Diffraction analysis of extraction efficiency for photonic crystal based white light emitting diodes

In this paper, we have proposed a diffraction analysis for calculating extraction efficiency of photonic crystal based light emitting diodes. Diffraction patterns have been obtained for the three RGB wavelengths. It has been observed that extraction efficiency is higher for lattices bearing more symmetry lines in reciprocal domain in the visible range. Besides, the extraction efficiency is optimized with respect to several photonic crystal geometrical parameters such as thickness, filling factor and lattice type.