volume | PIER Journals

Abstract

An acceleration technique for the MoM solution of large-area metamaterial arrays is proposed that relies on numerical extraction of the modal profile associated with the individual array elements followed by projection of the global system equations onto a judiciously constructed reduced solution space. To further enhance the performance of the underlying MoM computations an IE-FFT engine is developed that is adapted for the underlying JMCFIE formulation and higher order quadrilateral discretization. A number of large-area metamaterial arrays are solved and the computational statistics are presented to reflect the advantage of the the proposed methodology.

1. Coifman, R., V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Trans. Ant. Prop., Vol. 35, No. 3, 7-12. Google Scholar

2. Seo, S. M. and J.-F. Lee, "A fast IE-FFT algorithm for solving PEC scattering problems," IEEE Trans. Magn., Vol. 41, 1476-1479, May 2005. Google Scholar

3. Zhang, B., G. Xiao, J. Mao, and Y. Wang, "Analyzing large-scale non-periodic arrays with synthetic basis functions," IEEE Trans. Ant. Prop., Vol. 58, No. 11, Nov. 2010. Google Scholar

4. Prakash, V. and R. Mittra, "Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations," Micro. Opt. Tech. Letters, Vol. 36, Jan. 2003. Google Scholar

5. Hu, L., R. Mittra, and L.-W. Li, "lectromagnetic scattering by finite periodic arrays using the characteristic basis function and adaptive integral methods," IEEE Trans. Ant. Prop., Vol. 58, 3086-3090, Sep. 2010.
doi:10.1109/TAP.2010.2052563 Google Scholar

6. Du, K. and R. Mittra, "Characteristic basis function method for iteration-free solution of large method of moments problems," Progress In Electromagnetic Research, Vol. 6, 307-336, 2006. Google Scholar

7. Maaskant, R., R. Mittra, and A. Tijhuis, "Fast analysis of large antenna arrays using the characteristic basis function method and the adaptive cross approximation algorithm," IEEE Trans. Ant. Prop., Vol. 56, No. 11, 3440-3451, Nov. 2008.
doi:10.1109/TAP.2008.2005471 Google Scholar

8. Xiao, K., F. Zhao, S. L. Chai, J. J. Mao, and L.-W. Li, "Scattering analysis of periodic arrays using combined CBF/P-FFT method," Progress In Electromagnetic Research, Vol. 115, 131-146, 2011. Google Scholar

9. Rashidi, A., H. Mosallaei, and R. Mittra, "Scattering analysis of plasmonic nanorod antennas: A novel numerically efficient computational scheme utilizing macro basis functions," Journal of Applied Physics, Vol. 109, 2011. Google Scholar

10. Stratton, J. A. and L. J. Chu, "Diffraction theory of electromagnetic waves," Phys. Rev., Vol. 56, 99-107, Jul. 1939. Google Scholar

11. Yla-Oijala, P. and M. Taskinen, "Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects," IEEE Trans. Ant. Prop., Vol. 53, No. 3, 1168-1173, Mar. 2005.
doi:10.1109/TAP.2004.842640 Google Scholar

12. Taskinen, M., "On the implementation and formulation of electromagnetic surface integral equations," , Ph.D. Thesis, 2006. Google Scholar

13. Solin, P. and K. Segeth, Higher-order Finite Element Methods, Chapman & Hall, 2004.
doi:10.1109/TAP.2004.831292

14. Graglia, R. D. and G. Lombardi, "Singular higher order complete vector bases for finite methods," IEEE Trans. Ant. Prop., Vol. 52, No. 7, 1672-1685, Jul. 2004.
doi:10.1103/PhysRevB.6.4370 Google Scholar

15. Johnson, P. B. and R. W. Christy, "Optical constants of the noble metals," Phys. Rev. B, Vol. 6, 4370-4379, 1972. Google Scholar

16. Stratton, J. A., Electromagnetic Theory, McGraw Hill, 1941.

17. Ahmadi, A. and H. Mosallaei, "Physical configuration and performance modeling of all-dielectric metamaterials," Phys. Rev. B, Vol. 77, 2008. Google Scholar

18. Ghadarghadr, S. and H. Mosallaei, "Coupled dielectric nanoparticles manipulating metamaterials optical characteristics," IEEE Trans. Nanotechnol., Vol. 8, 585-594, Sep. 2009.
doi:10.1109/TAP.2010.2103022 Google Scholar

19. Ahmadi, A., S. Saadat, and H. Mosallaei, "Resonance and Q performance of ellipsoidal eng subwavelength radiators," IEEE Trans. Ant. Prop., Vol. 59, No. 3, 706-713, Mar. 2011. Google Scholar

20. Biagioni, P., J.-S. Huang, and B. Hecht, "Nanoantennas for visible and infrared radiation," Rep. Prog. Phys., Vol. 75, 2012.
doi:10.1021/nn100993t Google Scholar

21. Lipomi, D. J., M. A. Kats, P. Kim, S. H. Kang, J. Aizenberg, F. Capasso, and G. M. Whitesides, "Fabrication and replication of arrays of single- or multicomponent nanostructures by replica molding and mechanical sectioning," ACS Nano, Vol. 4, No. 7, 4017-4026, 2010. Google Scholar

Dr. Davood Ansari Oghol Beig

Dr. Hossein Mosallaei