Freeform surfaces are widely used in optical design, due to the high design degree of freedom. The aberration theory of freeform optics can better lead designers to obtain a good structure. However, the existing aberration theory of freeform optics is only suitable for the optical system with a relatively small field of view (FOV). In this case, each field area (footprint) shows approximately the same shape and size, and positions of footprints across a surface have a linear relationship with fields. A wide FOV freeform optical system is analyzed in this paper. Parameters of all fields based on real-ray trace and non-linear interpolation can be employed to calculate the aberration generated by freeform terms. Then, to correct aberrations, coefficients of freeform terms are calculated using the least-square fitting method. By bringing back the coefficients to the optical system, the result shows great performance when using non-linear interpolation.
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