Share This Article:

Efficient MT-Based Compact FDTD Algorithm for Longitudinally-Magnetized Ferrite-Loaded Waveguides

Abstract Full-Text HTML XML Download Download as PDF (Size:992KB) PP. 16-22
DOI: 10.4236/jemaa.2013.51004    2,950 Downloads   4,919 Views   Citations

ABSTRACT

In this work, a compact finite-difference time-domain (FDTD) algorithm with a memory-reduced technique is proposed for the dispersion analysis of rectangular waveguides either fully or partially loaded with longitudinally-magnetized ferrite. In this algorithm, the divergence theorem is used to eliminate the longitudinal components of the electric and magnetic flux densities. The mobius transform (MT) technique is applied for the first time to obtain the equations relating the magnetic field to the magnetic flux density in a ferrite medium. Some examples are presented to validate the obtained algorithm with numerical results: good agreement is obtained with a significant reduction in the memory space requirement compared to the conventional algorithm.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Benouatas and M. Riabi, "Efficient MT-Based Compact FDTD Algorithm for Longitudinally-Magnetized Ferrite-Loaded Waveguides," Journal of Electromagnetic Analysis and Applications, Vol. 5 No. 1, 2013, pp. 16-22. doi: 10.4236/jemaa.2013.51004.

References

[1] S. Xiao, R. Vahldieck and H. Jin, “Full-Wave Analysis of Guided Wave Structures Using a Novel 2-D FDTD,” IEEE Microwave Guided Wave Letters, Vol. 2, No. 5, 1992, pp. 165-167. doi:10.1109/75.134342
[2] A. Asi and L. Shafai, “Dispersion Analysis of Anisotropic Inhomogeneous Waveguides Using Compact 2D-FDTD,” Electronic Letters, Vol. 28, No. 15, 1992, pp. 1451-1452. doi:10.1049/el:19920923
[3] S. Xiao and R. Vahldieck, “An Efficient 2-D FDTD Algorithm Using Real Variables,” IEEE Microwave Guided Wave Letters, Vol. 3, No. 5, 1993, pp. 127-129. doi:10.1109/75.217204
[4] A. P. Zhao, J. Juntunen and A. V. Raisanen, “Relationship between the Compact Complex and Real Variable 2D FDTD Methods in Arbitrary Anisotropic Dielectric Waveguides,” IEEE MTT-S International Microwave Symposium, Denver, 8-13 June 1997, pp. 83-87.
[5] D. F. P. Pile, “Compact-2D FDTD for Waveguides Including Materials with Negative Dielectric Permittivity, Magnetic Permeability and Refractive Index,” Applied Physics B, Vol. 81, No. 5, 2005, pp. 607-613. doi:10.1007/s00340-005-1916-0
[6] J. J. Hu, G. Ren, X. Yu, G. Wang, P. P. Shum, C. Lu, K. T. V. Grattan and T. Sun, “A Generalized 2D FDTD Model for Photonic Crystal Fibers with Frequency Dependent Media,” Optical and Quantum Electronics, Vol. 39, No. 12-13, 2007, pp. 1133-1143.
[7] P. Dastmalchi, N. Granpayeh and M. R. Disfani, “ThreeDimensional Gap Plasmon Power Splitters Suitable for Photonic Integrated Circuits,” Optical and Quantum Electronics, Vol. 42, No. 4, 2010, pp. 231-239.
[8] M. Fujii and S. Kobayashi, “Accurate Analysis of Losses in Waveguide Structures by Compact Two-Dimensional FDTD Method Combined with Autoregressive Signal Analysis,” IEEE Transactions on Microwave Theory and Techniques, Vol. 44, No. 6, 1996, pp. 970-975.
[9] F. Xu and K. Wu, “A Compact 2-D Finite-Difference Time-Domain Method for General Lossy Guiding Structures,” IEEE Transactions on Antennas and Propagation, Vol. 56, No. 2, 2008, pp. 501-506.
[10] Q. Lu, W. Guo, D. C. Byrne and J. F. Donegan, “Compact 2-D FDTD Method Combined with Padé Approximation Transform for Leaky Mode Analysis,” Journal of Light Wave Technology, Vol. 28, No. 11, 2010, pp. 16381645.
[11] N. Dib and L. Katehi, “Dispersion Analysis of Multilayer Planar Lines Containing Ferrite Regions Using an Extended 2D-FDTD Method,” IEEE Antennas and Propagation Society International Symposium Digest, Ann Arbor, 28 June-2 July 1993, pp. 842-845.
[12] Q. X. Chu, S. F. Zhang and B. Xiong, “A Compact 2-D FDTD Algorithm for the Analysis of Nonreciprocal Ferrite Phase Shifters,” Proceedings of the 3rd IEEE International Conference on Microwave and Millimeter Wave Technology, Beijing, 17-19 August 2002, pp. 1113-1116.
[13] G. D. Kondylis, F. De Flaviis, G. J. Pottie and T. Itoh, “A Memory-Efficient Formulation of the Finite-Difference Time-Domain Method for the Solution of Maxwell Equations,” IEEE Transactions on Microwave Theory and Techniques, Vol. 49, No. 7, 2001, pp. 1310-1320. doi:10.1109/22.932252
[14] G. W. Shao, S.-J. Lai and T. Z. Huang, “Compact 2D Full-Wave Order-Marching Time-Domain Method with a Memory Reduced Technique,” Progress in Electromagnetic Research Letters, Vol. 6, 2009, pp. 157-164. doi:10.2528/PIERL08111811
[15] Y. Yi, B. Chen, W.-X. Sheng and Y.-L. Pei, “A Memory-Efficient Formulation of the Unconditionally Stable FDTD Method for Solving Maxwell’s Equations,” IEEE Transactions on Antennas and Propagation, Vol. 55, No. 12, 2007, pp. 3729-3733. doi:10.1109/TAP.2007.910499
[16] J. A. Pereda, á. Vegas and A. Prieto, “FDTD Modeling of Wave Propagation in Dispersive Media by Using the Mobius Transformation Technique,” IEEE Transactions on Microwave Theory and Techniques, Vol. 50, No. 7, 2002, pp. 1689-1695.
[17] J. A. Pereda, A. Grande, O. González and á. Vegas, “FDTD Modeling of Chiral Media by Using the Mobius Transformation Technique,” IEEE Antennas and Wireless Propagation Letters, Vol. 5, No. 1, 2006, pp. 327-330. doi:10.1109/LAWP.2006.878902
[18] H. Sakli, H. Benzina, T. Aguili and J. W. Tao, “Propagation Constant of a Rectangular Waveguides Completely Full of Ferrite Magnetized Longitudinally,” Journal of Infrared, Millimeter, and Terahertz Waves, Vol. 30, No. 8, 2009, pp. 877-883.
[19] H. A. Elmikati, E. M. Eid, M. M. Abd-elrazzak and I. M. Eldiwani, “Analysis of Rectangular Waveguides Loaded with Longitudinally Magnetized Ferrite,” Proceedings of the 7th IEEE Mediterranean Electrotechnical Conference, Antalya, 12-14 April 1994, pp. 465-468.
[20] S. Ju and H. Kim, “Investigation of an Unconditionally Stable Compact 2D ADI-FDTD Algorithm: Formulations, Numerical Stability, and Numerical Dispersion,” IEEE of Antennas and Propagation Society International Symposium, 16-21 June 2002, San Antonio, pp. 639-642.
[21] P. Ding, G. Wang, H. Lin and B. Z. Wang, “A Compact Unconditionally Stable FDTD Method,” IEEE Antennas and Wireless Propagation Letters, Vol. 5, No. 1, 2006, pp. 520-524.
[22] G. Zhao and Q. H. Liu, “The 2.5-D Multidomain Pseudospectral Time-Domain Algorithm,” IEEE Transactions on Antennas and Propagation, Vol. 51, No. 3, 2003, pp. 619627.
[23] W. Shao, B. Wang, X. Wang and X. Liu, “Efficient Compact 2-D Time-Domain Method with Weighted Laguerre Polynomials,” IEEE Transactions on Electromagnetic Compatibility, Vol. 48, No. 3, 2006, pp. 442-448.
[24] X. Liu, B. Wang and W. Shao, “A Compact 2-D FullWave Algorithm Using Weighted Laguerre Polynomials for Exact Attenuation Constant Extraction of Lossy Transmission Lines,” IEEE of Antennas and Propagation Society International Symposium Albuquerque, 9-14 July 2006, pp. 1215-1218.

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.