Dissipation of electromagnetic waves in one-dimensional quasiperiodic media

The transport of electromagnetic radiation through an isotropic quasiperiodic medium of finite size with linearly or exponentially varying parameters of the dielectric permittivity in one direction is studied. It is shown that quasiperiodicity of the dielectric properties leads to the formation of a forbidden band that is considerably wider than the corresponding band for ideally periodic media. Simple approximate formulas are given for the width and central wavelength of the forbidden band.