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serna@unex.es
http://albertosernait.es
@SernaOnline
Electromagnetic Characterization of
Periodic Plasmonic Materials
Alberto Serna Martn
Doctorado en Tecnologa Aeroespacial
Ingenieras Electromagntica, Electrnica, Informtica y Mecnica
Advisor:
Ph.D. Luis Landesa Porras 9 de septiembre de 2015
serna@unex.es
http://albertosernait.es
@SernaOnline
? Introduction
? Periodic structures and slotFFT
? Acceleration through matrix compression
? Achieved results
? Current lines and near future goals
Outline
1
serna@unex.es
http://albertosernait.es
@SernaOnline
? Method of Moments
? Finite Element Method
? Etc.
Introduction
2
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? 3x3x3 ? 3,42 GB
Introduction
3
serna@unex.es
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? 3x3x3 ? 3,42 GB
? 10x10x3 ? 419,00 GB
Introduction
4
serna@unex.es
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@SernaOnline
? 3x3x3 ? 3,42 GB ? 1,01 GB (3D)
? 10x10x3 ? 419,00 GB ? 11,20 GB (3D)
PeriodicstructuresandslotFFT
5
serna@unex.es
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? Convergence time
C Cell size
C Number of periodic dimensions
PeriodicstructuresandslotFFT
6
serna@unex.es
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? Convergence time
C Cell size
C Number of periodic dimensions
? Upcoming challenges
C Massive number of elements
PeriodicstructuresandslotFFT
7
serna@unex.es
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@SernaOnline
? Convergence time
C Cell size
C Number of periodic dimensions
? Upcoming challenges
C Massive number of elements
? Photonic crystal of 200 elements
C 5 periodic dimensions (1,2TB RAM)
PeriodicstructuresandslotFFT
8
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? Domain change in Z matrix
Accelerationthroughmatrixcompression
9
serna@unex.es
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? Domain change in Z matrix
? G matrix
C Describes the way an object radiates energy
C SVD ? macrobasis
Accelerationthroughmatrixcompression
10
serna@unex.es
http://albertosernait.es
@SernaOnline
? Domain change in Z matrix
? G matrix
C Describes the way an object radiates energy
C SVD ? macrobasis
? Precision C acceleration compromise
Accelerationthroughmatrixcompression
11
serna@unex.es
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? High precision loss due to the evanescent fields
C Unacceptable in resonating structures
Improvingprecisionthroughthresholds
12
serna@unex.es
http://albertosernait.es
@SernaOnline
? Self-coupling and adjacent impedance matrices
are calculated with MoM
C Determined by the application of a threshold
Improvingprecisionthroughthresholds
13
serna@unex.es
http://albertosernait.es
@SernaOnline
Achievedresults
14
? 4x4x4 array of dielectric spheres @ 785nm
C 60/540 macrobasis
serna@unex.es
http://albertosernait.es
@SernaOnline
? Study of the precision-acceleration compromise
? Implementation of a new preconditioner to
improve convergence speed in periodic
structures
? Analysis of real and reference examples
Currentlinesandnearfuturegoals
15
serna@unex.es
http://albertosernait.es
@SernaOnline
Thanks for your attention
16

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Electromagnetic Characterization of Periodic Plasmonic Materials