Testing Stability of FDTD in Media Described by Time-Fractional Constitutive Relations

• Published in: 2024 25th International Microwave and Radar Conference (MIKON) pp. 137 - 142
• Main Authors: Trofimowicz, Damian, Stefanski, Tomasz P., Pietruszka, Piotr, Gulgowski, Jacek
• Format: Conference Proceeding
• Language: English
• Published: Warsaw University of Technology 01.07.2024
• Subjects: computational electromagnetics; Electromagnetics; finite difference methods; fractional calculus; Mathematical models; Media; Numerical models; numerical stability; Radar; Stability analysis; Time-domain analysis

We present the procedure that allows one to establish the maximum time-step size guaranteeing stable finite-difference time-domain (FDTD) simulations in media described by time-fractional constitutive relations. The considered relations involve fractional-order (FO) derivatives based on the Grünwald...