Birefringence Peridot Ring Exhibiting Doubling Resulting from its High Birefringence. Birefringence is the strength of double refraction as measured by computing the difference between the high and low indices of a doubly refractive stone. Gems with a high birefringence usually show doubling when observed under magnification. Birefringence Exhibited by Iceland Spar Calcite. Related Reading Double Refraction