An optical delay element including a photonic crystal line defect optical
waveguide is disclosed that has a large group refractive index and has
small or nearly constant wavelength dispersion of the group refractive
index in a wide wavelength region for practical use. The optical delay
element includes a line defect optical waveguide formed in a photonic
crystal structure, and the volume of the line defect optical waveguide is
less than the volume of a single line defect optical waveguide. Thereby,
the waveguide band of the line defect optical waveguide has two zero
points in the third order dispersion curve of the line defect optical
waveguide, and the sign of the third order dispersion curve is inverted
near the zero points. Therefore, the waveguide band of the line defect
optical waveguide is modified, and this enables expansion of the
wavelength region having a large group refractive index, small wavelength
dispersion of the group refractive index, and small wavelength dispersion
of the speed of optical pulses.