Can perfectly electric conducting obstacles modify the permeability of metamaterial? An investigation using Lorentz, Fl

Abstract: An array of perfectly electric conducting (PEC) obstacles in a host dielectric medium modifies the constitutive parameters of the composite medium or metamaterial. Typically, for such a composite medium, the effective (homogenized) parameters are estimated using the Lorentz model. The Lorentz model indicates that inclusion of PEC obstacles in a host medium introduces both electric and magnetic polarizabilities that modify the permittivity and permeability tensors of the composite medium. On the other hand, the Floquet eigenmodal analysis shows that the PEC obstacles, while modifying the permittivity tensor, have no effect on the permeability tensor. Hence, as a corollary, Floquet model leads us to conclude that a negative permeability metamaterial using PEC obstacles is not possible to obtain.  Interestingly, numerical results obtained from full wave analyses of metamaterial-slabs support the Floquet model. We will present the Lorentz and Floquet models and examine the source of inaccuracy in the Lorentz model. We will discuss the characteristic features of metamaterials made with non-resonant and resonant types of obstacles. Numerical results obtained from four independent models will be compared and discussed. In light of Maxwell's equations, we will scrutinize the rationality of the claims of "negative refraction" metamaterials.

Short Bio: Arun K. Bhattacharyya received his B.Eng. degree in electronics and telecommunication engineering from Bengal Engineering College, University of Calcutta in 1980, and the M.Tech. and Ph.D. degrees from Indian Institute of Technology, Kharagpur, India, in 1982 and 1985, respectively. From November 1985 to April 1987, he was with the University of Manitoba, Canada, as a Postdoctoral Fellow in the electrical engineering department. From May 1987 to October 1987, he worked for Til-Tek Limited, Kemptville, Ontario, Canada as a senior antenna engineer. In October 1987, he joined the University of Saskatchewan, Canada as an assistant professor of electrical engineering department and then promoted to the associate professor rank in 1990. In July 1991 he joined Boeing Satellite Systems (formerly Hughes Space and Communications), Los Angeles as a senior staff engineer, and then promoted to scientist and senior scientist ranks in 1994 and 1998, respectively. Dr. Bhattacharyya became a Technical Fellow of Boeing in 2002. In September 2003 he joined Northrop Grumman Space Technology group as a staff scientist and then became Distinguished Engineer and Engineering Fellow at Northrop Grumman. At present he is with the RF Center of Excellence of Lockheed Martin Corporation and working as a Principal Scientist. He is the author of "Electromagnetic Fields in Multilayered Structures-Theory and Applications", Artech House, Norwood, MA, 1994 and "Phased Array Antennas, Floquet Analysis, Synthesis, BFNs and Active Array Systems", John Wiley, 2006. He authored over 100 technical papers, 5 book-chapters and has 25 issued patents. His technical interests include electromagnetics, printed antennas, multilayered structures, active phased arrays and modelling of microwave components and circuits. Dr. Bhattacharyya became a Fellow of IEEE in 2002. He was a Distinguished Lecturer of IEEE APS society from 2011 to 2014. He served as an associate editor of IEEE Transaction Antennas and Propagation from 2012to 2016. Dr. Bhattacharyya is a recipient of numerous awards including the 1996 Hughes Technical Excellence Award, 2002 Boeing Special Invention Award for his invention of "High Efficiency horns", 2003 Boeing Satellite Systems Patent Awards, 2005 Tim Hannemann Annual Quality Award and 2007 Distinguished Engineer award at Northrop Grumman Space Technology.