Spatial wavefront evaluation by intensity relationship

Details Spatial wavefront evaluation by intensity relationship Spatial wavefront evaluation by intensity relationship

G - Physics

01

J

G01J 9/02 (2006.01) G01J 9/00 (2006.01)

Patent

CA 2088649

SPATIAL WAVEFRONT EVALUATION BY INTENSITY RELATIONSHIP ABSTRACT OF THE DISCLOSURE A method, and apparatus for accomplishing the method, for determining a phase difference of a wavefront at a first (pupil) plane (P1), the wavefront propagating from the first plane to a second (image) plane (P2). The method includes the steps of providing an intensity of the wavefront at the first plane measuring an intensity of the wavefront at the second plane; and determining the phase difference of the wavefront at the first plane in accordance with a transfer function that employs the provided intensity of the wavefront at the first plane and the measured intensity of the wavefront at the second plane. A single expression describing an Optical Transfer Function is developed and is shown to involve only the unknown aperture phase and known quantities. A solution to this expression, achieved by a polynomial expansion technique or by a sampling technique, is shown to yield the phase at the aperture and, together with the intensity at the aperture, to define the aperture wavefront.

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