Identification of dark matter has been an outstanding problem in physics for decades, and axion (or axion like particles) is its candidate with great motivations. A number of observations and experiments have tried to detect axion by using the axion-photon conversion by assuming the axion is coupled to photon, while no signal yet to be found. In this talk, I will discuss three new techniques to search for axion dark matter (ADM) by focusing on another phenomena, birefringence, which is caused by the same coupling. The observations of protoplanetary disks, gravitational interferometers and a ring cavity experiment which had no link to dark matter search will be used to detect ADM.