The invention discloses a nonlinear lens based on a transformation material and a
Kerr effect and a design method, and belongs to the field of optical
signal processing and transformation materials. The nonlinear lens is a rectangular lens and is made of a nonlinear material. The spatial
refractive index distribution is designed by changing the optical principle, the path
instability in a dynamic
system is combined with the optical
Kerr effect, and the circular lens is adjusted into the square lens with the unstable
system path by utilizing the
spatial distribution of special material parameters; the weak
refractive index change is converted into violent offset of a
light beam output position under the
instability characteristic of a dynamic
system, and under the specific
refractive index distribution, the lens has a focusing effect on the
light beam propagating in the lens, so that the
light beam is enhanced in a local area, and then the nonlinear effect is enhanced; and an optical system with higher speed and lower
energy consumption is realized on a simpler device. According to the invention, conformal transformation is adopted, the
isotropy of a lens material is ensured, and manufacturing of a nonlinear lens is facilitated.