The University of Melbourne

David Paganin

Keith A Nugent

Anton Barty

A method and apparatus for quantitative determination of the phase of a radiation wave field is disclosed. A representative measure of the rate of change of intensity of the radiation wave field over a selected surface extending generally across the wave field is transformed to produce a first integral transform representation. A first filter is applied to the first integral transform representation corresponding to the inversion of a first differential operator reflected in the measure of rate of change of intensity to produce a first modified integral transform representation. An inverse of the first integral transform is applied to the first modified integral transform representation to produce an untransformed representation. The untransformed representation is corrected based on a measure of intensity over said selected surface and again transformed to produce a second integral transform representation. A second filter is applied to the second integral transform representation corresponding to the inversion of a second differential operator reflected in the corrected untransformed representation to produce a second modified integral transform representation. An inverse of the second integral transform is applied to the second modified integral transform representation to produce a measure of phase of the radiation wave field across the selected plane.

Phase determination of a radiation wave field

A method of quantitative determination of the phase of a radiation wave field including the steps of producing a representative measure of the rate of change of intensity of the radiation wave field over a selected surface extending generally across the wave field; producing a representative measure of intensity of the radiation wave filed over the selected surface; transforming the measure of rate of change of intensity to produce a first integral transform representation and applying to the first integral transform representation a first filter corresponding to the inversion of a first differential operator reflected in the measure of rate of change of intensity to produce a first modified integral transform representation; applying an inverse of the first integral transform to the first modified integral transform representation to produce an untransformed representation; applying a correction based on the measure of intensity over the selected surface to the untransformed representation; transforming the corrected untransformed representation to produce a second integral transform representation and applying to the second integral transform representation a second filter corresponding to the inversion of a second differential operator reflected in the corrected untransformed representation to produce a second modified integral transform representation; and applying an inverse of the second integral transform to the second modified integral transform representation to produce a measure of phase of the radiation wave field across the selected plane.

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North Carlton, Australia

David Paganin