运用平面波展开法（PWE），针对光子晶体在短波长段发光二极管（LED）领域上的应用，主要选择高频禁带模式，研究了4种具有较大应用潜力的二维光子晶体结构，包括正方空气柱结构、三角空气柱结构、正方介质柱结构和三角介质柱结构。在不同晶格常数、占空比（AFF）、柱半径和晶格常数比下，分析了TE模式和TM模式光子禁带的变化。数据分析表明，光子禁带中心波长随AFF增加而变小。相比于其他结构，正方介质柱结构更适于短波段光子晶体LED来提高其出光效率，三角介质柱结构和三角空气柱结构适合用于构造短波段偏振光LED。

Using plane wave expansion (PWE) method, four kinds of promising two-dimensional (2D) photonic crystals including square air holes, hexagonal air holes, square rods and hexagonal rods aiming at short-wavelength light emitting diode (LED) are studied. Transverse electric (TE) and transverse magnetic (TM) photonic band gaps (PBGs) are calculated under different lattice constants with different air filling fractions (AFFs) and ratios of pillar radius to lattice constant. The analysis of data indicates that the center wavelength of PBG increases with smaller AFF. Compared with other structures, the structure with square rods has more potential in improving the extraction efficiency of short-wavelength LED, while those with hexagonal rods and hexagonal air holes are suitable for structuring short-wavelength polarization LED.