Distribution of energy flow by dielectric waveguides with different radius composed of dielectric circular cylinder and air cylinder

In this paper, we have analyzed a guiding problem for dielectric waveguides with defects composed of dielectric circular cylinder and air cylinder array by using the combination of improved Fourier series expansion method and multilayer method, and investigate an influence for distribution of energy flow in the defect region by the case of various dielectric and air circular cylinder array with different radius. Numerical results are given by both the complex propagation constants near the first stop band regions and distribution of energy flow into the defect area utilizing the propagation constants at the guided region for TE mode.