A lens-free single-frame phase recovery method based on partially coherent light-emitting diode illumination

A lens-free single-frame phase recovery method based on partially coherent light-emitting diode illumination, comprising the steps of:

• Step 1, recording a hologram of the sample;
• Step 2, segmenting the broadband spectrum of the LED based on spectral prior knowledge and initializing a phase mask;
• Step 3, iteratively updating the complex amplitude of the object and obtaining phase information using digitally segmented sub-wavelengths from the captured hologram, which specifically includes:
• propagating the initial intensity to the focusing plane to determine the complex amplitude of the object using the sub-wavelength components of the broad-spectrum LED;
• applying phase support constraints and uniform light intensity constraints to the phase and amplitude, respectively;
• propagating the updated complex amplitude back to the sensor plane through angular spectrum projection to achieve the phase information at the sensor plane based on the current sub-wavelength segment, utilizing the captured hologram and the spectral priori weighting factor to refine the amplitude information;
• iterating through all sub-wavelengths to recover the phase.