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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Post-processing and Visualisation · BEAST Documentation</title><script data-outdated-warner src="../warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../documenter.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">BEAST Documentation</a></span></div><form class="docs-search" action="../../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../../">BEAST.jl documentation</a></li><li><a class="tocitem" href="../../assemble/">The Matrix Assemble Routine</a></li><li class="is-active"><a class="tocitem" href>Post-processing and Visualisation</a><ul class="internal"><li><a class="tocitem" href="#Field-computation"><span>Field computation</span></a></li></ul></li><li><a class="tocitem" href="../../quadstrat/">Quadrature strategies</a></li><li><a class="tocitem" href="../../tdefie/">Solving the Time Domain EFIE using Marching-on-in-Time</a></li><li><a class="tocitem" href="../../tutorial/">Tutorial</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Post-processing and Visualisation</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Post-processing and Visualisation</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/krcools/BEAST.jl/blob/master/docs/src/assets/postproc.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Post-processing-and-Visualisation"><a class="docs-heading-anchor" href="#Post-processing-and-Visualisation">Post-processing and Visualisation</a><a id="Post-processing-and-Visualisation-1"></a><a class="docs-heading-anchor-permalink" href="#Post-processing-and-Visualisation" title="Permalink"></a></h1><h2 id="Field-computation"><a class="docs-heading-anchor" href="#Field-computation">Field computation</a><a id="Field-computation-1"></a><a class="docs-heading-anchor-permalink" href="#Field-computation" title="Permalink"></a></h2><p>The main API for the computation of fields in a vector of points is the potential function. This function is capable of computing</p><p class="math-container">\[F(x) = \int_{\Gamma} K(x,y) u(y) dy\]</p><p>with <span>$u(y) = \Sigma_{i=1}^N u_i f_i(y)$</span> and <span>$K(x,y)$</span> the integation kernel defining the type of potential. For example, the far field for a vector valued surface density is</p><p class="math-container">\[F(x) = \int_{\Gamma} e^{ik \frac{x \cdot y}{|x|}} u(y) dy\]</p><p>For a far field potential such as this, the value only depends on the direction, not the magnitude, of <span>$x$</span>, as can be read off from the normalisation in the exponent.</p><p>The following script computes the far field along a semi-circle in the xz-plane.</p><pre><code class="language-julia hljs">Θ, Φ = range(0.0,stop=2π,length=100), 0.0 | ||
dirs = [point(cos(ϕ)*sin(θ), sin(ϕ)*sin(θ), cos(θ)) for θ in Θ for ϕ in Φ] | ||
farfield = potential(MWFarField3D(wavenumber=κ), dirs, u, X)</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../assemble/">« The Matrix Assemble Routine</a><a class="docs-footer-nextpage" href="../../quadstrat/">Quadrature strategies »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Thursday 8 June 2023 10:02">Thursday 8 June 2023</span>. Using Julia version 1.9.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> | ||
farfield = potential(MWFarField3D(wavenumber=κ), dirs, u, X)</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../assemble/">« The Matrix Assemble Routine</a><a class="docs-footer-nextpage" href="../../quadstrat/">Quadrature strategies »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Sunday 9 July 2023 13:53">Sunday 9 July 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> |
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