Current mainstream phase retrieval research is only applicable to monochromatic light wavelengths and relies on experimental devices such as narrowband filters. Especially when there is high noise or frequent reflections in the system, narrowband wavelengths may cause poor signal-to-noise ratio and unexpected artifacts, thereby reducing measurement accuracy. Therefore, phase retrieval with broadband sources has received widespread attention. In this paper, we proposed a fast broadband phase retrieval model based on Zernike coefficient matrix. Firstly, a coefficient matrix was established to represent the relationship between various Zernike coefficients at different wavelengths. In addition, we have utilized time division multiplexing technology to achieve a diffraction free iterative process, greatly improving computational efficiency. The numerical simulations are carried out to verify the effectiveness of broadband phase retrieval model.
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