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Electromagnetic Characterization of Periodic Plasmonic Materials
Alberto Serna Martín
Doctorado en Tecnología Aeroespacial Ingenierías Electromagnética, Electrónica, Informática y Mecánica
Advisor: Ph.D. Luis Landesa Porras 9 de septiembre de 2015
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• Introduction
• Periodic structures and slotFFT
• Acceleration through matrix compression
• Achieved results
• Current lines and near future goals
Outline
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• Method of Moments
• Finite Element Method
• Etc.
Introduction
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• 3x3x3 3,42 GB
Introduction
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• 3x3x3 3,42 GB
• 10x10x3 419,00 GB
Introduction
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• 3x3x3 3,42 GB 1,01 GB (3D)
• 10x10x3 419,00 GB 11,20 GB (3D)
Periodic structures and slotFFT
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• Convergence time
– Cell size
– Number of periodic dimensions
Periodic structures and slotFFT
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• Convergence time
– Cell size
– Number of periodic dimensions
• Upcoming challenges
– Massive number of elements
Periodic structures and slotFFT
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• Convergence time
– Cell size
– Number of periodic dimensions
• Upcoming challenges
– Massive number of elements
• Photonic crystal of 200 elements
– 5 periodic dimensions (1,2TB RAM)
Periodic structures and slotFFT
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• Domain change in Z matrix
Acceleration through matrix compression
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• Domain change in Z matrix
• G matrix
– Describes the way an object radiates energy
– SVD macrobasis
Acceleration through matrix compression
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• Domain change in Z matrix
• G matrix
– Describes the way an object radiates energy
– SVD macrobasis
• Precision – acceleration compromise
Acceleration through matrix compression
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• High precision loss due to the evanescent fields
– Unacceptable in resonating structures
Improving precision through thresholds
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• Self-coupling and adjacent impedance matrices are calculated with MoM
– Determined by the application of a threshold
Improving precision through thresholds
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Achieved results
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• 4x4x4 array of dielectric spheres @ 785nm
– 60/540 macrobasis
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• Study of the precision-acceleration compromise
• Implementation of a new preconditioner to improve convergence speed in periodic structures
• Analysis of real and reference examples
Current lines and near future goals
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Thanks for your attention
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