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We present a systematic study of the photonic properties (band structures) of periodic multicontinuous cubic phases based on the P, D, G, I-WP, F-RD, and $C(P)$ triply periodic minimal surfaces. We investigate the structures with up to five separate interwoven subvolumes. The influence of the dielectric constant modulation at different spatial scales is discussed. The lowest dielectric constant contrasts required to observe the full three-dimensional photonic band gaps are stated.
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Babin et al. (2002) studied this question.
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