Abstract: When birefringence happens in the uniaxial crystals, some abnormal phenomena of the extraordinary light may occur, such as negative refraction, walk-off angle, total reflection and so on. Different from the electromagnetic theory of plane waves transmission in crystals as in the references, we use the Huygens construction, which is more intuitive, with some geometric methods to calculate the critical incidence angle of negative refraction, the walk-off angle and the critical incidence angle of total reflection of the extraordinary light.

Key words: birefringence, Huygens construction, negative refraction, walk-off angle, total reflection