2015-02-14
Homogenization of Periodic Objects Embedded in Layered Media
By
Progress In Electromagnetics Research Letters, Vol. 51, 95-99, 2015
Abstract
An effective medium modeling technique is proposed to homogenize the periodic objects embedded in layered media. The homogenization is based on the same scattering coefficients. An integral equation based approach is adopted to solve the scattering problem of original structures. Our modeling results are compared with Maxwell-Garnett mixing formula and published results. Good agreements have been observed. Periodic metal patches embedding in layered dielectric structure is fabricated and measured to validate the modeling technique. The difference between experiment results and proposed modeling results is less than 3%.
Citation
Teng Zhao, Jiming Song, Telesphor Kamgaing, and Yidnekachew S. Mekonnen, "Homogenization of Periodic Objects Embedded in Layered Media," Progress In Electromagnetics Research Letters, Vol. 51, 95-99, 2015.
doi:10.2528/PIERL14121507
References

1. Smith, D. R. and N. Kroll, "Negative refractive index in left-handed materials," Phy. Rev. Lett., Vol. 85, No. 14, 2933-2936, 2000.
doi:10.1103/PhysRevLett.85.2933        Google Scholar

2. Njoku, C. C., W. G. Whittow, and J. C. Vardaxoglow, "Simulation methodology for synthesis of antenna substrates with microscale inclusions," IEEE Trans. Antennas Propag., Vol. 60, No. 5, 2194-2202, 2012.
doi:10.1109/TAP.2012.2189736        Google Scholar

3. Merrill, W. M., R. E. Diaz, M. M. Lore, M. C. Squires, and N. G. Alexopoulos, "Effective medium theory for artificial materials composed of multiple sizes of spherical inclusions in a host continuum," IEEE Trans. Antennas Propag., Vol. 47, No. 1, 142-148, 1999.
doi:10.1109/8.753004        Google Scholar

4. Zheng, G., B.-Z. Wang, H. Li, X.-F. Liu, and S. Ding, "Analysis of finite periodic dielectric gratings by the finite-difference frequency-domain method with the sub-entire-domain basis functions and wavelets," Progress In Electromagnetics Research, Vol. 99, 453-463, 2009.
doi:10.2528/PIER09111502        Google Scholar

5. Lerisirimit, C. and D. Torrungrueng, "Fast capacitance extraction for finite planar periodic structures using the generalized forward-backward and novel spectral acceleration method," Progress In Electromagnetics Research, Vol. 96, 251-266, 2009.
doi:10.2528/PIER09081004        Google Scholar

6. Hu, F. and J. Song, "Integral equation analysis of scattering from multilayered periodic array using equivalence principle and connection scheme," IEEE Trans. Antennas Propag., Vol. 58, No. 3, 848-856, 2010.
doi:10.1109/TAP.2009.2039313        Google Scholar

7. Zhao, T., J. Song, and T. Kamgaing, "Modeling and experimental test of effective dielectric constant of multilayer substrate with periodic metal inclusion," IEEE MTT-S International Microwave Symposium, 1-3, Jun. 2013.        Google Scholar

8. Smith, D. R., S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phy. Rev. B, Vol. 65, 016608, 2004.        Google Scholar

9. Zhao, T., J. Song, T. Kamgaing, and Y. S. Mekonnen, "An efficient modeling approach for multilayered dielectric embedded with periodic metal," Microwave and Optical Technology Letters, Vol. 56, No. 6, 1387-1391, 2014.
doi:10.1002/mop.28344        Google Scholar

10. Wu, F. and K. W. Whites, "Quasi-static effective permittivity of periodic composites containing complex shaped dielectric particles," IEEE Trans. Antennas Propag., Vol. 49, No. 8, 1174-1181, 2001.
doi:10.1109/8.943312        Google Scholar

11. Das, N. K., S. M. Voda, and D. M. Pozar, "Two methods for the measurement of substrate dielectric constant," IEEE Trans. Microwave Theory and Tech., Vol. 35, No. 7, 636-642, 1987.
doi:10.1109/TMTT.1987.1133722        Google Scholar

12. Mondal, J. P. and T.-H. Chen, "Propagation constant determination in microwave fixture de-embedding procedure," IEEE Trans. Microwave Theory and Tech., Vol. 36, No. 4, 706-714, 1988.
doi:10.1109/22.3575        Google Scholar

13. Balanis, C. A., Advanced Engineering Electromagnetic, J. Wiley & Sons, 1989.