In-plane modal analysis of a metalayer formed by arrayed pairs of dogbone-shaped conductors

We present a comprehensive analysis of natural modes of a planar metamaterial layer (metalayer) formed by arrayed pairs of metallic dogbone-shaped conductors separated by a thin dielectric layer. The in-plane modes are classified based on the symmetric and anti-symmetric current distributions in the pairs. Of particular interest are the anti-symmetric modes, since the anti-symmetric current is associated with the magnetic resonance in metamaterial particles made of tightly coupled pairs. It is shown that the modal spectrum includes both TE and TM bound (proper real) and leaky (proper complex and improper complex) modes. An interesting observation is that a peculiar dominant TM improper leaky wave with a low attenuation constant, for the anti-symmetric current distribution, occurs at low frequencies, with a potential application in periodic leaky-wave antennas.

[1]  L. Markley,et al.  A Negative-Refractive-Index Metamaterial for Incident Plane Waves of Arbitrary Polarization , 2007, IEEE Antennas and Wireless Propagation Letters.

[2]  Paolo Baccarelli,et al.  Analysis of periodic shielded microstrip lines excited by nonperiodic sources through the array scanning method , 2008 .

[3]  D. Jackson,et al.  A New Brillouin Dispersion Diagram for 1-D Periodic Printed Structures , 2007, IEEE transactions on microwave theory and techniques.

[4]  A. A. Oliner,et al.  The spectrum of electromagnetic waves guided by a plasma layer , 1963 .

[5]  F. De Flaviis,et al.  A low profile folded dipole antenna on a reactive high impedance substrate , 2009, 2009 International Conference on Electromagnetics in Advanced Applications.

[7]  Filippo Capolino,et al.  Metamaterials Based on Pairs of Tightly Coupled Scatterers , 2009 .

[8]  Filippo Capolino,et al.  Theory and Phenomena of Metamaterials , 2009 .

[9]  F. Capolino,et al.  Thin high-impedance metamaterial substrate and its use in low profile antennas suitable for system integration , 2009, 2009 59th Electronic Components and Technology Conference.

[10]  Henry Jasik,et al.  Antenna engineering handbook , 1961 .

[11]  Constantine A. Balanis,et al.  Modern Antenna Handbook , 2012 .

[12]  P. de Maagt,et al.  High-impedance surfaces having stable resonance with respect to polarization and incidence angle , 2005, IEEE Transactions on Antennas and Propagation.

[13]  A. Yaghjian.  Bidirectionality of Reciprocal, Lossy or Lossless, Uniform or Periodic Waveguides , 2007, IEEE Microwave and Wireless Components Letters.

[14]  Theodor Tamir,et al.  Frequency-selective reflection and transmission by a periodic dielectric layer , 1989 .

[15]  F. Capolino,et al.  Tightly coupled tripole conductor pairs as constituents for a planar 2D-isotropic negative refractive index metamaterial. , 2009, Optics express.

[16]  F. Capolino,et al.  Fundamental properties of the field at the interface between air and a periodic artificial material excited by a line source , 2005, IEEE Transactions on Antennas and Propagation.

[17]  F. Capolino,et al.  2-D Isotropic Effective Negative Refractive Index Metamaterial in Planar Technology , 2009, IEEE Microwave and Wireless Components Letters.

[18]  Filippo Capolino,et al.  Metamaterial made of paired planar conductors: Particle resonances, phenomena and properties , 2009 .

[19]  Sergei A. Tretyakov,et al.  Analytical Modeling of Surface Waves on High Impedance Surfaces , 2009 .

[20]  D. Pissoort,et al.  Study of eigenmodes in periodic waveguides using the Lorentz reciprocity theorem , 2004, IEEE Transactions on Microwave Theory and Techniques.

[21]  Lei Zhang,et al.  Negative Index Materials Using Simple Short Wire Pairs , 2006 .

[22]  Paolo Baccarelli,et al.  Modal analysis of a metamaterial layer formed by arrayed pairs of planar conductors , 2009 .

[23]  Donald R. Wilton,et al.  Field Representations in Periodic Artificial Materials Excited by a Source , 2009 .

[24]  T. Tamir,et al.  GUIDED COMPLEX WAVES: PART I. FIELDS AT AN INTERFACE , 1963 .

[25]  Paolo Baccarelli,et al.  Full-wave analysis of bound and leaky modes propagating along 2d periodic printed structures with arbitrary metallisation in the unit cell , 2007 .

[26]  C. Balanis.  Antenna theory , 1982 .

[27]  D. Jackson,et al.  Leaky‐Wave Antennas , 2008 .

[28]  Thomas Koschny,et al.  Unifying approach to left-handed material design. , 2006, Optics letters.

[29]  David R. Jackson,et al.  A leaky-wave analysis of the high-gain printed antenna configuration , 1988 .

[30]  Viktor Podolskiy,et al.  Plasmon modes and negative refraction in metal nanowire composites. , 2003, Optics express.

[31]  U. Chettiar,et al.  Negative index of refraction in optical metamaterials. , 2005, Optics letters.

[32]  A. A. Oliner,et al.  Guided complex waves. Part 2: Relation to radiation patterns , 1963 .

[33]  F. Capolino,et al.  Comparison of Methods for Calculating the Field Excited by a Dipole Near a 2-D Periodic Material , 2007, IEEE Transactions on Antennas and Propagation.