Goos-Hänchen shift in the miniaturized total internal reflection lens

Abstract

For certain applications, total internal reflection (TIR) lenses are potentially more effective compared with refractive lenses and reflection mirrors since they permit more light power to go through the optical system. The efficiency of such lenses becomes even more prominent for miniature systems application where light absorption has negligible effect compared with the reflection losses at the interfaces. However, at such scales, the effect of Goos-Hänchen shift that associates the TIR should be accounted for in order to design a proper surface profile of the TIR lenses. It has been shown that a useful design that determines the total internal reflective surface profile can be obtained by solving an ordinary differential equation; such results facilitate realizing effective macro- and micro-scale lenses that are highly useful in integrated optics circuits and miniature optical systems.