Abstract. In the last few years, interest in research and development into new ways of creating gradient index optics has increased dramatically. One approach revisited was to employ diffusion, governed by Fick’s law, to generate both axial and radial index gradients. However, Fick’s law of diffusion tends to yield index gradients that are mathematically uncommon in optical engineering and lens design. The impact of these new gradients on lens aberrations and image quality are not well understood. We will examine index gradients that can be described by (makeable by) solving Fick’s diffusion laws but limited by the assumptions made to simplify the mathematics, the most significant of these being a diffusion coefficient of 1 on both sides of the boundary (implying a concentration change only) and that the change in concentration yields a one-to-one change in refractive index.

中文翻译：

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检查由菲克定律扩散产生的指数梯度

摘要。在过去的几年里，人们对研究和开发创建梯度折射率光学的新方法的兴趣急剧增加。重新审视的一种方法是采用受菲克定律支配的扩散来生成轴向和径向折射率梯度。然而，菲克扩散定律倾向于产生在光学工程和镜头设计中数学上不常见的折射率梯度。这些新梯度对镜头像差和图像质量的影响尚不清楚。我们将研究可以通过求解 Fick 扩散定律来描述的指数梯度，但受为简化数学所做的假设所限制，