In this paper, we have analyzed the guiding problem by dielectric waveguide with defects composed of dielectric circular cylinders array and deformed rhombic dielectric structure embedded in the middle layer and investigated the influence of energy flow for defect area by using the propagation constants at the guided area. From the numerical results, it is shown that we can obtain the confinement efficiency by rhombic dielectric structure compared with the deformed rhombic dielectric structure for both TE and TM modes.

In this paper, we apply an improved method for the guiding problem of dielectric waveguide with arbitrary inhomogeneous media along the middle layer introduced the defect layers, and analyzed the propagation characteristics of dielectric waveguide composed of dielectric circular cylinders and the arbitrary inhomogeneous media in the middle layer by using a combination of the improved Fourier series expansion method and multilayer method. Numerical results are given for the propagation constants in the first stop band regions, and the distribution of energy flow for both TE0 and TM0 modes. The influence of permittivity and the shape variation of arbitrary inhomogeneous media are discussed in the first stop band regions.