According to the rigorous coupled-wave theory and medium slab waveguide theory

the structure of Distributed Feed Back（DFB）semiconductor laser based on single-crystal n-ZnO/p-AlGaN Light Emitting Diode（LED）structure is simulated and designed by the Comsol Multiphysic software. The distribution of a two-dimensional electric mode is analyzed with near-ultraviolet light emission at the applied voltage of 4 V on the n-ZnO / p-AlGaN LED structure. The variation of the single longitudinal mode with different parameters of the grating is obtained. Also

the simulation results show that the electric field mode reached 5. 877 4 × 107 V / m with narrow spectral linewidth and preferable mode selectivity under the condition of the duty ratio of 50%

grating period of 109.2 nm and the grating height of 69.8 nm. The results in the paper provide a foundation for the design and processing of electrically pumped DFB semiconductor laser.