbox for Matlab(AToM)

M. Capek, P. Hazdra, M. Mazanek, Z. Raida, J. Rymus

miloslav.capek@fel.cvut.cz

hazdrap@fel.cvut.cz

CZECH TECHNICAL UNIVERSITY IN PRAGUEFACULTY OF ELECTRICAL ENGINEERING

DEPARTMENT OF ELECTROMAGNETIC FIELDTECHNICKÁ 2, 166 27 PRAHA 6, CZECH REPUBLIC

www.antennatoolbox.com info@antennatoolbox.com

History of the toolbox• 2008: First software for Method of Moments + Characteristic Modes developed

(master thesis of Pavel Hamouz)• since 2009: Further work within the Ph.D. study of Miloslav Capek and Jan Eichler

2008 version 2014 version

Characteristic Modes

𝒁=𝑹+ 𝑗 𝑿 Complex MoM impedance matrix obtained by Galerkin method

𝐹 ( 𝑱 )= ⟨ 𝑱 , 𝑿𝑱 ⟩⟨ 𝑱 ,𝑹𝑱 ⟩

=reactive powerradiated power 𝑿 𝑱 𝑛=𝜆𝑛𝑹 𝑱 𝑛

𝑱 𝑛

𝜆𝑛

characteristic currents

eigenvalues

1 2 3 4 5 6 7 8 9 10

𝛻 ∙ 𝑱 ≠0

𝛻 ∙ 𝑱=0

Characteristic Modes

)(JAJ jL structure input

XjRZ nnn RX JJ

iEZJ 1i

Jn λnEi

EFIE core

modal decomposition

n excitation

modal superposition

𝑱=𝒁−1𝑬𝑖=∑𝑛=1

𝑁 ⟨ 𝑱 𝑛 ,𝑬𝑖 ⟩

1+ 𝑗 𝜆𝑛

𝑱𝑛=∑𝑛=1

𝛼𝑛 𝑱 𝑛

Total current expressed as linear superposition of eigen currents

For small antennas usually few modes are important great physical

insight into operation of antenna

The Antenna toolbox 2014-2017

• funding from the Technology Agency of the Czech Republic received

The Team

CTU FEE in PragueBrno University of TechnologyMECAS ESI Pilsen

+ 5 MSc. / Ph.D. students

• Project management – IceScrum: distribution of tasks between team members• Version management – GIT• Code testing – Matlab unitTest Framework + Jenkins

• method of moments core for 3D planar and wire structures• characteristic mode decomposition using Arnoldi and QZ method. Robust tracking.• Parallel / Distributive solvers, adaptive frequency sweep• accept other codes from the community - semiopen MATLAB architecture• pattern / feeding network synthesis• optimization (FOPS – Fast Optimization ProcedureS), multi-objective PSO, SOMA• utilization of the source concept antenna can be completely described by its

geometry and current (charge) density.

Features

Structural decomposition

• Input impedance• Radiation pattern• Farfield correlation• Quality factor• Radiation efficiency

Modal / Total quantities!

feeding network synthesis

Features

AToM Workspace enables users to define their own parameters and hence make simple parametric design of simulated structure. Drawn geometry interactively reacts on changes in Workspace parameters definitions which makes design more pleasant. During work the Workspace is automatically deposited into HDF file for future reopening of the project.

HDF File format

FeaturesGeometry + mesh module

• Antenna models• Geometry transformations• NEC import

Features

FeaturesFOPS optimizer

• Single/multicriteria/multidimensional optimization

• Particle Swarm (PSO)• Self Organizing Migrating Alg. (SOMA)

Measurable stored energies

𝑍= 𝑗30𝑘|𝐼|2

∬𝑉 𝑉 ′

[𝑘2 𝑱 (𝒓 ) ⋅ 𝑱 (𝒓 ′)∗−𝛻⋅ 𝑱 (𝒓 )𝛻⋅ 𝑱 (𝒓 ′)∗ ] 𝑒− 𝑗𝑘𝑅

𝑅𝑑𝑉𝑑𝑉 ′

Input impedance expressed in current density

𝜕𝑍𝜕𝑘

=𝑊𝑚𝑒+�̂� 𝑟+�̂�𝑘

Analytical derivation produces three energy terms

𝑄𝑍=𝜔2𝑅|𝜕 𝑍𝜕𝜔|= 𝑘

2𝑅|�̂�𝑚𝑒+𝑊 𝑟+𝑊 𝑘|

Example of feeding synthesis

𝑱=𝒁−1𝑬𝑖=∑𝑛=1

𝑁 ⟨ 𝑱 𝑛 ,𝑬𝑖 ⟩

1+ 𝑗 𝜆𝑛

𝑱𝑛=∑𝑛=1

𝛼𝑛 𝑱 𝑛

Modal currents modal radiated powers and stored energies

For given structure, total quantities depend only on position of feeding point(s) and excitation coefficients. The situation can be described by

matrix equations with self and mutual powers and energies

Total radiated power=Trace {[𝛽𝑚𝑛 ]∘ [𝑃𝑚𝑛 ] }

The matrix represents coupling of external world to the antenna modes

Modal decomposition of dual-PIFA with polarization diversity

100 x 40 mm

++++ +++- +-

V V V V VH H H H H

Design by Cyril Luxey

WWW.ANTENNATOOLBOX.COM

THANK YOUFOR YOUR ATTENTION

SUPPORTED BY

• Capek, M., Hazdra, P., Eichler, J., "A Method for the Evaluation of Radiation Q Based On Modal Approach," IEEE Trans. Antennas Propag., vol 60, no. 10, p. 4556–4567, 2012.

• Capek, M., Hamouz, P., Hazdra, P., Eichler, J., "Implementation of the Theory of Characteristic Modes in Matlab," IEEE Antennas Propag. Magazine, vol 55, no. 2, p. 176–189, 2013.

• Capek, M., Eichler, J., Hazdra, P., “Evaluating Radiation Efficiency from Characteristic Currents," IET-MAP, vol 9, no. 1, p. 10–15, 2015.

Antenna Toolbox for Matlab (AToM) M. Capek, P. Hazdra, M. Mazanek, Z. Raida, J. Rymus...

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