Patent ID: 7341822
Filing Date: 2008-03-11
Classification: G03F

Abstract:
1. A device manufacturing method comprising: providing a beam radiation; projecting said beam of radiation onto a substrate having radiation sensitive material; and specifying a trajectory to be followed by said substrate relative to said projected beam of radiation, said trajectory being characterized at least as a third order mathematical function containing information indicative of at least one of a position and an orientation as a function of time, said trajectory connecting a first state and a second state representing boundary values for said at least position and orientation and for first and second derivatives of said at least position and orientation, wherein said specified trajectory provides the shortest connection in time between said first and second state and wherein said first derivative, said second derivative, and a third derivative of said specified trajectory are bound by predetermined values, and calculating separate sub-trajectories for respective dimensions of said at least position and orientation, wherein each of said sub-trajectories is characterized at least as a third order mathematical function having the shortest connection time between said first state and said second state in the respective dimension and wherein said first derivative, said second derivative, and said third derivative of each of said sub-trajectories are bound by predetermined values specified for that sub-trajectory; selecting one of said sub-trajectories out of said calculated sub-trajectories based on the sub-trajectory having the largest connection time; prolonging non-selected sub-trajectories to the connection time of the selected sub-trajectory while meeting the requirements of the respective predetermined values for the respective sub-trajectories, and generating said specified trajectory by combining the selected sub-trajectory and the prolonged sub-trajectories.