Interferogram phase evaluation through a differential equation technique

Authors:
Falih H. Ahmad;Ray M. Castellane
Affiliations:
Department of Engineering Technology, The University of North Carolina at Charlotte, Charlotte, NC 28223, USA;Department of The Army, Engineer Research and Development Center, Waterways Experiment Station, Vicksburg, MS 39180, USA
Venue:
Computers and Electrical Engineering
Year:
2004

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Abstract

A technique for the evaluation of the unknown phase of a spatial carrier interferogram is proposed in this paper. This technique is based on the formulation of a differential equation for the unknown phase. The coefficients of this equation are known functions. They are formulated with the aid of a modified Fourier transform method and Hilbert transform where they are functions of the measured interferogram. This equation is made discrete and solved through the application of a pseudospectral method. An illustrative example is given in which this technique is applied. Results generated from the application of this technique are compared with exact phase values, and exemplary agreement between the exact and approximate phase values is demonstrated.