Two-step demodulation algorithm based on the orthogonality of diamond diagonal vectors

An advanced two-step phase demodulation algorithm is proposed based on the orthogonality of diamond diagonal vectors. By performing the subtraction and the addition of two background-eliminated interferograms, respectively, two corresponding orthogonal vectors are constructed easily. Then, the measured phase and the phase shifts can be extracted from the elements and lengths of these orthogonal vectors. In addition to maintaining advantages of the known two-step algorithms, the proposed algorithm reveals significantly faster computing speed, better accuracy and the readily comprehensible physical picture of the orthonormalization algorithm. Both the simulation and the experimental results demonstrate the outstanding performance of the proposed algorithm.

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