Abstract
In this paper, we present an extension of the 3-D FDTD method based on D, E, B and H fields to handle arbitrary anisotropic media characterized by both a permittivity and a permeability tensors. This analysis was not possible for many FDTD simulators due to the lack of convenient absorbing boundary conditions (ABCs). Using the FDTD Method with Generalized Materialindependent perfectly matched-Layer (GMIPLM) ABCs, based on the unsplit formulation, the behavior of the characteristics of microstrip structures printed on general anisotropic dielectric substrates is studied as a function of the optical axis rotation angle of this substrate.
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References
Yee, K. (1966) Numerical Solution of Initial Boundary Value Problems Involving Maxwell’s Equations in Isotropie Media, IEEE Trans. Antennas and Propagation 14, 302–307.
Tafiove, A. (1998) Advances in Computational Electromagnetics: The Finite-Difference Time-Domain Method, Artech House, Boston-London.
Berenger, J. P. (1994) A Perfectly Matched Layer for the Absorption of Electromagnetic Waves, J. comput.Phy. 114, 185–200.
Berenger, J. P. (1997) Improved PML for the FDTD Solution of wave-structure interaction problems, IEEE Trans. Antennas and Propagation 45, pp. 466–473.
Gedney, S. D. (1996) An Anisotropic Perfectly Matched Layer-absorbing Medium for the Truncation of FDTD Lattices, IEEE Trans. Antennas and Propagation 44, pp.1630–1639.
Zhao, A. P. (1998) Unsplit-Field Formulations for Generalised Material Independent PML Absorbers, IEEE MTT-S microwave Symp. Dig. 2, 496–472.
Zhao, A.P. et al. (1999) An Efficient FDTD Algorithm for the analysis of Microstrip Patch Antennas Printed on a General Anisotropie Dielectric Substrate, IEEE Trans. Microwave Theory and Techniques 47, 1142–1146.
Mur, G. (1981) Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time Domain Electromagnetic Field Equations, IEEE Trans. Electromagnetic Compatibility 23, pp. 377–382.
Higdon, R. L. ((1986) Absorbing Boundary Conditions for Difference Approximations to the Multidimensional Wave Equation, Mathematics of Computation 47, pp. 437–459.
Sacks, Z. S., Kingsland, D. M., Lee, R. and Lee, J. F. (1995) A Perfectly Matched Anisotropie Absorber for Use As An Absorbing Boundary Condition, IEEE Trans. Antennas and Propagation 43, pp. 1460–1463.
Chen, Y. and Becker, B. (1993) Dispersion characteristics of Open and Shielded Microstrip Lines Under a Combined Principal Axes Rotation of Electrically and Magnetically Anisotropie Substrates, IEEE Trans. Microwave Theory and Techniques 41.
Sheen, D. M., Ali, S. M., Abouzahra, M. D. and Kong, J. A. (1990) Application of the Three-Dimensional Finite-Difference Time-Domain Method to the Analysis of Planar Microstrip Circuits, IEEE Trans. Microwave Theory and Techniques 38, pp. 849–857.
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© 2002 Springer Science+Business Media Dordrecht
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Essaaidi, M., El Mrabet, O. (2002). Dielectric Substrates Anisotropy Effects on the Characteristics of Microstrip Structures. In: Zouhdi, S., Sihvola, A., Arsalane, M. (eds) Advances in Electromagnetics of Complex Media and Metamaterials. NATO Science Series, vol 89. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1067-2_27
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DOI: https://doi.org/10.1007/978-94-007-1067-2_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1102-3
Online ISBN: 978-94-007-1067-2
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