Hollow-core uniaxial metamaterial clad fibers with dispersive metamaterials

We present a comprehensive study of the effect of material dispersion on the guided modes of a circular waveguide with an anisotropic, uniaxial metamaterial cladding, including in particular claddings with dispersive hyperbolic or indefinite material properties, both magnetic and electric. We show that the transverse components of material parameters have dominating effects compared to that of the longitudinal material components. We derive the condition for the existence of frequencies at which propagation constants diverge and study the modes’ behavior around such points. In particular we show these modes can be strongly confined in an air core with significantly subwavelength dimensions.

[1]  R. Ruppin.  Surface polaritons and extinction properties of a left-handed material cylinder , 2004 .

[2]  H. Tae,et al.  Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole. , 2005, Optics express.

[3]  Steven M. Anlage,et al.  The physics and applications of superconducting metamaterials , 2010, 1004.3226.

[4]  Guided modes in fiber with left-handed materials. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  Jianfeng Dong,et al.  Guided modes in the chiral negative refractive index fiber , 2010 .

[6]  Simon Fleming,et al.  Fiber-drawn double split ring resonators in the terahertz range , 2012 .

[7]  Andrey Novitsky,et al.  Guided modes in negative-refractive-index fibres , 2005 .

[8]  R Ruppin,et al.  Surface polaritons of a left-handed material slab , 2001 .

[9]  H. Cory,et al.  Surface‐wave propagation along a metamaterial slab , 2003 .

[10]  Richard Lwin,et al.  Stacked-and-drawn metamaterials with magnetic resonances in the terahertz range. , 2011, Optics express.

[11]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[12]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.

[13]  Simon Fleming,et al.  Drawn metamaterials with plasmonic response at terahertz frequencies , 2010 .

[14]  Yansheng Xu.  A study of waveguides filled with anisotropic metamaterials , 2004 .

[15]  Jin Au Kong,et al.  Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability , 2003 .

[16]  J. Pendry,et al.  Low frequency plasmons in thin-wire structures , 1998 .

[17]  L. Medgyesi-Mitschang,et al.  Characteristics of waves guided by a grounded "left-handed" material slab of finite extent. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Guided modes characteristics in a fiber with left‐handed material , 2007 .

[19]  Oliver G Schmidt,et al.  Combined surface plasmon and classical waveguiding through metamaterial fiber design. , 2010, Nano letters.

[20]  H. Cory,et al.  Surface-Wave Propagation Along a Metamaterial Cylindrical Guide , 2005 .

[21]  Min Yan,et al.  Hollow-core infrared fiber incorporating metal-wire metamaterial. , 2009, Optics express.

[22]  D. Stickler,et al.  Rolled-up three-dimensional metamaterials with a tunable plasma frequency in the visible regime. , 2009, Physical review letters.

[23]  Imaging properties of uniaxially anisotropic negative refractive index materials , 2003 .

[24]  Negative-refractive-index fibres: TEM modes , 2006 .

[25]  Fundamental guided electromagnetic dispersion characteristics in lossless dispersive metamaterial clad circular air hole waveguides , 2009, 0902.3696.

[26]  Y. Kivshar,et al.  Guided modes in negative refractive index waveguides , 2002, Conference on Lasers and Electro-Optics, 2003. CLEO '03..

[27]  C. Bennett,et al.  Superconducting RF Metamaterials Made With Magnetically Active Planar Spirals , 2010, IEEE Transactions on Applied Superconductivity.

[28]  B. Kuhlmey,et al.  Hollow-core waveguides with uniaxial metamaterial cladding: modal equations and guidance conditions , 2012 .