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Ophthalmic lens design with the optimization of the aspherical coefficients

机译：优化非球面系数的眼科镜片设计

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摘要

An efficient approach for the designing of ophthalmic lenses, based on the optimization of the aspherical surface coefficients is presented. We show that five optimization constraints are enough to both reduce the aberrations and prevent the development of inflection points along the aspherical surface. In particular, we solve the inflection point problem by counting the second derivative of the sag with respect to the height of the aspherical surface as one of the constraints. The design data indicate that nonconicoidal aspheric lenses can be made thinner and flatter than the equivalent spherical or conicoidal lenses. The traditional damped least-squares methods are used and design results are given for both aspherical negative lenses and aspherical positive lenses.
机译：提出了一种基于非球面面系数优化的眼科镜片设计方法。我们表明，五个优化约束足以减少像差并防止沿非球面的拐点发展。特别是，我们通过计算下垂相对于非球面高度的二阶导数作为约束之一来解决拐点问题。设计数据表明，非圆锥体非球面透镜可以比等效的球面或圆锥透镜更薄、更平坦。采用传统的阻尼最小二乘法，给出了非球面负透镜和非球面正透镜的设计结果。

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