A photonic crystal and a producing method thereof are provided. The
photonic crystal includes at least two media of different refractive
indices formed on a semiconductor substrate. One of the media is
periodically arranged in another one of the media. The photonic crystal
has a cleaved surface on its side. The directions of primitive
translation vectors representing the periodic arrangement directions of
the one medium are at desired angles with the cleaved surface.
Preferably, the direction of at least one of the primitive translation
vectors is in parallel with the cleaved surface.