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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Targets · SemiclassicalSFI.jl</title><script data-outdated-warner src="../assets/warner.js"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="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">SemiclassicalSFI.jl</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="../">Home</a></li><li><span class="tocitem">Theory</span><ul><li><a class="tocitem" href="../theory1_initial_conditions/">Initial Conditions</a></li><li><a class="tocitem" href="../theory2_trajectory_simulation_phase_methods/">Trajectory Simulation and Phase Methods</a></li></ul></li><li><span class="tocitem">Manual</span><ul><li class="is-active"><a class="tocitem" href>Targets</a><ul class="internal"><li><a class="tocitem" href="#Hydrogen-Like-Atom"><span>Hydrogen-Like Atom</span></a></li><li><a class="tocitem" href="#Single-Active-Electron-(SAE)-Atom"><span>Single-Active-Electron (SAE) Atom</span></a></li><li><a class="tocitem" href="#Preset-Atom-Library"><span>Preset Atom Library</span></a></li><li><a class="tocitem" href="#Molecule"><span>Molecule</span></a></li></ul></li></ul></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><a class="is-disabled">Manual</a></li><li class="is-active"><a href>Targets</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Targets</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com//blob/master/docs/src/manual1_targets.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="Targets"><a class="docs-heading-anchor" href="#Targets">Targets</a><a id="Targets-1"></a><a class="docs-heading-anchor-permalink" href="#Targets" title="Permalink"></a></h1><p><em>This section provides information of available targets (atoms/molecules) in the library.</em></p><p>A target interacts with the laser field and release the electron through multi-photon or tunneling processes. Here we list available targets implemented in the library.</p><h2 id="Hydrogen-Like-Atom"><a class="docs-heading-anchor" href="#Hydrogen-Like-Atom">Hydrogen-Like Atom</a><a id="Hydrogen-Like-Atom-1"></a><a class="docs-heading-anchor-permalink" href="#Hydrogen-Like-Atom" title="Permalink"></a></h2><p>A hydrogen-like atom has a potential of the form</p><p class="math-container">\[V(r) = -\frac{Z}{\sqrt{r^2+a}},\]</p><p>where <span>$Z$</span> is the nuclear charge number; <span>$a$</span> denotes the soft-core parameter, which is applied to avoid singularity of the potential and can be adjusted to fit the actual ionization potential of the atom (obtained by TDSE).</p><p>The hydrogen-like atom is implemented in the library as <a href="#SemiclassicalSFI.Targets.HydrogenLikeAtom"><code>Targets.HydrogenLikeAtom</code></a>.</p><article class="docstring"><header><a class="docstring-binding" id="SemiclassicalSFI.Targets.HydrogenLikeAtom" href="#SemiclassicalSFI.Targets.HydrogenLikeAtom"><code>SemiclassicalSFI.Targets.HydrogenLikeAtom</code></a> — <span class="docstring-category">Type</span></header><section><div><p>Represents a hydrogen-like atom.</p><p>An instance of <code>HydrogenLikeAtom</code> can be initialized via the constructor method:</p><pre><code class="language-julia hljs">HydrogenLikeAtom(Ip, Z, soft_core=1.0, name=&quot;[NA]&quot;)</code></pre><p>Example:</p><pre><code class="language-julia-repl hljs">julia&gt; t = Targets.HydrogenLikeAtom(Ip=0.5, Z=1.0, soft_core=1.0, name=&quot;H&quot;)
[HydrogenLikeAtom] Atom H, Ip=0.5, Z=1.0, SoftCore=1.0</code></pre></div></section></article><h2 id="Single-Active-Electron-(SAE)-Atom"><a class="docs-heading-anchor" href="#Single-Active-Electron-(SAE)-Atom">Single-Active-Electron (SAE) Atom</a><a id="Single-Active-Electron-(SAE)-Atom-1"></a><a class="docs-heading-anchor-permalink" href="#Single-Active-Electron-(SAE)-Atom" title="Permalink"></a></h2><p>The single-active-electron (SAE) atom is an implementation of the empirical atomic SAE model potential proposed by Tong <em>et al.</em> <sup class="footnote-reference"><a id="citeref-Tong_2005" href="#footnote-Tong_2005">[Tong_2005]</a></sup> The model potential of the SAE atom has the form</p><p class="math-container">\[V(r) = -\frac{Z + a_1 \mathrm{e}^{-b_1 r} + a_2 r \mathrm{e}^{-b_2 r} + a_3 \mathrm{e}^{-b_3 r}}{r},\]</p><p>where the <span>$a_i$</span> and <span>$b_i$</span> are tunable model potential parameters <sup class="footnote-reference"><a id="citeref-note" href="#footnote-note">[note]</a></sup>.</p><p>The SAE atom is implemented in the library as <a href="#SemiclassicalSFI.Targets.SAEAtom"><code>Targets.SAEAtom</code></a>.</p><article class="docstring"><header><a class="docstring-binding" id="SemiclassicalSFI.Targets.SAEAtom" href="#SemiclassicalSFI.Targets.SAEAtom"><code>SemiclassicalSFI.Targets.SAEAtom</code></a> — <span class="docstring-category">Type</span></header><section><div><p>Represents an atom under single-active-electron (SAE) approximation.</p><p>An instance of <code>SAEAtom</code> can be initialized via the constructor method:</p><pre><code class="language-julia hljs">SAEAtom(Ip, Z, a1=0.0, b1=0.0, a2=0.0, b2=0.0, a3=0.0, b3=0.0, name=&quot;[NA]&quot;)</code></pre><p>Example:</p><pre><code class="language-julia-repl hljs">julia&gt; t = Targets.SAEAtom(Ip=0.9035698802, Z=1.0, a1=1.230723, b1=0.6620055, a2=-1.325040, b2=1.236224, a3=-0.2307230, b3=0.4804286, name=&quot;He&quot;)
[SAEAtom] Atom He, Ip=0.9035698802, Z=1.0</code></pre></div></section></article><h2 id="Preset-Atom-Library"><a class="docs-heading-anchor" href="#Preset-Atom-Library">Preset Atom Library</a><a id="Preset-Atom-Library-1"></a><a class="docs-heading-anchor-permalink" href="#Preset-Atom-Library" title="Permalink"></a></h2><p>The library provides some preset commonly-used atoms or atomic ions for convenience.</p><ul><li><p><code>HydrogenLikeAtom</code>: H, He⁺, Li²⁺</p></li><li><p><code>SAEAtom</code>: He, Ne, Ne⁺, Ne²⁺, Ar, Ar⁺, Ar²⁺, V, Ni, Kr, Kr⁺, Rb, Nb, Pd, Xe, Xe⁺, Ta</p></li></ul><p>These atoms/ions can be obtained by invoking <code>Targets.**Atom()</code> (for neutral atoms) or <code>Targets.**#pAtom()</code> (for positive atomic ions), where <code>**</code> denotes the symbol of the nucleus and <code>#</code> denotes the positive charge the ion carries.</p><p>Example:</p><pre><code class="language-julia-repl hljs">julia&gt; t1 = Targets.HAtom()
[HydrogenLikeAtom] Atom H, Ip=0.5, Z=1.0, SoftCore=1.0

julia&gt; t2 = Targets.Xe1pAtom()
[SAEAtom] Atom Xe⁺, Ip=0.7708, Z=2.0</code></pre><h2 id="Molecule"><a class="docs-heading-anchor" href="#Molecule">Molecule</a><a id="Molecule-1"></a><a class="docs-heading-anchor-permalink" href="#Molecule" title="Permalink"></a></h2><section class="footnotes is-size-7"><ul><li class="footnote" id="footnote-Tong_2005"><a class="tag is-link" href="#citeref-Tong_2005">Tong_2005</a>X. M. Tong <em>et al.</em>, Empirical Formula for Static Field Ionization Rates of Atoms and Molecules by Lasers in the Barrier-Suppression Regime. <em>J. Phys. B: At. Mol. Opt. Phys.</em> <strong>38</strong>, 2593–2600. DOI: <a href="https://dx.doi.org/10.1088/0953-4075/38/15/001">10.1088/0953-4075/38/15/001</a></li><li class="footnote" id="footnote-note"><a class="tag is-link" href="#citeref-note">note</a>The symbols of the parameters are different from that in the original article. <span>$a_1, b_1, a_2, b_2, a_3, b_3$</span> correspond to <span>$a_1, a_2, a_3, a_4, a_5, a_6$</span> in the original article respectively.</li></ul></section></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../theory2_trajectory_simulation_phase_methods/">« Trajectory Simulation and Phase Methods</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="Tuesday 20 June 2023 15:02">Tuesday 20 June 2023</span>. Using Julia version 1.8.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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