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ECE 595E Lecture 21: 3D Bandstructures
Online Presentations | 19 Mar 2013 | Contributor(s):: Peter Bermel
Outline:Recap from MondayBandstructure Symmetries2D Photonic BandstructuresPeriodic Dielectric WaveguidesPhotonic Crystal Slabs
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ECE 595E Lecture 22: Full 3D Bandgaps
Online Presentations | 06 Mar 2013 | Contributor(s):: Peter Bermel
Outline:Recap from Wednesday3D Lattice TypesFull 3D Photonic Bandgap StructuresYablonoviteWoodpileInverse OpalsRod-Hole 3D PhCs
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ECE 595E Lecture 23: Electronic Bandstructures
Online Presentations | 27 Mar 2013 | Contributor(s):: Peter Bermel
Outline:3D Lattice TypesFull 3D Photonic Bandgap StructuresYablonoviteWoodpileInverse OpalsRod-Hole 3D PhCs
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ECE 595E Lecture 24: Electronic Bandstructure Simulation Tools
Online Presentations | 19 Mar 2013 | Contributor(s):: Peter Bermel
Outline:Electronic bandstructure labBasic PrinciplesInput InterfaceExemplary OutputsDensity functional theory (DFT)DFT in Quantum ESPRESSO
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ECE 595E Lecture 25: Further Bandstructure Simulation Tools
Online Presentations | 21 Mar 2013 | Contributor(s):: Peter Bermel
Outline:Recap from WednesdayPeriodic Potential LabBasic principlesInput InterfaceExemplary OutputsCNTbandsBasic principlesInput InterfaceExemplary Outputs
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ECE 595E Lecture 26: Overview of Transfer Matrix Methods
Online Presentations | 26 Mar 2013 | Contributor(s):: Peter Bermel
Outline:Ray-optics transfer matrixWave-optics matrix methods:T-matrixR-matrixS-matrix
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ECE 595E Lecture 27: S-Matrix Methods
Online Presentations | 26 Mar 2013 | Contributor(s):: Peter Bermel
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ECE 595E Lecture 28: S-Matrix Computations
Online Presentations | 08 Apr 2013 | Contributor(s):: Peter Bermel
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ECE 595E Lecture 29: Eigenmode Layered Computations (CAMFR)
Online Presentations | 28 Mar 2013 | Contributor(s):: Peter Bermel
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ECE 595E Lecture 2: Problems in Numerical Computing
Online Presentations | 11 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Overall GoalsFinding Special ValuesFourier TransformsEigenproblemsOrdinary Differential EquationsPartial Differential Equations
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ECE 595E Lecture 30: Applications of CAMFR
Online Presentations | 08 Apr 2013 | Contributor(s):: Peter Bermel
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ECE 595E Lecture 32: Simulations of Coupled Mode Theory Simulation (CMT)
Online Presentations | 12 Apr 2013 | Contributor(s):: Peter Bermel
Outline:Recap from FridayNumerical ODE solversInitial value problemsBoundary value problemsnanoHUB Tool – CMTcomb3:RationaleGoverning ODEsUser interfaceOutput analysis
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ECE 595E Lecture 33: Introduction to Finite-Difference Time-Domain Simulations
Online Presentations | 12 Apr 2013 | Contributor(s):: Peter Bermel
Outline:Recap from MondayIntroduction to FDTDSpecial features of MEEP:Perfectly matched layersSubpixel averagingSymmetryScheme (programmable) interfaceExamples:Periodic light-trapping structuresRandomly textured structures
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ECE 595E Lecture 3: Computability
Online Presentations | 17 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Overview • DefinitionsComputing MachinesChurch-Turing ThesisPolynomial TimeExample
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ECE 595E Lecture 4: NP-hardness
Online Presentations | 17 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from FridayClass NPNon-deterministic Turing machinesReducibilityCook-Levin theoremCoping with NP Hardness
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ECE 595E Lecture 5: Linear Algebra
Online Presentations | 18 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from MondayOverview: Computational Linear AlgebraGaussian EliminationLU DecompositionSingular Value DecompositionSparse MatricesQR Decomposition
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ECE 595E Lecture 6: Finding Special Values
Online Presentations | 29 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from WednesdayRoot FindingBisectionNewton-Raphson methodBrent’s methodOptimizationGolden Section SearchBrent’s MethodDownhill SimplexConjugate gradient methodsMultiple level, single linkage (MLSL)
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ECE 595E Lecture 7: Optimization and Eigenvalues
Online Presentations | 29 Jan 2013 | Contributor(s):: Peter Bermel
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ECE 595E Lecture 8: Eigenvalues
Online Presentations | 29 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from WednesdayEigenproblem Solution TechniquesPower MethodsInverse IterationAtomic TransformationsFactorization Methods
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ECE 595E Lecture 9: Programming for Linear Algebra
Online Presentations | 01 Feb 2013 | Contributor(s):: Peter Bermel
Outline:Recap from FridayApplication ExamplesElectrostatic potential (Poisson’s equation)1D array of charge2D grid of chargeArrays of interacting spins1D interaction along a chain2D nearest-neighbor coupling