[Audio] ECE 695NS: Numerical Simulations of Electro-optic Energy Systems

To increase the absorption of the thin film selective solar absorber, multilayer anti-reflection coating is designed and optimized, which consists a layer of SiO2 followed by TiO2. Local optimization is performed for 20 um Si and at 550C. The optimal thicknesses for SiO2 and TiO2 are found to be 100nm and 50nm respectively, which yields 76.59% thermal transfer efficiency at 100 suns concentration. ...

In this presentation, the analysis of the resonant frequencies and fundamental modes of arbitrarily shaped resonant cavities in three dimensions is explored. An incremental insertion Delaunay triangulation algorithm, a medial axis calculation algorithm, an algorithm for meshing the interior of a domain based on the medial axis, and a fast, GPU-based finite element method algorithm were employed to facilitate the exploration....

Outline:Recap from WednesdayOverview of Coupled Mode TheoryDerivation of Coupled Mode EquatiomsApplications:Single WaveguidesAdd-Drop filtersChannel DropT-SplittersNonlinear Kerr Waveguides

Outline:Inverse Opal Photonic Crystals:Photonic Band StructuresPhotonic Crystal PhosphorsPhoton recycling in PVGaAs thin filmsNanowire solar cellsCharacterization of PV materialsTime-resolved photoluminescencePlasmonic structures

Outline:Quantum Espresso Job File StructureSample Structure: Solid MgPerforming 'scf' CalculationsConverging 'scf' EnergiesPerforming 'relax' Calculations

Outline:Introduction to FDTDSpecial features of MEEP:Perfectly matched layersSubpixel averagingSymmetryScheme (programmable) interfaceExamples:Periodic light-trapping structuresRandom and correlated random textured structurtes

Outline:MEEP InterfacesMEEP ClassesTutorial examples:WaveguideMultimode ring resonatorsIsolating individual resonancesKerr nonlinearitiesQuantifying third-harmonic generationRandom and correlated random textured structures

Outline:Photonic Crystal Waveguides:Photonic BandstructureDefect Resonant ModesWaveguide TransmissionInverse Opal Photonic Crystals:Photonic Band StructuresPhotonic Crystal Phosphors

Outline:Slide 1: Title SlideSlide 2-3: Problem DescriptionSlide 4-5: Mathematical Model FormulationSlide 6-7: Proposed Problem SolutionSlide 8-10: Problem Solution ImplementatiomSlide 11-12: Results and Conclusions

Outline:Periodic Solution StrategyStacked periodicityTransverse periodicityS-Matrix SimulationsS4 RCWA solverCapabilitiesLive demonstration

Outline:Ray-optics transfer matrixWave-optics matrix methodsT-matrixR-matrixS-matrixPeriodic solution strategyStacked periodicityTransverse periodicity

Outline:CAMFRRationaleProblem formulationExamples

Outline:Drift-Diffusion ModelElectronic transport theorySolution schemePoisson solverScharfetter-Gummel schemeNewton's method

Outline:Density Functional Theory (DFT)DFT in Quantum ESPRESSOQuantum ESPRESSO Packages

Outline:Reformulating the EigenproblemSquare Rod Lattice BandstructureTriangular Rod Lattice BandstructurePlotting BandstructuresVisualizing FieldsMaximizing BandgapsDiamond LatticeFinding and Tuning Point Defects

Outline:Drift Diffusion Model Physical EffectsSentaurusApplications:Transistor ModelingIntroduction of Trap StatesEffects of Radiation Strikes

Outline:Static EquilibriumDynamic EquilibriumThermal transport mechanismsThermal transport modeling in MATLAB

Adept 2.0 demo.

Outline:Recap of Drift-DiffusionSolar Cell PhysicsADEPTOverviewInput modalities and optionsOutput data and interpretation

Outline:Fourier AnalysisSampling TheoremDiscrete Fourier TransformsNaïve approachDanielson-Lanczos lemmaCooley-Tukey algorithmVariations of DFTsCorrelation MeasurementsFourier Signal ProcessingFFTWRationalePlanning and Executing DFTsApplication Examples

Outline:Beam Propagation MethodNonlinear Schrodinger EquationFourier space BPMUniform grid BPM with PMLFinite element formulationVectorial BPM mode solver

Outline:Vectorial BPM SolverTunable Photonic Crystal FibersElectro-Optic ModulatorElectro-Optic Switch

Outline:Bandstructure problemBloch's theoremPhotonic bandstructures1D2D

Outline:Bandstructure symmetries2D Photonic bandstructuresPhotonic waveguide bandstructuresPhotonic slab bandstructures3D Photonic lattice types + bandstructures

Outline:Maxwell eigenproblemMatrix decompositionsReformulating the eigenproblemsIterative eigensolversConjugate gradient solversPreconditionersDavidson solversTargeted solvers

Outline:Electrostatics PotentialsSolving Ax = bSpin arraysSolving eigenproblemsBandstructure problemBloch's theoremPhotonic bandstructures1D2D

Outline:Time ScalingExamplesGeneral performance strategiesComputer architecturesMeasuring code speedReduce strengthMinimize array writesProfiling

Outline:OverviewDefinitionsComputing MachinesChurch-Turing ThesisPolynomial Time (Class P)Class NPNon-deterministic Turing machinesReducibilityCook-Levin theoremCoping with NP Hardness

Outline:MotivationMy Background and ResearchTopics for This ClassGoals for This ClassAssignments