Mini-stopbands of a one-dimensional system: The channel waveguide in a two-dimensional photonic crystal

We show that a channel waveguide in a two-dimensional photonic crystal channel can be considered as a periodic one-dimensional system. Waveguides were fabricated into a ${\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}/\mathrm{A}\mathrm{l}}_x{\mathrm{Ga}}_{1-x}\mathrm{As}$ waveguide heterostructure and the waveguide transmission was measured by detecting the guided photoluminescence of embedded InAs quantum dots excited near the guide entrance. Mini-stopbands related to anticrossings in the dispersion were observed and the spectral location and width of these transmission stopbands is found to agree well with calculated values.