The influence of photonic band structures on optical diffraction has been studied with colloidal crystals with large refractive index ratios up to 1.45 and polarizibilities per volume as large as 0.6. It is found that the apparent Bragg spacings are strongly dependent on the wavelength of light. The dynamical diffraction theory that correctly describes weak photonic effects encountered in x-ray diffraction also breaks down. Two simple models are presented that give a much better description of the diffraction of photonic crystals.

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Journal Phys. Rev. B
Vos, W.L, Sprik, R, van Blaaderen, A, Imhof, A, Lagendijk, A, & Wegdam, G. H. (1996). Strong effects of photonic band structures on the diffraction of colloidal crystals. Phys. Rev. B, 53, 16231–16235.