Light propagation in periodic structure waveguide such as photonic crystals [1] waveguide is both theoretical and practical interest in many areas of physics and engineering. As these applications, there are devices such as an optical resonator, an optical waveguide filter, and integrated optical devices[2]. Consequently, in the design of photonic crystal structures with periodic constants identical to the optical wavelength, it is important to investigate the stop band region or photonic band-gaps. Though it is not analyzed the propagation constants in detailed in Bragg region, many analysis results are shown only the distribution of the electromagnetic fields by using the FDTD method[2] or another numerical techniques[3]-[6].
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