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2017-01-10
Modal Analysis of Rectangular Waveguides with 2D Metamaterials
By
Progress In Electromagnetics Research C, Vol. 70, 165-173, 2016
Abstract
A new method to rapidly design 2D metamaterials for rectangular waveguides by rebuilding their dispersion properties is proposed. The Modal Expansion Theory (MET) is revisited for theoretical surfaces with fixed surface impedances ZS. Then, it is pursued for real dispersive anisotropic surfaces, which have surface impedances that are dependent on the frequency and the incidence angle. An algorithm which calculates the correct incidence angle of the guided electromagnetic mode at each frequency is presented. By including this algorithm in the MET and by combining it with a code based on the Finite Element Method (FEM) to calculate the surfaces impedances, dispersion diagrams of waveguides with real 2D anisotropic walls are correctly rebuilt. This is validated by comparing the results for two different metamaterials, corrugation- and T-structure, corrugations and metamaterials, with those obtained using a commercial software.
Citation
Benedikt Byrne, Nathalie Raveu, Nicolas Capet, Gwenn Le Fur, and Luc Duchesne, "Modal Analysis of Rectangular Waveguides with 2D Metamaterials," Progress In Electromagnetics Research C, Vol. 70, 165-173, 2016.
doi:10.2528/PIERC16092904
References

1. Pollock, J. G. and A. K. Iyer, "Below-cutoff propagation in metamaterial-lined circular waveguides," IEEE Trans. Microw. Theory Techn., Vol. 61, No. 9, 3169-3178, September 2013.
doi:10.1109/TMTT.2013.2274780

2. Pollock, J. G. and A. K. Iyer, "Experimental verification of below-cutoff propagation in miniaturized circular waveguides using anisotropic ENNZ metamaterial liners," IEEE Transactions n Microwave Theory and Techniques, Vol. 64, No. 4, 1297-1305, April 2016.
doi:10.1109/TMTT.2016.2532872

3. Capolino, F., Applications of Metamaterials, CRC Press, ISBN 9781420054231, 2009.

4. Engheta, N. and R. W. Ziolkowski, Metamaterials: Physics and Engineering Explorations, Wiley- IEEE Press, ISBN 9780471761020, 2006.

5. Pollock, J. G. and A. K. Iyer, "Miniaturized circular-waveguide probe antennas using metamaterial liners," IEEE Trans. Antennas Propag., Vol. 63, No. 1, 428-433, January 2015.
doi:10.1109/TAP.2014.2367551

6. Wu, Q., M. D. Gregory, D. H. Werner, P. L. Werner, and E. Lier, "Nature-inspired design of soft, hard and hybrid metasurfaces," 2010 IEEE Antennas and Propagation Society International Symposium (APSURSI), 1-4, Toronto, Canada, July 2010.

7. Lier, E., "Review of soft and hard horn antennas, including metamaterial-based hybrid-mode horns," IEEE Antennas Propagat. Mag., Vol. 52, No. 2, 31-39, April 2010.
doi:10.1109/MAP.2010.5525564

8. Lier, E. and R. K. Shaw, "Design and simulation of metamaterial-based hybrid-mode horn antennas," Electron. Lett., Vol. 44, No. 25, 1444-1445, December 2008.
doi:10.1049/el:20082639

9. Kildal, P. S., "Artificially soft and hard surfaces in electromagnetics and their application to antenna design," Proc. 23rd Eur. Microw. Conf., 30-33, September 1993.

10. Raveu, N., B. Byrne, L. Claudepierre, and N. Capet, "Modal theory for waveguides with anisotropic surface impedance boundaries," IEEE Transactions on Microwave Theory and Techniques, Vol. 64, No. 4, 1153-1162, April 2016.
doi:10.1109/TMTT.2016.2533387

11. Geuzaine, C. and J.-F. Remacle, "Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities," International Journal for Numerical Methods in Engineering, Vol. 79, No. 11, 1309-1331, 2009.
doi:10.1002/nme.2579

12. Jin, J.-M., "The finite element method in electromagnetics," Wiley-IEEE Press, ISBN 978-1-118-57136-1, 2014.