Document Type
Dissertation
Date of Award
Fall 1-31-2005
Degree Name
Doctor of Philosophy in Applied Physics - (Ph.D.)
Department
Federated Physics Department
First Advisor
Haim Grebel
Second Advisor
John Francis Federici
Third Advisor
Edip Niver
Fourth Advisor
Richard V. Snyder
Fifth Advisor
Daniel Ely Murnick
Sixth Advisor
Andrei Sirenko
Abstract
The Finite-Difference Time-Domain (FDTD) method and Finite-Element (FEM) method are numerical techniques used for solving Maxwell's electromagnetic equations. FDTD-FEM hybrid methods opt for combining the advantages of both FDTD and FEM. In this dissertation, signal processing techniques were used to analyze the FDTD stability condition. A procedure, which reduces time-sampling error yet preserves the stability of algorithm is proposed. Both explicit and implicit time-stepping schemes were treated in the framework of the developed method. An improved version of the implicit-explicit FEM-FDTD hybrid method was developed. The new method minimizes reflection from the interface between different types of grids. A class of transfer functions with low reflection error for stable hybrid time-stepping was derived. The stability of the method is rigorously proven for a general three-dimensional case.
Recommended Citation
Abdijalilov, Kakhkhor, "Hybrid explicit-implicit FDTD-FEM time-domain solver for electromagnetic problems" (2005). Dissertations. 663.
https://digitalcommons.njit.edu/dissertations/663
