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	<title>ratio &#8211; Gnuplotting</title>
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	<description>Create scientific plots using gnuplot</description>
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		<title>Fixed ratio plot</title>
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		<dc:creator><![CDATA[hagen]]></dc:creator>
		<pubDate>Tue, 30 Nov 2010 16:28:17 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[ratio]]></category>
		<category><![CDATA[wave field]]></category>
		<guid isPermaLink="false">./../../../index.html?p=440</guid>

					<description><![CDATA[For some plots it is nice to have exactly the same size for the given unit on both axes. In Fig.1 you could see the amplitude of a point source in a given space. Fig. 1 Image plot of a wave field given by the data file data (code to produce this figure) The wave [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>For some plots it is nice to have exactly the same size for the given unit on both axes. In Fig.1 you could see the amplitude of a point source in a given space. </p>
<div class="figure">
    <img decoding="async" src="./../../../figs/wave_field.png" alt="Wave field" width="350"/></p>
<p class="caption">
        <strong>Fig. 1 </strong>Image plot of a wave field given by the data file <a href="./../../../data/wave_field.dat">data</a> (<a href="./../../../code/wave_field.gnu" type="text/plain">code to produce this figure</a>)
    </p>
</div>
<p>The wave field of the point source is given by Green&#8217;s function:</p>
<img src='http://s0.wp.com/latex.php?latex=G%28%5Cmathbf%7Bx%7D-%5Cmathbf%7Bx%7D_%5Ctext%7Bs%7D%2C%5Comega%29+%3D+%5Cfrac%7B1%7D%7B4%5Cpi+%7C%5Cmathbf%7Bx%7D-%5Cmathbf%7Bx%7D_%5Ctext%7Bs%7D%7C%7D+%5C%3B+e%5E%7Bi+%5Cfrac%7B%5Comega%7D%7Bc%7D+%7C%5Cmathbf%7Bx%7D-%5Cmathbf%7Bx%7D_%5Ctext%7Bs%7D%7C%7D&#038;bg=ffffff&#038;fg=000000&#038;s=1' alt='G(\mathbf{x}-\mathbf{x}_\text{s},\omega) = \frac{1}{4\pi |\mathbf{x}-\mathbf{x}_\text{s}|} \; e^{i \frac{\omega}{c} |\mathbf{x}-\mathbf{x}_\text{s}|}' title='G(\mathbf{x}-\mathbf{x}_\text{s},\omega) = \frac{1}{4\pi |\mathbf{x}-\mathbf{x}_\text{s}|} \; e^{i \frac{\omega}{c} |\mathbf{x}-\mathbf{x}_\text{s}|}' class='latex' />
<p>To apply the same sizes at both axes the <code>set ratio</code> command is the one to look after. A value of <code>-1</code> will ensure that we will get the same sizes.</p>
<pre class="prettyprint">
<span class="k">set</span> ratio <span class="n">-1</span>
</pre>
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