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Numerical analysis of focal depth for continuous phase filters

The scalar diffractive theory for Gaussian beam has been taken into account to investigate the PSF of the focal plane. The simple slowly varying phase-only pupil filters are adopted to provide specific numerical descriptions to control the DOF of the optical systems. Simulated results of the continuous phase-only pupils in both axial and transverse directions have been presented. The impact of the structure parameters of pupil a and b on the performances of the light intensity distribution is discussed. Furthermore, some useful advices for the design of super-resolving pupils to increase DOF of the optical system based on Gaussian beam are given.