| 摘要 |
The invention relates to a method that is characterised in that it can be used to design aspheric lenses having "zero spherical aberration", which can be represented using parametric mathematical functions with a method that can be used to calculate the thicknesses of the lenses in a precise manner, thereby avoiding the use of series approximation used in the optical industry to design lenses and eliminating the concept of "reduced spherical aberration". The aforementioned lenses can also be used to improve the visual health of many people, owing to the fact that they have no spherical aberration. The anterior or posterior corrective surfaces (noting that the designs are reversible) can be easily produced using different manufacturing processes, such as CNC machining and moulding. Assuming that: a) all of the incident radiation is completely refracted; b) the material of the lens is ideally isotropic and homogeneous; c) it is immersed in a medium that is also isotropic and homogenous; and d) the refracting interfaces are ideally continuous, the resulting lenses with "zero spherical aberration" to be designed using this method have an optimum image point spread function (PSF) for an on-axis object point, with waves that "converge towards" or "diverge from" the image point, as a byproduct of: the successive internal reflections of the light that is not radially polarised, the maximum resolution of the surface at an atomic scale, and the self-phase modulation and the non-linear dispersion effects if the light intensities are very high. These waves can also be refracted in the positive direction of axis z, since the electric field of the wave is always oscillating in the plane r-z; thereby producing an image of the object point with spread, which must not be confused with spherical aberration or diffraction effects. The invention paves the way for a new generation of optical instruments and lenses that will allow progress in many human disciplines. |
