Patent ID: 7230692
Filing Date: 2007-06-12
Classification: G02B,G03F

Abstract:
1. An optical apparatus which includes an image forming optical system having a movable optical element, and a driving mechanism configured to move said optical element, said apparatus comprising: a first block which obtains a linear evaluation value by normalizing, by a first tolerance, an aberration expressed by a linear function of a position of said movable optical element out of aberrations of said optical system, and a quadratic evaluation value by normalizing, by a second tolerance, a square of a root mean square of wavefront aberration of said optical system expressed by a quadratic function of the position out of the aberrations of said optical system; a second block which uses a dummy variable t as an upper limit value of the linear evaluation value and obtains a minimum value of the dummy variable t by a linear programming, wherein the linear programming is given by the following formulas, where y x c a third block which determines a position of said optical element to be moved by said driving mechanism, by a quadratic programming, so as to minimize the quadratic evaluation value under a constraint condition that the upper limit value of the linear evaluation value is a value prepared by adding a relaxation amount d to the minimum value of the dummy variable t that is obtained by said second block, wherein said third block minimizes the quadratic evaluation value by adjusting the quadratic evaluation values and the relaxation amount based on the prepared value and the quadratic evaluation value having been obtained using the prepared value, wherein the quadratic programming is given by the following formulas, where w wherein said driving mechanism is configured to move said optical element in accordance with the determined position.