Three Dimensional Frequency Dependent Additive Operator Splitting FDTD Method

  • Mario Parreno Centeno

Student thesis: Master of Philosophy


The Finite-Difference Time-Domain (FDTD) method is a numerical analysis technique used for the simulation of electromagnetic (EM) phenomena. It is one of the most popular computational techniques for modelling the behaviour of electromagnetic waves. As an explicit method, the FDTD scheme is constrained by the Courant-Friedrichs-Lewy (CFL) stability condition, which limits the time step that can be used to obtain stable and accurate simulation results. It can be an important disadvantage for modelling specific scenarios such as large computational EM problems or problems where very fine meshes, compared to the electrical wavelength required. This leads to longer simulation time requiring larger computational requirements. In order to overcome this problem, implicit FDTD methods are an alternative. Numerous researches have been carried out so as to develop schemes to provide the computational stability beyond the limit of the CFL condition. In this Thesis, an Additive Operator Splitting (AOS) FDTD method has been introduced.
Date of Award31 Dec 2015
Original languageEnglish
Awarding Institution
  • The University of Manchester
SupervisorFumie Costen (Supervisor) & John Oakley (Supervisor)


  • Frequency Dependent Additive Operator Splitting Finite Difference Time Domain method
  • FD AOS FDTD method;

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