Understanding the Finite-Difference Time-Domain method

Understanding the Finite-Difference Time-Domain method

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时间:2019-06-01

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1、UnderstandingtheFinite-DifferenceTime-DomainMethodJohnB.SchneiderFebruary24,2014iiContents1NumericArtifacts71.1Introduction......................................71.2FinitePrecision....................................81.3SymbolicManipulation...................

2、.............112BriefReviewofElectromagnetics132.1Introduction......................................132.2Coulomb’sLawandElectricField..........................132.3ElectricFluxDensity.................................152.4StaticElectricFields..................

3、...............172.5Gradient,Divergence,andCurl............................182.6Laplacian.......................................212.7Gauss’sandStokes’Theorems............................242.8ElectricFieldBoundaryConditions.........................252.9Conduct

4、ivityandPerfectElectricConductors....................252.10MagneticFields....................................262.11MagneticFieldBoundaryConditions.........................272.12SummaryofStaticFields...............................272.13TimeVaryingFields.......

5、...........................282.14SummaryofTime-VaryingFields..........................292.15WaveEquationinaSource-FreeRegion.......................292.16One-DimensionalSolutionstotheWaveEquation.................303IntroductiontotheFDTDMethod333.1Introduction.

6、.....................................333.2TheYeeAlgorithm..................................343.3UpdateEquationsin1D...............................353.4ComputerImplementationofaOne-DimensionalFDTDSimulation...................................393.5Bare-BonesSimu

7、lation................................413.6PMCBoundaryinOneDimension..........................443.7SnapshotsoftheField.................................453.8AdditiveSource...................................483.9TerminatingtheGrid...............................

8、..503.10Total-Field/Scattered-FieldBoundary........................53iiiivCONTENTS3.11Inhomogeneities...................................603.12LossyMaterial................................

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