Method and system for determining the position and alignment of a surface of an object in relation to a laser beam
The present invention generally relates to a method and system for determining the position and alignment of a plane in relation to an intersecting axis and using that known position and alignment to allow for corrections to be made when using the plane as a reference plane. More particularly, the invention relates to a method and system for determining the angle of tilt of a planar surface in relation to a laser beam, and using the determined angle of tilt to calculate a correction factor to be applied to the laser beam. Briefly stated, the method and system ultimately calculates a correction factor, z-offset, that is applied when using the laser beam in a procedure.
1. A method for determining the focus of a laser beam about a surface of an object, the method comprising the steps of:
providing an object having a substantially planar surface;
providing a laser system for generating a laser beam;
focusing a laser beam at or near the substantially planar surface, wherein the laser beam is reflected back from the substantially planar surface;
detecting a fringe pattern created by interference between the reflected laser beam and a reference beam; and
extracting a focal position of the laser beam relative to the substantially planar surface using the fringe pattern.
2. The method of claim 1 , wherein the detecting step includes:
providing an interferometer; and
utilizing the interferometer to analyze the fringe pattern.
3. The method of claim 1 , wherein extracting the focal position further comprises:
determining a fringe curvature sign and a fringe curvature magnitude for fringes within the fringe pattern; and
determining the focal position from the fringe curvature sign and the fringe curvature magnitude.
4. The method of claim 3 , wherein extracting the focal position comprises:
detecting edges of the fringes within the fringe pattern;
fitting polynomial curves to the detected edges, wherein each fitted polynomial curve determines an edge curvature sign and an edge curvature magnitude for each respective fringe; and
averaging the edge curvature magnitudes to determine the fringe curvature magnitude.
5. A laser system for determining the focus of a laser beam about a substantially planar surface of an object, the system comprising:
a laser system for generating a laser beam, the laser system having a central processing unit, the central processing unit configured for instructing movement of the laser beam;
an interferometer for detecting a fringe pattern, the interferometer interconnected with the laser system; and
a software program for execution on the central processing unit, the software program configured for:
focusing a laser beam at or near the substantially planar surface, wherein the laser beam is reflected back from the substantially planar surface;
detecting a fringe pattern created by interference between the reflected laser beam and a reference beam; and
extracting a focal position of the laser beam relative to the substantially planar surface using the fringe pattern.
6. The laser system of claim 5 , wherein extracting the focal position further comprises:
determining a fringe curvature sign and a fringe curvature magnitude for fringes within the fringe pattern; and
determining the focal position from the fringe curvature sign and the fringe curvature magnitude.
7. The laser system of claim 6 , wherein extracting the focal position further comprises:
detecting edges of the fringes within the fringe pattern;
fitting polynomial curves to the detected edges, wherein each fitted polynomial curve determines an edge curvature sign and an edge curvature magnitude for each respective fringe; and
averaging the edge curvature magnitudes to determine the fringe curvature magnitude.