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<!-- comment -->
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Microscope objectives: Plan correction</title>
<link rel="stylesheet" href="stylesheets/style.css">
<link rel="stylesheet" href="stylesheets/prism.css">
<script src="javascript/python-highlighting/prism.js"></script>
<script async src="javascript/Minimal-MathJax/MathJax.js?config=TeX-AMS_CHTML"></script>
<script src="javascript/update_figures.js"></script>
<script src="javascript/reference_list/reference_list.js"></script>
</head>
<body>
<section>
<a href="https://amsikking.github.io/">Home page</a>
<h1>amsikking: Microscope objectives</h1>
<a href="./index.html">Index</a>
<h2>Plan correction</h2>
<p>
An ideal objective would image a totally <em>flat</em> plane and be fully
'plan' corrected. In practice the lens design has to battle field curvature,
which naturally occurs when a series of (mostly positive) elements are combined
to make an objective
(<a class="citation" href="https://www.pearson.com/en-us/subject-catalog/p/Hecht-Optics-5th-Edition/P200000006793/9780137526420"
title="Optics, 5th edition; E. Hecht;
p268, ISBN-13: 9780133977226, ISBN-13: 9780137526420 (eBook),
(2016)">Hecht 2016</a>). From <a class="citation" href="https://doi.org/10.1515/aot-2019-0002"
title="Systematic design of microscope objectives. Part I: System review and analysis; Y. Zhang;
p326, (2019)">Zhang 2019</a>, an objective can be considered 'plan' corrected
if, the difference \(C\) between the best focus at the field edge and the best
axial focus, is less than 2.5x the <em>traditional depth of field</em>:
\[ C \leq 2.5 \frac{n\lambda}{NA^2} \tag{1}\]
So for sensitive applications this could be considered quite a <em>loose</em>
tolerance, and therefore, the field curvature on a <em>non-plan</em> objective
may be quite pronounced.
</p>
<figure>
<img src="figures/objective_plan_correction.png" alt="objective_plan_correction.png">
<figcaption>
(<a href="figures/objective_sketches.odp">.odp sketch</a>)
</figcaption>
</figure>
</section>
</body>
</html>