Abstract: The plane wave expansion method (PWM) and rapid genetic algorithm (RGA) are used to design two-dimensional photonic crystals with large complete band-gaps.The algorithms evolve from randomly generated photonic crystals and integrate a filling fraction controlling operator and Fourier transform data storage mechanism to run efficiently and effectively.The obtained optimal photonic crystal has a large band gap with a relative width of 13.25% and can be easily fabricated due to large pixel.

Key words: two-dimensional photonic crystals, photonic band gap, rapid genetic algorithm, plane wave expansion method