Abstract
In this research, we used a “rigorous coupled wave analysis” to characterize the light extraction property of a two-dimension photonic crystal of GaN-based blue LED and optimize the geometric configuration of the photonic crystal via controlling the photonic band gap and the diffraction efficiency. An optimized geometric configuration of the photonic crystal obtained under such calculation is “grating pitch=250nm、optical thickness=(1.3/4*central wavelength)”the extraction efficiency achievable under such condition is 36.05%. This algorithm is more efficient than FDTD or other common by used algorithms. The optimized geometric configuration of the photonic crystal could serve as useful guidelines for fabrication and design.