Fig. 1. Schematic diagram of the pupil vector \begin{document}$ \overrightarrow \rho ' $\end{document} when a freeform surface located at a non-aperture location

Fig. 2. Flowchart of iterative algorithm for freeform surface optimization based on nodal aberration theory

Fig. 3. Simulation diagram of freeform surface telescopic eccentric system

Fig. 4. Wave aberration distribution map of the telescopic eccentric system ( \begin{document}$ {{\lambda = 632}}{\text{.8 nm}} $\end{document})

Fig. 5. Wave aberration distribution map of the eccentric telescope system before and after optimization by two methods ( \begin{document}$ {{\lambda = 632}}{\text{.8 nm}} $\end{document})

Fig. 6. Light spot patterns of the eccentric telescope system before and after optimization by two methods. (a) Before optimization; (b) After NAT optimization; (c) After SAT optimization

Fig. 7. MTF curve at the image plane of the system before and after optimizing by two methods

Fig. 8. Schematic diagram of aberration compensation experiment for telescopic eccentric system based on SLM

Fig. 9. Phase maps of freeform surfaces optimized by two methods. (a) NAT optimization; (b) SAT optimization

Fig. 10. Experimental spot patterns of the eccentric telescope system. (a) Before compensation; (b) After compensation by NAT optimization method; (c) After compensation by SAT optimization method