The point spread function (PSF) of imaging system with coded mask is generally acquired by practical measure-
ment with calibration light source. As the thermal radiation of coded masks are relatively severe than it is in
visible imaging systems, which buries the modulation effects of the mask pattern, it is difficult to estimate and
evaluate the performance of mask pattern from measured results. To tackle this problem, a model for infrared
imaging systems with masks is presented in this paper. The model is composed with two functional components,
the coded mask imaging with ideal focused lenses and the imperfection imaging with practical lenses. Ignoring
the thermal radiation, the systems PSF can then be represented by a convolution of the diffraction pattern of
mask with the PSF of practical lenses. To evaluate performances of different mask patterns, a set of criterion
are designed according to different imaging and recovery methods. Furthermore, imaging results with inclined
plane waves are analyzed to achieve the variation of PSF within the view field. The influence of mask cell size
is also analyzed to control the diffraction pattern. Numerical results show that mask pattern for direct imaging
systems should have more random structures, while more periodic structures are needed in system with image
reconstruction. By adjusting the combination of random and periodic arrangement, desired diffraction pattern
can be achieved.
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