Extrinsic photonic band structure calculations of a doped semiconductor under an external magnetic field

Doped semiconductors are intrinsically homogeneous media. However, by applying an external magnetic field that has a spatially periodic variation, doped semiconductors can behave extrinsically like conventional photonic crystals. It has shown this possibility theoretically by calculating the dispersion relation, transmittance spectra, and the field distribution of a doped semiconductor under an external, spatially periodic magnetic field. The energy distribution for frequencies located in conduct band and value band are also clearly shown, which convinces the extrinsic photonic band structure characteristic.