Plane-wave diffraction at a grating composed of left-handed materials

Abstract

Binary gratings made of left-handed materials may be considered as novel tools for optical signal processing. In this work, their diffraction properties have been investigated with the help of a semi-analytical numerical method. The method uses an equivalent transmission-line formulation of Maxwell's equations for periodic structures. Being fully vectorial, the formulation can accommodate for negative permittivity and permeability. Using it, one can exploit the circuit theory of transmission lines to develop an absolutely convergent computational method of analysis for periodic structures composed of left-handed materials. In such structures, complex modes have been observed.

Plane-wave diffraction by periodic structures with artificial anisotropic dielectrics

“…z i−1 and z i denote the lower and upper boundaries of the i th layer (i = 1, 2, 3, 4), respectively. The K × K matrices [P] and [Q] are constant matrices and k zn is the nth propagation constant that is given in [18,22]. An expression similar to (27) holds true for the elements of [ Ĩ (z)] in (25):…”

“…In this work, this artificial uniaxial anisotropic dielectric is employed in another periodic structure with a different period of L x . By using a semi-analytical matrix approach explained in [18][19][20][21][22], plane-wave diffraction by such a periodic structure is analyzed. So far, this method has been used to solve problems related to various periodic or multilayer structures and its accuracy has been shown by comparison with wellknown methods [18][19][20][21][22].…”

“…By using a semi-analytical matrix approach explained in [18][19][20][21][22], plane-wave diffraction by such a periodic structure is analyzed. So far, this method has been used to solve problems related to various periodic or multilayer structures and its accuracy has been shown by comparison with wellknown methods [18][19][20][21][22]. The method uses an equivalent transmission line (TL) formulation of Maxwell's equations.…”