The wavefront coding technology can improve the depth of focus of traditional optical systems. Thus, the influence of thermal defocus on the imaging quality of the infrared system canbe effectively reduced when applied the wavefront coding technology to the athermalization design process. Till now, the analysis of the athermalization wavefront coding system is all under the uniform temperature distribution condition. Aiming at the environment with uneven temperature and gradient distribution, this paper used the temperature gradient polynomial to simulate the temperature distribution model, and calculated the phase function of the typical phase mask. Modulation transfer function (MTF) and point spread function (PSF) are calculated by simulation methods. And analyzing the effects of different temperature gradient values and different temperature gradient orders by Hilbert angle, MTF area and Fisher information. The simulation results show that, the typical wavefront coding phase mask can work normal under a certain range of temperature gradient. When the simulation had been done at the thickness of the phase mask is 4mm and radius is 6mm, the cubic phase mask can still work properly in the gradient range [−10oC/mm, 10oC/mm . And the larger gradient order, the the greater the influence on the imaging of wavefront coding system.
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