Vol. 17
Latest Volume
All Volumes
PIERM 126 [2024] PIERM 125 [2024] PIERM 124 [2024] PIERM 123 [2024] PIERM 122 [2023] PIERM 121 [2023] PIERM 120 [2023] PIERM 119 [2023] PIERM 118 [2023] PIERM 117 [2023] PIERM 116 [2023] PIERM 115 [2023] PIERM 114 [2022] PIERM 113 [2022] PIERM 112 [2022] PIERM 111 [2022] PIERM 110 [2022] PIERM 109 [2022] PIERM 108 [2022] PIERM 107 [2022] PIERM 106 [2021] PIERM 105 [2021] PIERM 104 [2021] PIERM 103 [2021] PIERM 102 [2021] PIERM 101 [2021] PIERM 100 [2021] PIERM 99 [2021] PIERM 98 [2020] PIERM 97 [2020] PIERM 96 [2020] PIERM 95 [2020] PIERM 94 [2020] PIERM 93 [2020] PIERM 92 [2020] PIERM 91 [2020] PIERM 90 [2020] PIERM 89 [2020] PIERM 88 [2020] PIERM 87 [2019] PIERM 86 [2019] PIERM 85 [2019] PIERM 84 [2019] PIERM 83 [2019] PIERM 82 [2019] PIERM 81 [2019] PIERM 80 [2019] PIERM 79 [2019] PIERM 78 [2019] PIERM 77 [2019] PIERM 76 [2018] PIERM 75 [2018] PIERM 74 [2018] PIERM 73 [2018] PIERM 72 [2018] PIERM 71 [2018] PIERM 70 [2018] PIERM 69 [2018] PIERM 68 [2018] PIERM 67 [2018] PIERM 66 [2018] PIERM 65 [2018] PIERM 64 [2018] PIERM 63 [2018] PIERM 62 [2017] PIERM 61 [2017] PIERM 60 [2017] PIERM 59 [2017] PIERM 58 [2017] PIERM 57 [2017] PIERM 56 [2017] PIERM 55 [2017] PIERM 54 [2017] PIERM 53 [2017] PIERM 52 [2016] PIERM 51 [2016] PIERM 50 [2016] PIERM 49 [2016] PIERM 48 [2016] PIERM 47 [2016] PIERM 46 [2016] PIERM 45 [2016] PIERM 44 [2015] PIERM 43 [2015] PIERM 42 [2015] PIERM 41 [2015] PIERM 40 [2014] PIERM 39 [2014] PIERM 38 [2014] PIERM 37 [2014] PIERM 36 [2014] PIERM 35 [2014] PIERM 34 [2014] PIERM 33 [2013] PIERM 32 [2013] PIERM 31 [2013] PIERM 30 [2013] PIERM 29 [2013] PIERM 28 [2013] PIERM 27 [2012] PIERM 26 [2012] PIERM 25 [2012] PIERM 24 [2012] PIERM 23 [2012] PIERM 22 [2012] PIERM 21 [2011] PIERM 20 [2011] PIERM 19 [2011] PIERM 18 [2011] PIERM 17 [2011] PIERM 16 [2011] PIERM 14 [2010] PIERM 13 [2010] PIERM 12 [2010] PIERM 11 [2010] PIERM 10 [2009] PIERM 9 [2009] PIERM 8 [2009] PIERM 7 [2009] PIERM 6 [2009] PIERM 5 [2008] PIERM 4 [2008] PIERM 3 [2008] PIERM 2 [2008] PIERM 1 [2008]
2011-02-12
Multi-Scale Approach for the Electromagnetic Simulation of Finite Size and Thick Frequency Selective Surfaces
By
Progress In Electromagnetics Research M, Vol. 17, 43-57, 2011
Abstract
The scattering analysis from metallic Grid FSS consisting of rectangular perforations on a thick metallic screen illuminated by an oblique incident plane wave is presented. The grid structure is analyzed using Scale Changing Technique (SCT) which is based on the partition of the grid-plane into planar sub-domains defined at various scalelevels. Electromagnetic interaction between subsequent scales is modeled by mutually independent Scale-Changing Networks and finally the complete structure is simply represented by a cascade of these networks. Very good agreement is obtained between simulation results from SCT and the Finite Element Method (FEM) when computing the reflection/transmission coefficients and electromagnetic field backscattered by thick and finite size frequency selective surfaces. The computation time is significantly reduced when using SCT-based software compared with the FEM simulation tool.
Citation
Euloge Budet Tchikaya, Fadi Khalil, Farooq Ahmad Tahir, and Herve Aubert, "Multi-Scale Approach for the Electromagnetic Simulation of Finite Size and Thick Frequency Selective Surfaces," Progress In Electromagnetics Research M, Vol. 17, 43-57, 2011.
doi:10.2528/PIERM11011401
References

1. Huang, J. and J. A. Encinar, Reflectarray Antennas, IEEE Press, 2007.
doi:10.1002/9780470178775

2. Pozar, D. M. and D. H. Schaubert, "Analysis of an infinite array of rectangular microstrip patches with idealized probe feeds," IEEE Transactions on Antennas and Propagation, Vol. 32, 1101-1107, Oct. 1984.
doi:10.1109/TAP.1984.1143211

3. Pozar , D. M., "Analysis of an infinite phased array of aperture coupled microstrip patches," IEEE Transactions on Antennas and Propagation, Vol. 37, 418-425, Apr. 1989.
doi:10.1109/8.24161

4. Cadoret, D., A. Laisne, R. Gillard, and H. Legay, "Design and measurement of new reflectarray antenna using microstrip patches loaded with slot," Electronic Letters, Vol. 41, No. 11, 623-624, May 2005.
doi:10.1049/el:20050548

5. Mittra, R., C. H. Chan, and T. Cwik, "Techniques for analyzing requency selective surfaces a review," Proceedings of IEEE, Vol. 76, No. 12, 1593-1615, Dec. 1988.
doi:10.1109/5.16352

6. Wan, C. and J. A. Encinar, "Efficient computation of generalized scattering matrix for analyzing multilayered periodic structures," IEEE Transactions on Antennas and Propagation, Vol. 43, 1233-1242, Oct. 1995.

7. Bardi, I., R. Remski, D. Perry, and Z. Cendes, "Plane wave scattering from frequency selective surfaces by finite element method," IEEE Transactions Magazine, Vol. 38, No. 2, 641-644, Mar. 2002.
doi:10.1109/20.996167

8. Harms, P., R. Mittra, and K. Wae, "Implementation of periodic boundary condition infinite-difference time-domain algorithm for FSS structures," IEEE Transactions on Antennas and Propagation, Vol. 42, 1317-1324, Sep. 1994.
doi:10.1109/8.318653

9. Pilz, D. and W. Menzel, "Full wave analysis of a planar reflector antenna," Asia Pacific Microwave Conference, Dec. 1997.

10. Sarkar, T. K. and S. M. Rao, "The application of conjugate gradient method for the solution of electromagnetic scattering from arbitrarily oriented wire antennas," IEEE Transactions on Antennas and Propagation, Vol. 32, No. 4, 398-403, Apr. 1984.
doi:10.1109/TAP.1984.1143331

11. Sarkar, T. K. and S. M. Rao, "An iterative method for solving electrostatic problems," IEEE Transactions on Antennas and Propagation, Vol. 30, No. 4, 611-616, Jul. 1982.
doi:10.1109/TAP.1982.1142833

12. Mittra , R., J.-F. Ma, E. Lucente, and A. Monorhio, "CBMOM --- An iteration free MoM approach for solving large multiscale EM radiation and scattering problems," IEEE Antennas and Propagation Society International Symposium, Vol. 2B, 2-5, Jul. 3-8, 2005.

13. Lucente, E., A. Monorchio, and R. Mittra, "Generation of characteristic basis functions by using sparse MoM impedance matrix to construct the solution of large scattering and radiation problems," IEEE Antennas and Propagation Society International Symposium, 4091-4094, 2006.
doi:10.1109/APS.2006.1711527

14. Aubert, H., "The concept of scale-changing network in the global electromagnetic simulation of complex structures," Progress In Electromagnetics Research B, Vol. 16, 127-154, 2009.
doi:10.2528/PIERB09060504

15. Tao, J. W. and H. Baudrand, "Multimodal variational analysis of uniaxial waveguide discontinuities," IEEE Transactions on Microwave Theory and Techniques, Vol. 39, No. 3, 506-516, Mar. 1991.
doi:10.1109/22.75293

16. Voyer, D., H. Aubert, and J. David, "Scale-changing technique for the electromagnetic modeling of planar self-similar structures," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 10, 2783-2789, Oct. 2006.
doi:10.1109/TAP.2006.882157

17. Voyer, D., H. Aubert, and J. David, "Radar cross section of discrete self-similar objects using a recursive electromagnetic analysis," IEEE AP-S International Symposium and USNC/URSI National Radio Science Meeting, Monterey, Vol. 4, 4260-4263, California, USA, Jun. 20-26, 2004.

18. Voyer, D., H. Aubert, and J. David, "Radar cross section of self-similar targets," Electronics Letters, Vol. 41, No. 4, 215-217, Feb. 17, 2005.
doi:10.1049/el:20057319

19. Tahir, F. A., et al. "Full wave analysis of planar structures using scale changing technique under feed horn excitation," Antennas and Propagation Conference (LAPC), 445-448, Loughborough, UK, Nov. 8-9, 2010.

20. Perret, E. and H. Aubert, "A multi-scale technique for the electromagnetic modeling of active antennas," IEEE AP-S International Symposium on Antennas Propagation and USNC/URSI National Radio Science Meeting, Vol. 4, 3923-3926, Monterey, California, USA, Jun. 20-25, 2004.

21. Perret, E., H. Aubert, and , "Scale-changing technique for the computation of the input impedance of active patch antennas," IEEE Antennas and Wireless Propagation Letters, Vol. 4, 326-328, 2005.
doi:10.1109/LAWP.2005.853999

22. Collin, R. E., Field Theory of Guided Waves, 2nd Ed., 588-591, IEEE Press, 1990.
doi:10.1109/9780470544648

23. Vardaxoglou, J. C., Frequency Selective Surfaces, John Wiley and Sons, 1997.

24. Ansoft HFSS website, http://www.ansoft.com/products/hf/hfss/.