'Short stories on line sources in meta-materials'

摘要: Negative refractive index materials [1] have excited the optics community both through intriguing possibilities they appear to offer, and challenges present our understanding of diffraction process. Most all is possibility a lens whose resolution limited not by wavelength, but only losses in constituent materials. The this increases without limit as tend zero. However one member whole category systems, such intersecting planes, which satisfy generalized theorem [5]. We shall see that good use coordinate transformations tackles geometries related another mirror symmetry. In pamphlet, we explore imaging effects negative refraction 1D Photonic Crystals. tool choice will be generalised transfer matrix formalism. Our approach amounts solving Maxwell system taking full account invariance structure in, say, x y (using Fourier Transform), its periodicity z (by means Floquet-Bloch decomposition). assume electromagnetic field satisfies prerequisite energy criterion square integrability. achieve clean mathematical derivation leads an analytical expression for formalism proved fast accurate algorithm numerous studies on Band Gap structures past decade. meta-material requires course some modifications with respect original (described instance at length [3,6,7]): need now consider loss layers (for causality reasons). Further, also introduce periodic arrangement line current sources oriented along -axis, radiate overall (see figure 1(a)).