| Summary: | A complex modulation algorithm for focusing beam shaping with a phase-only spatial light modulator is designed. This method modulates the amplitude and phase of a collimated beam synchronously, and the modulated beam passing through an objective lens will generate a shaped focusing beam. The characteristic of the complex modulation was studied, while the Mixed-Region Amplitude Freedom (MRAF) method was selected as a comparative reference in this research. In the theoretical simulation, the complex modulation shows excellent performance with a roughness of 0.32% RMS and 0.54% MAX. Otherwise, to further verify this complex modulation algorithm, an experiment was implemented to generate a square-shaped focusing flattop beam. The complex modulation generated a flattop beam with a roughness of 3.1% RMS and 6.1% MAX, better than the MRAF method. This result also proves that this complex modulation has better robustness.
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