Photonic band gap materials are holograms with extremely high refracti
ve index contrasts, The refractive index function can be approximated
by a small number of plane waves, as a consequence of the photonic cry
stal periodicity. Photonic crystals can hence be constructed with a si
mple holographic recording of a very small number of optical plane wav
es, and appear in this regard as the simplest holograms. Various photo
nic band gap structures are theoretically analysed and those concepts
are illustrated experimentally with the fabrication of a two-dimension
al triangular lattice in GaAs. The extension of the method to the thre
e-dimensional diamond structure is discussed. (C) 1997 American Instit
ute of Physics.