GRIN优化的李代数方法。

IF 1.5 3区物理与天体物理 Q3 OPTICS Journal of The Optical Society of America A-optics Image Science and Vision Pub Date : 2024-10-01 DOI:10.1364/JOSAA.532205

A Barion, M J H Anthonissen, J H M Ten Thije Boonkkamp, W L IJzerman

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引用次数: 0

摘要

李代数方法提供了一种系统的方法来确定非均匀介质中射线传播的像差系数。我们提出了基本的概念，并报告了任意旋转对称梯度指数（GRIN）透镜的像差系数的解析表达式。这些显式公式非常适合在中间优化步骤中不需要重复光线跟踪的优化例程的应用。我们优化了一个径向透镜，我们恢复了一个经典解，以及一个沿光轴非均匀项的GRIN透镜。

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Lie algebraic approach to GRIN optimization.

The Lie algebraic approach provides a systematic method to determine aberration coefficients for ray propagation in inhomogeneous media. We present the underlying concepts and report analytical expressions for aberration coefficients of arbitrary rotationally symmetric gradient-index (GRIN) lenses. These explicit formulas are well-suited for the application of optimization routines that do not require repeated ray tracing at intermediate optimization steps. We optimize a radial lens, for which we recover a classical solution, and a GRIN lens with inhomogeneous terms along the optical axis.

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来源期刊

Journal of The Optical Society of America A-optics Image Science and Vision 物理-光学

CiteScore

3.40

自引率

10.50%

发文量

417

审稿时长

3 months

期刊介绍： The Journal of the Optical Society of America A (JOSA A) is devoted to developments in any field of classical optics, image science, and vision. JOSA A includes original peer-reviewed papers on such topics as: * Atmospheric optics * Clinical vision * Coherence and Statistical Optics * Color * Diffraction and gratings * Image processing * Machine vision * Physiological optics * Polarization * Scattering * Signal processing * Thin films * Visual optics Also: j opt soc am a.