Even-Odd Cycled High-Order S-FDTD Method for Maxwell's Equations and Application to Coplanar Waveguides

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dc.contributor.advisorLiang, Dong
dc.creatorSarai, Maninder Kaur
dc.date.accessioned2017-07-27T13:48:50Z
dc.date.available2017-07-27T13:48:50Z
dc.date.copyright2017-04-17
dc.date.issued2017-07-27
dc.date.updated2017-07-27T13:48:50Z
dc.degree.disciplineApplied and Industrial Mathematics
dc.degree.levelMaster's
dc.degree.nameMSc - Master of Science
dc.description.abstractIn this thesis, a new even-odd cycled high-order splitting finite difference time domain scheme for Maxwell's equations in two dimensions is developed. The scheme uses fourth order spatial difference operators and even-odd time step technique to make it more accurate in both space and time. The scheme is energy-conserved, unconditionally stable and very efficient in computation. We analyze in detail the stability, dispersion and phase error for the scheme. We also prove its energy conservation, convergence of high order accuracy and convergence of divergence free approximation. Numerical experiments confirm the theoretical analysis results. Further, the developed scheme is applied to computations of the grounded coplanar waveguides, the elevated CPW and the complex transitions between CPW and rectangular waveguides.
dc.identifier.urihttp://hdl.handle.net/10315/33593
dc.language.isoen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectMathematics
dc.subject.keywordsEven-Odd cycled
dc.subject.keywordsHigh order in time
dc.subject.keywordsDispersion Analysis
dc.subject.keywordsMaxwell's Equations
dc.subject.keywordsEnergy Conservation
dc.subject.keywordsGrounded Coplanar Waveguide.
dc.titleEven-Odd Cycled High-Order S-FDTD Method for Maxwell's Equations and Application to Coplanar Waveguides
dc.typeElectronic Thesis or Dissertation

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