Holographic lithography is well-adapted to the production of three-dimensional photonic crystals for applications in the technologically important optical regime. We illustrate the flexibility of this approach by considering the design and fabrication of photonic crystals with symmetries that favour the formation of a complete photonic band gap. One of them, a structure with diamond symmetry, is calculated to have a complete gap at a refractive index contrast equal to the lowest yet reported.
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