Patent ID: 8203696

Claim:
A projection apparatus for microlithography, comprising: an objective for imaging an object field; at least one or a plurality of manipulators for manipulating at least one or a plurality of optical elements of the objective; a control unit for controlling the at least one or the plurality of manipulators; a memory containing upper bounds for one or a plurality of specifications of the objective, including upper bounds for at least one image aberration and/or movements for the at least one or the plurality of manipulators; wherein the control unit comprises: a first device for determining a movement of the at least one or the plurality of manipulators by solving an inverse problem, a second device for the numerical stabilization of the inverse problem, wherein the numerical stabilization comprises one or more stabilizations selected from the group consisting of a SVD stabilization, a Tikhonov stabilization with weight γ in an L-curve method, a cg stabilization, and a preconditioning, a third device for converting the inverse problem into a minimization problem, a fourth device for converting the upper bounds into boundary conditions for the minimization problem, and a fifth device for solving the minimization problem, using one or toggling two or more of the methods selected from the group consisting of a Simplex method, quadratic programming, a quasi-Newton method, a cg method, an interior point method, an active sets method, simulated annealing, sequential quadratic programming, a genetic algorithm, and a ruin and recreate method.