An improved mount for, and method of mounting, an optical structure having a grooved/relieved protruding member with a damping ring therein or on is provided. The grooved/relieved protruding member may extend from the optical structure, and an upper element having a first opening extending therethrough may receive at least a portion of the grooved/relieved member in the first opening. The upper element may include second and third openings therein that operate along with the first opening and a tightening mechanism. Tightening of the tightening mechanism into at least one of the third opening and the second opening causes the ends of the head portions to draw toward each other so that the first opening of the upper element tightens around the at least a portion of the grooved/relieved protruding member.