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<!-- comment -->
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Microscope objectives: Magnification</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>Magnification</h2>
<p>
The <em>transverse</em> magnification (\(M_T\)) is the most familiar
specification for an objective that is usually provided by the manufacturer.
However, this is slightly confusing, since an infinity corrected objective has
no image (without an additional lens). It is therefore implicity assumed that
the user of an objective will use the <em>manufacturer tube lens</em>, at which
point the object is magnified by:
\[ M_T = - \frac{y_i}{y_o} \tag{1}\]
where the negative sign is by convention and indicates and <em>inverted</em>
image (<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;
p164-165, ISBN-13: 9780133977226, ISBN-13: 9780137526420 (eBook),
(2016)">Hecht 2016</a>).
Ignoring the sign convention we can rewrite (1) in the form most familiar
to microscope users:
\[ Image = M_T \; Object \tag{2}\]
</p>
<figure>
<img src="figures/magnification.png" alt="magnification.png">
<figcaption>
(<a href="figures/objective_sketches.odp">.odp sketch</a>)
</figcaption>
</figure>
</section>
</body>
</html>