  We propose a novel design methodology to tackle the multi-surface
catadioptric freeform lens design for off-axis road illumination applications
based on an ideal source. The lens configuration contains an analytic
refractive entrance surface, an analytic total internal reflective (TIR)
surface and two freeform exit surfaces. A curl-free energy equipartition is
established between the source and target plane and divided to implement the
composite ray mapping mechanism. Furthermore, the analytic TIR surface and
refractive entrance surface are optimized for the minimal Fresnel losses and
surface error based on genetic algorithm (GA). The results show a significant
improvement on illuminance uniformity and ultra-high transfer efficiency
compared to our proposed result in [Zhu et al., Opt. Exp. 26, A54-A65 (2018)].
