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plan_correction.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
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<title>amsikking: Plan correction</title>
</head>
<body>
<header>
<nav>
<ul>
<li><h1 style="margin-top: 0rem; margin-left: 1rem; margin-right: 1rem">amsikking:</h1></li>
<li><a href="https://amsikking.github.io/">Homepage</a></li>
<li><a href="https://github.com/amsikking/microscope_objectives">GitHub</a></li>
</ul>
</nav>
</header>
<main>
<h1>Microscope objectives</h1>
<p>An introduction to 'infinity' corrected microscope objectives.</p>
<a href="./index.html">Contents</a>
<section>
<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/plan_correction.png" alt="plan_correction.png">
<figcaption>
(<a href="figures/objective_sketches.odp">.odp sketch</a>)
</figcaption>
</figure>
</section>
</main>
</body>
</html>