In this paper, the Transport of Intensity Equation (TIE) for testing of an aspheric surface is verified experimentally. Using simulation, a proper defocus distance Δ𝑧 that leads to an accurate solution of TIE is estimated whenever the conic constant and configuration of the experiment are known. To verify this procedure a non-nulled experiment for testing an aspheric is used. For verification of the solution, the results are compared with the Shack-Hartmann sensor. The theoretical method and experimental results are compared to validate the results.
Recently the transport–of–intensity equation (TIE) has extended from one wave to two waves and then applied to calculate the phase of the interference field. In this work we will present the experimental verification of the application of TIE in the reconstruction of two interfering wavefronts. A Fizeau interferometer with phase shift capability is used for testing a flat surface. An error analysis is performed on the difference between the reconstructed wavefronts using TIE and the one measured wavefronts using phase shifting method. The error analysis shows some systematic errors with RMS value less than 0.5rad or λ/10. The issues such as computation time and spatial resolution of the reconstructed waves are discussed and possible applications of the presented method are given.
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