Abstract
A novel kind of two-dimensional (2D) photonic crystals conforming to the 6-fold hybrid triangular configuration formed by holographic lithography is proposed. The relations between their photonic band gap properties and their specific holographic designs for the normal structures are systematically investigated. Computations show that this normal structure has complete band gaps over wide ranges of system parameters, and the minimum dielectric constant required to open a complete band gap with Δω/ω>1% is as low as 3.8, which is the lowest compared with the results of 2D periodic photonic crystals ever reported. The latter fact is also verified by light propagation simulation in waveguide. This work may make holographic photonic crystals promising for application in the range of optical devices and provide a guideline for their design and experimental fabrication.