Enhanced transmission by a grating composed of left-handed materials

Abstract We present a detailed theoretical analysis about the influence of surface polaritons on the transmission properties of electromagnetic waves at the periodically corrugated interface between the vacuum and left-handed material by using nonlinear boundary condition approach. The principle behind this approach is to match the wave fields across the grating interface by using a set of linear wave equation with nonlinear boundary conditions. The resonant transmission of the incident electromagnetic radiation in this structure is feasible within a certain frequency band, where there is a range of frequency over which both the electric permittivity and the magnetic permeability are simultaneously negative. The enhanced transmission is attributed to the coupling of the incident electromagnetic wave with the excited surface polaritons on grating interface. Finally, we present the numerical results illustrating the effect of the structural parameters and angle of incidence on the transmission spectra of a TM polarized electromagnetic wave.

[1]  A. Lakhtakia,et al.  Perturbative approach for diffraction due to a periodically corrugated boundary between vacuum and a negative phase-velocity material , 2004 .

[2]  Enhanced diffraction by a rectangular grating made of a negative phase-velocity (or negative index) material [rapid communication] , 2004, physics/0501001.

[3]  R. Greegor,et al.  Experimental verification and simulation of negative index of refraction using Snell's law. , 2003, Physical review letters.

[4]  S. Tretyakov,et al.  Strong spatial dispersion in wire media in the very large wavelength limit , 2002, cond-mat/0211204.

[5]  Nian‐Hai Shen,et al.  Surface plasmon polaritons at interfaces associated with artificial composite materials , 2005 .

[6]  C. Sabah,et al.  Electromagnetic wave propagation through frequency-dispersive and lossy double-negative slab , 2007 .

[7]  Shiyang Liu,et al.  Effective-medium theory for anisotropic magnetic metamaterials , 2009 .

[8]  D. C. Tiwari,et al.  NONLINEAR ANALYSIS OF DISPERSION FROM DOUBLE PERIODIC SEMICONDUCTOR GRATING , 2001 .

[9]  R. Depine,et al.  The homogeneous problem for a corrugated metamaterial of arbitrary permittivity and permeability: Choosing the proper Riemann surface , 2011 .

[10]  Song Liu,et al.  Numerical analysis of propagation characteristics of electromagnetic wave in lossy left-handed material media , 2014 .

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

[12]  Cécile Jamois,et al.  Surface plasmon polaritons in generalized slab heterostructures with negative permittivity and permeability , 2006 .

[13]  Diffraction gratings of isotropic negative-phase velocity materials , 2004, physics/0408050.

[14]  I. Chuang,et al.  Experimental observations of a left-handed material that obeys Snell's law. , 2003, Physical review letters.

[15]  S. Seshadri,et al.  Excitation of long‐range surface polaritons in silver films by a finite‐width light beam , 1990 .

[16]  Symmetric multilayer slab waveguide structure with a negative index material: TM case , 2012 .

[17]  D. Smith,et al.  Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients , 2001, physics/0111203.

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

[19]  John E. Sipe,et al.  Effective-medium approach to planar multilayer hyperbolic metamaterials: Strengths and limitations , 2012 .

[20]  G. Kajtár,et al.  Transmission properties of one-dimensional metallic and left-handed material gratings , 2013, 1307.2711.

[21]  Surface polaritons in grating composed of left-handed materials , 2017 .

[22]  A. Zakhidov,et al.  Surface modes at the interface of conventional and left-handed media , 2003 .

[23]  Shan-jia Xu,et al.  Multimode Network Analysis of Absorption Characteristics of Lossy Dielectric Periodic Structures , 2000 .

[24]  J. Mock,et al.  Enhanced diffraction from a grating on the surface of a negative-index metamaterial. , 2004, Physical review letters.

[25]  D. C. Tiwari,et al.  The nonlinear-boundary-condition approach for the study of surface-plasmon dispersion in semiconductor gratings , 1999 .