Abstract
The suitability of the finite-difference time-domain (FDTD) method for electromagnetic modelling in the presence of independently-time-varying materials is investigated. Two examples are given and results compared to those obtained using other theoretical approaches.
Similar content being viewed by others
References
P. T. Landsberg, Seeking Ultimates : An Intuitive Guide to Physics (Institute of Physics Publishing, 2001).
F. de Flaviis, N. G. Alexopoulos, and O. M. Stafsudd, Planar microwave integrated phase-shifter design with high purity ferroelectric material. IEEE Trans. Microwave Theor. Tech. MTT-45(6), 963–969 (1997), June.
J. D. Arnold, R. Gary, and A. Vilcot, 3D photo-induced load modeling for optically controlled microwave microstrip line. Microw. Opt. Technol. Lett. 40(5), 356–359 (2004), March.
R. E. Horn, H. Jacobs, E. Freibergs, and K. L. Kohn, Electronic modulated beam-steerable silicon waveguide array antenna. IEEE Trans. Microwave Theor. Tech. MTT-28(6), 647–653 (1980), June.
V. K. Varadan, V. V. Varadan, K. A. Jose, and J. F. Kelly, Electronically steerable leaky wave antenna using a tunable ferroelectric material. Smart Mater. Struc. 3, 470–475 (1994).
V. K. Varadan, K. A. Jose, and V. V. Varadan, Design and development of electronically tunable microstrip antennas. Smart Mater. Struc. 8, 238–242 (1999).
K. S. Yee, Numercial solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas Propagat. 14, 302–307 (1966), Sept.
A. Taflove, and S. C. Hagness, Computational Electrodynamics : The Finite-Difference Time-Domain Method, 2nd Ed.(Artech House Inc., 2000).
F. R. Morgenthaler, Velocity Modulation of Electromagnetic Waves. IRE Trans. Microwave Theor. Tech. 6, 167–172 (1958), Apr.
L. Felsen, and G. M. Whitman, Wave propagation in time-varying media. IEEE Trans. Antennas Propag. 18, 242–253 (1970), (March).
R. L. Fante, Transmission of Electromagnetic Waves into Time-Varying Media. IEEE Trans. Antennas Propag. 19, 417–424 (1971), May.
C. Jiang, Wave propagation and dipole radiation in a suddenly created plasma. IEEE Trans. Antennas Propag. 23(1), 83–90 (1975), Jan.
J. C. Simon, Action of a progressive disturbance on a guided electromagnetic wave. IRE Trans. Microwave Theor. Tech. 8, 18–29 (1960), Jan.
E. S. Cassedy, and A. A. Oliner, Dispersion relations in time-space periodic media : Part I – Stable interactions. Proc. IEEE. 51, 1342–1359 (1963), Oct.
A. Hessel, and A. A. Oliner, Wave propagation in a medium with a progessive sinusoidal disturbance. IRE Trans. Microwave Theor Tech. 6, 337–343, (1961), July.
D. E. Holberg, and K. S. Kunz, Parametric Properties of Fields in a Slab of Time- Varying Permittivity. IEEE Trans. Antennas Propag. 14, 183–194 (1966) March.
T. Ruiz, L. Wright, and J. Smith. Characteristics of Electromagnetic Waves Propagating in Time Varying Media. IEEE Trans. Antennas Propag. 26, 358–361 (1978), Mar.
C. Elachi, Dipole antenna in space-time periodic media. IEEE Trans. Antennas Propag. 20, 280–287 (1972), May.
A. G. Nerukh, I. V. Scherbatko, and D. A. Nerukh, Using evolutionary recursion to solve an electromagnetic problem with time-varying parameters. Microw. Opt. Technol. Lett. 14(1) 3136 (1997), Jan.
A. G. Nerukh, I. V. Scherbatko, and M. Marciniak, The possible mechanism for a frequency shift by a time-varying of medium features. J. Telecommun. Inf. Technol. 1, 46–51 (2000).
D. K. Kalluri, Effect of switching a magnetoplasma medium on a travelling wave : Longitudinal propagation. IEEE Trans. Antennas Propag., 37(12) 1638–1642 (1989), Dec.
G. D. Taylor, D. H. Lam, and T. H. Shumpert, Electromagnetic Pulse Scattering in Time-Varying Inhomogeneous Media. IEEE Trans. Antennas Propag. 17, 585–589 1969, Sept.
F. A. Harfoush, and A. Taflove, Scattering of electromagnetic waves by a material half-space with a time-varying conductivity. IEEE Trans. Antennas Propag. 39(7), 898–906 (1991), July.
J. H. Lee, D. K. Kalluri, and G. C. Nigg, FDTD simulation of electromagnetic transformation in a dynamic magnetised plasma. Int. J. Infrared Millim. Waves 21, 1223–1253 (2000), August.
D. K. Kalluri, J. H. Lee, and M. M. Ehsan, FDTD simulation of electromagnetic pulse interaction with a switched plasma slab. Int. J. Infrared Millim. Waves, 24, 349–365 (2003), March.
D. M. Sillivan, Electromagnetic Simulation Using the FDTD Method (IEEE Press, 2000).
A. Esposito, and L. Tarricone, Grid Computing for Electromagnetics (Artech House, 2004).
W. Sui, Time-Domain Computer Analysis of Non-Linear Hybrid Systems (CRC Press, 2001).
A. Zhao, and V. Raisanen, Application of a simple and efficient source excitation technique to the FDTD analysis of wave guide and microstrip circuits. IEEE Trans. Microwave Theor. Tech. 44, 1535–1539 (1996), Sept.
B. Boashash, Estimating and interpreting the instantaneous frequency of a signal – Part 2: Algorithms and applications. Proc. IEEE 80(4) 540–568 (1992), April.
The MATLAB package of The MathWorks, Inc., USA.
M. R. Zunoubi, K. C. Donepudi, J. Jin, and W. C. Chew, Efficient time-domain and frequency-domain finite-element solution of Maxwell’s equations using spectral Lanczos decomposition method. IEEE Trans. Microwave Theor. Tech. 46(8), 1141–1149 (1998), Aug.
Y. Qian, and T. Itoh, FDTD Analysis and Design of Microwave Circuits and Antennas (Realize Inc.,1999).
K. S. Yee, D. Ingham, and K. Shager, Time domain extrapolation to the far fields based on FDTD calculations. IEEE Trans. Microwave Theor. Tech. MTT-39, 410–413 (1991), Mar.
R. J. Luebbers, K. S. Kunz, M. Schneider and F. Hunsberger, A finite-difference time-domain near zone to far zone transformation. IEEE Trans. Antennas Propag. 39(4), 429–435 (1991), April.
R. F. Harrington, Time-Harmonic Electromagnetic Fields (McGraw-Hill, 1961).
“IE3D User’s Manual”, Zeland Software Inc., 48834 Kato Road - Suite 103A, Fremont, CA 94538, USA.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, X., McNamara, D.A. The Use of the FDTD Method for Electromagnetic Analysis in the Presence of Indepedently Time-Varying Media. Int J Infrared Milli Waves 28, 759–778 (2007). https://doi.org/10.1007/s10762-007-9251-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10762-007-9251-7