Role of asphericity in optical design

Role of asphericity in optical design
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DOI:
10.1117/12.22344
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发表时间:
1990-10
期刊:
--
影响因子:
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通讯作者:
P. Hall
P. Hall
中科院分区:
其他
文献类型:
--
作者:
P. Hall

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Hall最近发表的一篇论文考察了两项光学设计研究,其中使用了非球面以使系统受益。在佩兹瓦尔透镜系统的情况下,材料成本降低了。在Maksutov系统中,非球面的引入增加了系统长度和成本方面的选择自由度。所选的例子是不相关的,代表着完全不同的问题。这些设计是启发式的。设计过程采用手动校正赛德尔像差,然后进行阻尼最小二乘优化。由于这些研究是孤立的问题,因此对非球面光学设计的一般问题没有深入的了解。这个问题由于从赛德尔理论得到一般解所涉及的代数的难解性而变得复杂。由于所涉及的困难,也没有太多的球面设计先例来研究非球面系统。
A recent paper by Hall examined two optical design studies in which aspheric surfaces were used to benefit the system. In the case of a Petzval lens system the material cost was reduced. In a Maksutov system the introduction of aspheric surfaces resulted in increased freedom of choice in terms of system length and cost. The examples chosen were unrelated and represented radically different problems. The designs were created heuristically. The design process used manually corrected seidel aberrations, followed by damped least squares optimisation. Being isolated problems, the study gave no insight into the general problem of aspheric optical design. The problem is complicated by the intractability of the algebra involved in obtaining general solutions from seidel theory. Because of the difficulty involved, there is also not much spherical design precedent on which to base a study of aspheric systems.