Browsing by Author "Topuz, Ercan"

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Citation Count: 2
Finite difference time domain formulation for epsilon-negative medium using wave equation
(Wiley, 2016) Pekmezci, Aysegul; Topuz, Ercan; Sevgi, Levent
A novel approach utilizing one-dimensional (1D) wave equation based finite difference time domain (FDTD) formulations for Lorentz-type Epsilon-Negative (ENG) medium is developed. To demonstrate the validity and accuracy of the formulation, reflection of a plane wave normally incident at free spaceENG interface is compared with the analytical solution. Moreover, propagation characteristics of Lorentz-type ENG medium is investigated using the FDTD formulations both for wave equation and Maxwell's curl equations in 1D case. Comparisons of memory and computational time requirements of both formulations are given. (c) 2016 Wiley Periodicals, Inc. Int J RF and Microwave CAE 26:304-310, 2016.
Citation Count: 0
First and Second Order Mur Type ABCs for DNG Media
(Applied Computational Electromagnetics Soc, 2018) Pekmezci, Aysegul; Topuz, Ercan; Sevgi, Levent
Reflections from boundaries of the FDTD computational domain lead to inaccurate, even unstable codes when dealing with problems involving double negative (DNG) materials. Here, an efficient and simple algorithm is presented for terminating FDTD in DNG medium which is based on first and second order Mur's absorbing boundary conditions (ABC). FDTD update equations for Mur's ABC formulations are obtained from frequency domain one-way wave equations using piecewise linear recursive convolution (PLRC) method. Numerical examples are given both for 1D and 2D scenarios to demonstrate the validity and stability of the proposed Mur formulations, and its advantages over uniaxial perfectly matched layer (UPML) in reducing computational time and memory requirements.