The present invention provides methods to design centered imaging systems by solving differential equations derived from Fermat's principle. These imaging systems consist of a sequence of (moveable or fixed) spherical or aspherical surfaces, or combinations thereof. The power series solution approach allow calculating of a predefined number of surfaces parameters equal to a number of selected aberration terms to vanish nominally. In addition, the methods provide mapping functions coefficients that allow describing exactly where arbitrary rays intersect each individual surface.
|Status||Published - 2020|