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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fphy.2020.00068</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Improving the Detection Sensitivity for Laser-Induced Breakdown Spectroscopy: A Review</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Fu</surname> <given-names>Xinglan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/825802/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Guanglin</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Dong</surname> <given-names>Daming</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/928375/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Beijing Key Laboratory of Digital Plant, National Engineering Research Center for Information Technology in Agriculture, Beijing Academy of Agriculture and Forestry Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>College of Engineering and Technology, Southwest University</institution>, <addr-line>Chongqing</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Yufei Ma, Harbin Institute of Technology, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Lianbo Guo, Huazhong University of Science and Technology, China; Ann Ollila, Los Alamos National Laboratory (DOE), United States; Yoshihiro Deguchi, Tokushima University, Japan</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Daming Dong <email>damingdong&#x00040;hotmail.com</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Optics and Photonics, a section of the journal Frontiers in Physics</p></fn></author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>03</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="collection">
<year>2020</year>
</pub-date>
<volume>8</volume>
<elocation-id>68</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>11</month>
<year>2019</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>02</month>
<year>2020</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2020 Fu, Li and Dong.</copyright-statement>
<copyright-year>2020</copyright-year>
<copyright-holder>Fu, Li and Dong</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><p>Laser-induced breakdown spectroscopy (LIBS) is fast, on-line, causes little sample damage, and can be applied in remote field locations. In recent years, LIBS has been widely used in many fields of scientific research for element detection. Further application of LIBS is limited by the strong matrix effect, poor repeatability, and relatively weak detection sensitivity. The detection sensitivity is an important factor and needs to be improved for LIBS detection of minor or trace elements in samples. A variety of methods have been developed to improve detection sensitivity of LIBS. In this invited review paper, we discuss improvements in the LIBS detection sensitivity achieved with physical enhancement methods, chemical enhancement methods, mathematical methods, and combinations of multiple methods. We discuss the enhancement mechanisms, sensitivity improvements, configurations, and effects of key factors for various methods. The advantages, disadvantages, and real-time capabilities of these methods are reviewed. Finally, new trends and future perspectives for LIBS as an efficient analytical tool are discussed.</p></abstract>
<kwd-group>
<kwd>laser-induced breakdown spectroscopy</kwd>
<kwd>detection sensitivity</kwd>
<kwd>physical enhancement</kwd>
<kwd>chemical enhancement</kwd>
<kwd>mathematical method</kwd>
</kwd-group>
<contract-num rid="cn001">31600417</contract-num>
<contract-num rid="cn001">31622040</contract-num>
<contract-sponsor id="cn001">Innovative Research Group Project of the National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/100014718</named-content></contract-sponsor>
<counts>
<fig-count count="4"/>
<table-count count="1"/>
<equation-count count="0"/>
<ref-count count="108"/>
<page-count count="11"/>
<word-count count="8593"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Laser-induced breakdown spectroscopy (LIBS) is an effective technique for rapid elemental analysis. Quantitative and qualitative results are obtained from the emission spectra of various elements using plasma generated by laser ablation of the sample [<xref ref-type="bibr" rid="B1">1</xref>]. LIBS is increasingly used in multifarious on-site inspections, such as nuclear waste detection [<xref ref-type="bibr" rid="B2">2</xref>], molten steel analysis [<xref ref-type="bibr" rid="B3">3</xref>&#x02013;<xref ref-type="bibr" rid="B5">5</xref>], and examination of fruit pesticide residues [<xref ref-type="bibr" rid="B6">6</xref>], heritage [<xref ref-type="bibr" rid="B7">7</xref>], environment [<xref ref-type="bibr" rid="B8">8</xref>], biology [<xref ref-type="bibr" rid="B9">9</xref>], and agriculture [<xref ref-type="bibr" rid="B10">10</xref>]. In addition to solid samples, LIBS can be used with liquids [<xref ref-type="bibr" rid="B11">11</xref>], gases [<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>], and aerosols [<xref ref-type="bibr" rid="B14">14</xref>] because it is flexible, fast, and causes little damage to samples [<xref ref-type="bibr" rid="B15">15</xref>]. Because of these characteristics, the application range of LIBS has continued to expand.</p>
<p>Further application of LIBS is limited by a strong matrix effect, poor repeatability, and relatively weak sensitivity [<xref ref-type="bibr" rid="B16">16</xref>]. The elimination of matrix effect and improvement of repeatability have been investigated in many studies [<xref ref-type="bibr" rid="B17">17</xref>&#x02013;<xref ref-type="bibr" rid="B23">23</xref>]. However, the sensitivity still restricts the application of LIBS in both qualitative and quantitative analyses. Compared with X-ray fluorescence, the limit of detection (LOD) of LIBS is usually approximately an order of magnitude higher [<xref ref-type="bibr" rid="B24">24</xref>]. For detection of elements in most solids, the LOD of LIBS is 1&#x02013;100 parts per million [<xref ref-type="bibr" rid="B25">25</xref>], which cannot meet the demands for detection of many trace substances.</p>
<p>To improve the sensitivity, a variety of methods have been developed. Some of these methods improve the LIBS signal intensity by changing the LIBS setup, such as adding a second laser pulse for secondary heating of the plasma [<xref ref-type="bibr" rid="B26">26</xref>&#x02013;<xref ref-type="bibr" rid="B30">30</xref>]. In other methods, the sensitivity is improved by chemical treatment of the sample, such as chemical replacement to preconcentrate the element of interest in the sample [<xref ref-type="bibr" rid="B31">31</xref>&#x02013;<xref ref-type="bibr" rid="B34">34</xref>]. Furthermore, mathematical methods, such as multivariate analysis instead of univariate analysis [<xref ref-type="bibr" rid="B35">35</xref>, <xref ref-type="bibr" rid="B36">36</xref>], can be used to improve the sensitivity of the predictive model.</p>
<p>This review presents a brief overview of recent methods used for improving the LIBS detection sensitivity. We discuss the advantages and disadvantages of these methods in consideration of the sensitivity improvement, simplicity, and real-time capability. This paper provides a reference for rational use of these methods.</p>
</sec>
<sec id="s2">
<title>Physical Enhancement Methods</title>
<sec>
<title>Double Pulse Method</title>
<p>Conventional LIBS uses a strong laser to break down a sample into plasma. However, the detection sensitivity is poor. A double-pulse LIBS (DP-LIBS) method has been proposed to improve the sensitivity of LIBS. There are several possible mechanisms could explain the signal enhancement of DP-LIBS, such as pulse-plasma coupling effects, sample heating effects, and atmospheric effects [<xref ref-type="bibr" rid="B37">37</xref>, <xref ref-type="bibr" rid="B38">38</xref>]. At the same time, the plasma temperature and electron density were increased due to the re-ablation of second laser in DP-LIBS [<xref ref-type="bibr" rid="B39">39</xref>]. Accordingly, the spectral intensity and the detection sensitivity were increased. Spectral intensity and LOD improvements achieved with DP-LIBS in recent years are shown in <xref ref-type="table" rid="T1">Table 1</xref>. Because the plasma lifetime is often &#x0003C;10 &#x003BC;s, which is far less than the minimum interval between two laser pulses at present, a double pulse system must use two lasers, which greatly increases the cost of the LIBS system.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>The applied examples of DP-LIBS in recent years.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Samples</bold></th>
<th valign="top" align="left"><bold>Elements</bold></th>
<th valign="top" align="left"><bold>Configuration of DP-LIBS</bold></th>
<th valign="top" align="left"><bold>System parameters (&#x00394;t: inter pulse delays)</bold></th>
<th valign="top" align="left"><bold>Results</bold></th>
<th valign="top" align="center"><bold>References</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Aluminum alloy</td>
<td valign="top" align="left">Al, Mg</td>
<td valign="top" align="left">Pre-ablation orthogonal</td>
<td valign="top" align="left">Pre-ablation laser:<break/> 1,064 nm,100 mJ;<break/> ablation laser: 50 mJ;<break/> &#x00394;t: 30 &#x003BC;s.</td>
<td valign="top" align="left">Eh factor&#x0007E;<break/>15 with<break/> SNR</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B40">40</xref>]</td>
</tr>
<tr>
<td valign="top" align="left">Al 6463</td>
<td valign="top" align="left">Al, Mg</td>
<td valign="top" align="left">Orthogonal</td>
<td valign="top" align="left">Ps laser: 1,064 nm, 50 mJ;<break/> Ns laser: 1,064 nm, 100 mJ;<break/> &#x00394;t:150 ns.</td>
<td valign="top" align="left">Eh&#x0007E;<break/>6-fold</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B41">41</xref>]</td>
</tr>
<tr>
<td valign="top" align="left">Brass</td>
<td valign="top" align="left">Fe, Cu</td>
<td valign="top" align="left">Crossed beam (5&#x000B0;)</td>
<td valign="top" align="left">Laser 1:<break/> 1.064 &#x003BC;m, 2&#x02013;100 mJ;<break/> Laser 2: 10.6 &#x003BC;m, 400 mJ.</td>
<td valign="top" align="left">Eh&#x0007E;<break/>S/N: 14 times,<break/> S/B: 15 times.</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B28">28</xref>]</td>
</tr>
<tr>
<td valign="top" align="left">Copper</td>
<td valign="top" align="left">Cu</td>
<td valign="top" align="left">Collinear and orthogonal</td>
<td valign="top" align="left">1,064 &#x0002B; 532 nm.</td>
<td valign="top" align="left">Eh&#x0007E;<break/>Collinear: 50 times,<break/> Orthogonal: 15 times.</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B42">42</xref>]</td>
</tr>
<tr>
<td valign="top" align="left">Mica</td>
<td valign="top" align="left">Al, Si, Mg, Na</td>
<td valign="top" align="left">Orthogonal</td>
<td valign="top" align="left">Laser 1: 266 nm; Laser 2:<break/> 213 nm, 64 mJ.cm<sup>&#x02212;2</sup>;<break/> &#x00394;t:10 ns.</td>
<td valign="top" align="left">Eh&#x0007E;2 order of magnitude</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B27">27</xref>]</td>
</tr>
<tr>
<td valign="top" align="left">Soil, plant and fertilizer</td>
<td valign="top" align="left">C, Mg, Si, Fe, Ca, P, Sr</td>
<td valign="top" align="left">Orthogonal</td>
<td valign="top" align="left">Laser 1: 532 nm, 1&#x02013;32 mJ;<break/> Laser 2: 1,064 nm, 50 mJ;<break/> &#x00394;t:10 &#x003BC;s, 0.6 &#x003BC;s.</td>
<td valign="top" align="left">Eh&#x0007E;<break/>155-fold (4 mJ, &#x00394;t:10 &#x003BC;s);<break/> 3-fold (&#x02265;16 mJ, &#x00394;t: 0.6 &#x003BC;s).</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B43">43</xref>]</td>
</tr>
<tr>
<td valign="top" align="left">Steel</td>
<td valign="top" align="left">Fe, Cr</td>
<td valign="top" align="left">Collinear</td>
<td valign="top" align="left">800 &#x0002B; 400 nm;<break/> &#x00394;t:2 &#x003BC;s.</td>
<td valign="top" align="left">Eh&#x0007E;<break/>10 times</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B44">44</xref>]</td>
</tr>
<tr>
<td valign="top" align="left">Metallic and oxide materials</td>
<td valign="top" align="left">Cu, Ti, Sr</td>
<td valign="top" align="left">Crossed beam (45&#x000B0;)</td>
<td valign="top" align="left">Laser 1: 800 nm, 150 mJ;<break/> Laser 2: 400 nm, 30 &#x003BC;J;<break/> &#x00394;t:300 ps.</td>
<td valign="top" align="left">Eh&#x0007E;<break/>I<sub>DP</sub>/I<sub>SP</sub> = 2&#x02013;30</td>
<td valign="top" align="center">[<xref ref-type="bibr" rid="B45">45</xref>]</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Ps, picoseconds; Ns, nanoseconds; LOD, limit of detection; Eh, enhancement; RSD, relative standard deviation; SNR, signal-to-noise ratio; I<sub>DP</sub>, spectral intensity from double-pulse LIBS; I<sub>SP</sub>, spectral intensity from single-pulse LIBS</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>In the DP-LIBS configuration, the physical positions and angles of the two lasers greatly affect the spectral intensity. The two laser beams can be combined in collinear, orthogonal, and crossover modes. The orthogonal mode includes orthogonal preheating and orthogonal reheating [<xref ref-type="bibr" rid="B46">46</xref>]. <xref ref-type="fig" rid="F1">Figure 1</xref> shows a schematic diagram of several laser positions. In addition to the physical location of the laser, the laser wavelength also affects the signal enhancement. For example, Ahmed et al. [<xref ref-type="bibr" rid="B47">47</xref>] studied the enhancement effect of iron in orthogonal measurements using first (&#x003BB;<sub>1</sub>) and second (&#x003BB;<sub>2</sub>) wavelengths of &#x003BB;<sub>1</sub> = &#x003BB;<sub>2</sub> = 532, &#x003BB;<sub>1</sub> = &#x003BB;<sub>2</sub> = 1,064, and &#x003BB;<sub>1</sub> = 532 and &#x003BB;<sub>2</sub> = 1,064 nm. The enhancement factors obtained using different wavelength combinations varied and the maximum enhancement factor was 30 times.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Various configuration of DP-LIBS: <bold>(A)</bold> collinear; <bold>(B)</bold> dual pulse crossed beam; <bold>(C)</bold> orthogonal preheating; <bold>(D)</bold> orthogonal reheating; Labels (P-1) and (P-2) indicate the plasma produced by pulse1 and pulse 2, respectively.</p></caption>
<graphic xlink:href="fphy-08-00068-g0001.tif"/>
</fig>
<p>With the development of solid-state lasers, two fast pulses can be output by one laser, which greatly reduces the cost and complexity of DP-LIBS. For instance, some researchers have obtained a 3-fold signal enhancement with collinear dual-beam detection of lunar mimics [<xref ref-type="bibr" rid="B48">48</xref>]. The drawback of this method is that the two laser pulses can only work in a collinear mode and the focus position has to be consistent. Therefore, better signal enhancement can be obtained by using two lasers than one in double pulse system. For the above three modes, secondary heating of the plasma or ablation of the sample was completed using a different laser. The inter-pulse delay of the two lasers was mainly realized by a timing controller. However, Liu et al. [<xref ref-type="bibr" rid="B49">49</xref>] used the method for reheating plasma and adjusting the inter-pulse delay by adjusting the optical path difference. The laser output from the ordinary laser was split into two beams, and one of them was used to complete the first breakdown on the sample surface. The second beam was then focused on the sample to achieve a second breakdown after the optical path was increased for the second beam. In this way, a DP-LIBS measurement was achieved with one laser. An enhancement factors of 2&#x02013;32 times was obtained for the ionic and atomic lines as compared to the single pulse LIBS.</p>
<p>Besides, a method of long-short DP-LIBS was proposed to improve the sensitivity of LIBS. Compared with traditional DP-LIBS, a laser with a wider pulse (&#x003BC;s) was used as second laser in long-short DP-LIBS. The Deguchi&#x00027;s team have been done deep research about long-short DP-LIBS. For example, they proposed the collinear long and short DP-LIBS to detect the solid sample. The results showed that the plasma became more stable and sustained when using a long pulse-width laser (pulse width of 60 &#x003BC;s) as external energy, and marked enhancement were obtained compared to single-pulse LIBS [<xref ref-type="bibr" rid="B50">50</xref>]. Further, the spectral signal was enhanced about 3&#x02013;7 times by long-short DP-LIBS comparing to conventional SP-LIBS when detecting the standard steel samples [<xref ref-type="bibr" rid="B51">51</xref>]. In the subsequent study, they used long-short DP-LIBS to detect the Mn content in steel. The results showed that the <italic>R</italic><sup>2</sup> of calibration curve was improved from 0.810 to 0.988 using long-short DP-LIBS compared to SP-LIBS. In addition, the RSD was reduced from 29.3% (SP-LIBS) to 10.5% (long-short DP-LIBS) [<xref ref-type="bibr" rid="B52">52</xref>].</p>
<p>Furthermore, an interesting method named resonant DP-LIBS has been proposed to achieve spectral enhancement. In this case, the second laser is replaced by an optical parametric oscillator wavelength-tunable laser to reheat the plasma. When the laser wavelength is equal to an excited line of a target element, the atoms of the target element absorb laser photons and then emit strong fluorescence [<xref ref-type="bibr" rid="B53">53</xref>]. The spectral intensity achieved using resonant DP-LIBS is approximately 1&#x02013;2 orders of magnitude higher than that with signal pulse LIBS. In one study, the resonant DP-method was used to analyze aluminum alloy and decrease the LODs of Mg and Si to 0.7 and 50 fg, respectively [<xref ref-type="bibr" rid="B54">54</xref>]. This method has also been used to detect TiO<sub>2</sub> aerosols, achieving a signal enhancement of 220 times [<xref ref-type="bibr" rid="B55">55</xref>].</p>
</sec>
<sec>
<title>Atmosphere Control Method</title>
<p>When the laser ablates the sample, the surrounding gas is ablated simultaneously to produce a plasma plume. The composition of the gas greatly affect formation and diffusion of this plasma plume. Thus, the LIBS signal can be enhanced and the detection sensitivity increased by changing the atmosphere in which the sample is placed. The enhancement method under ambient atmosphere is to use an inert gas (e.g., N<sub>2</sub>, Ar, and He). An inert gas has a lower conductivity and specific heat than air, so its breakdown threshold is low. For example, Kim et al. [<xref ref-type="bibr" rid="B56">56</xref>] injected argon (25 L/min) into a sample chamber to increase the signal intensities of the main elements by 2&#x02013;3 times when detecting Cu(In,Ga)Se<sub>2</sub> samples. Son et al. [<xref ref-type="bibr" rid="B57">57</xref>] researched the signal improvement of Al under Ar gas environment of 0.5 MPa. The results showed that the spectral intensity of Al I increased by 6 times, and the maximum spectral intensity of Al II increased by more than 12 times. Lin et al. [<xref ref-type="bibr" rid="B58">58</xref>] studied the enhancement effect of different atmospheres (1&#x02013;80 kPa pressure, He and Ar) using femtosecond laser to detect Al. The experimental results showed that the intensity of Al I was enhanced by 4 times in Ar gas, which was higher than in air and He [<xref ref-type="bibr" rid="B59">59</xref>]. In addition, Jiang et al. [<xref ref-type="bibr" rid="B60">60</xref>] investigated the signals of steel samples at different pressures (vacuum: 10&#x02013;6 mbar; N<sub>2</sub>: 1.0 mbar and 0.3 mbar; Ar: 2.1 and 1.5 mbar; He: 25 and 28 mbar). The LODs of C in N<sub>2</sub>, Ar, He, and vacuum were 2.9, 3.6, 5.7, and 13.6 ppm, respectively. And the LODs of S were 1.5 ppm (N<sub>2</sub>), 2.4 ppm (Ar), 3.4 ppm (He), and 8.9 ppm (vacuum), respectively. However, because the gas protection enhancement method often requires a closed air chamber based on the traditional LIBS structure, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, this method increases the complexity and cost of the system hardware.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>An example of the structure of a closed air chamber.</p></caption>
<graphic xlink:href="fphy-08-00068-g0002.tif"/>
</fig>
</sec>
<sec>
<title>Spatial Constraint Method</title>
<p>In addition to modification of the LIBS hardware and control of the ambient atmosphere, external field assistance can also be used as a physical enhancement method to improve the sensitivity of LIBS detection. Spatial constraint is one external field assistance method. A spatial constraint device can be added on the periphery of the sample to achieve spectral enhancement. Then, a shockwave can be generated after the generation and expansion of the laser-induced plasma in air. The shockwave will be reflected back when it encounters obstacles such as a plate wall or a cylindrical wall and will compress the plasma plume during expansion [<xref ref-type="bibr" rid="B61">61</xref>]. Therefore, a higher plasma temperature and electron density, and a stronger spectral signal will be obtained. <xref ref-type="fig" rid="F3">Figure 3</xref> shows a morphological comparison of plasma with and without constraint devices. It can be seen from the <xref ref-type="fig" rid="F3">Figure 3</xref> that the shockwave is reflected back to the center of the plasma under the effect of spatial constraint device. On the contrary, when there is no spatial constraint device, the shockwave expands around.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>The morphological comparison of plasmas <bold>(A)</bold> with restraint device; <bold>(B)</bold> without restraint device.</p></caption>
<graphic xlink:href="fphy-08-00068-g0003.tif"/>
</fig>
<p>Spatial constraint is a very simple method to improve the sensitivity of LIBS and requires no or little modification of the LIBS system. Common spatial constraint devices forms are the parallel plate, hemispherical, cylindrical, and rectangular cavity. Currently, the hemispherical form is considered to provide the best enhancement effect. A hemispherical device with a circular hole on the top as a channel for laser pulse focusing could be designed to allow for reflection and confinement of the expansion shockwave on the inner surface of device, which would achieve signal enhancement. The main parameters that affect a spatial constraint device are the hemisphere diameter, hole diameter, and thickness of the hemisphere wall. The enhancement effects of hemispheres with diameters of 4, 5, 6, and 7 mm have been investigated. When the hemisphere diameter was 5 mm, the correlation coefficient (<italic>R</italic><sup>2</sup>) of V(I)/Fe(I) improved from 0.946 to 0.981. Similarly, the <italic>R</italic><sup>2</sup> of Cr(I)/Fe(I) and Mn(I)/Fe(I) increased from 0.973 to 0.986 and from 0.945 to 0.981, respectively [<xref ref-type="bibr" rid="B61">61</xref>].</p>
<p>Traditional spatial constraint can result in formation of laser-induced craters. When multiple pulses hit a sample, the LIBS signal generated by later pulses will be enhanced because of the formation of craters by the initial pluses [<xref ref-type="bibr" rid="B62">62</xref>]. Spectral enhancement occurs because the laser pulse crater has a binding effect on the plasma [<xref ref-type="bibr" rid="B63">63</xref>].</p>
</sec>
<sec>
<title>Magnetic Constraint Method</title>
<p>Magnetic constraint is another common external field assistance method for improving LIBS sensitivity. Application of the magnetic constraint method is very similar to that of spatial constraint. This method replaces the spatial constraint device around the sample with a magnetic field device. Under the magnetic field, charged particles inside the plasma that are excited on the surface of the sample will move in a circular or spiral motion because of the Lorentz force [<xref ref-type="bibr" rid="B64">64</xref>]. This may slow down expansion of the plasma plume, increase the emission duration, improve the probability of electron-ion recombination, and result in enhancement of the emission line intensities [<xref ref-type="bibr" rid="B65">65</xref>].</p>
<p>One of the simplest applications of magnetic confinement uses a magnetic ring as a magnetic field to constrain the plasma. Hao et al. [<xref ref-type="bibr" rid="B64">64</xref>] designed a magnetic ring to investigate the effect of a magnetic field. The outer diameter, inner diameter, and height of the magnetic ring were 12.7, 3.2, and 6.3 mm, respectively. LODs of 11 ppm for V and 30 ppm for Mn were obtained with the magnetic ring, and these were lower than those obtained with a degaussed magnet (18 ppm for V and 41 ppm for Mn) [<xref ref-type="bibr" rid="B64">64</xref>]. Dong et al. [<xref ref-type="bibr" rid="B66">66</xref>] used a combination of metal nanoparticlea, super-hydrophobic, and magnetic confiment to detect Cu in solution. This method gave a signal intensity enhancement of approximately 5&#x02013;6 orders of magnitude. Although a magnetic ring is simple and easy to apply as an external magnetic field device, the magnetic field of a magnetic ring cannot be adjusted. Therefore, Cheng et al. [<xref ref-type="bibr" rid="B67">67</xref>] used a pair of magnetic poles to form a magnetic field to constrain plasma. In their experiments, a magnetic field of 0.67 T was applied in analysis of a copper sheet. The detection results showed that the signal intensity of Cu(I) was enhanced 3&#x02013;4 times, and those of Cu(II) and Cu(III) were enhanced 6&#x02013;8 times. Although the enhancement effect of magnetic field is very good in laboratory, it is inconvenient to the filed for <italic>in-situ</italic> detection.</p>
</sec>
</sec>
<sec id="s3">
<title>Chemical Enhancement Methods</title>
<sec>
<title>Nanoparticle Surface Enhancement Method</title>
<p>Chemical enhancement methods can also be used to improve the LIBS detection sensitivity. Sample pre-treatment is the main method used to achieve chemical enhancement, especially nanoparticle surface enhancement. The enhancement mechanism of nanoparticle-enhanced LIBS differs for conductors and insulators [<xref ref-type="bibr" rid="B68">68</xref>]. <xref ref-type="fig" rid="F4">Figure 4</xref> shows the ablation process of nanoparticles on conductors and insulators. It can be seen from the figure that, for conductors, when NPs are deposited on the surfaces of metals and other conductors, surface plasmons of the nanoparticle formed by the laser electromagnetic field couple with the electric field to produce a field enhancement. As a result of the enhanced electromagnetic field, the inward acceleration of free electrons in the direction of the laser pulse propagation results in faster ablation of the material, which results in enhancement [<xref ref-type="bibr" rid="B69">69</xref>]. As for insulators, enhancement mainly occurs because of the resonance between nanoparticles and local surface plasma from the sample. Strong local heating is generated on the surface of the sample, which stimulates the surface of the sample to produce more plasma and enhance the spectral signal [<xref ref-type="bibr" rid="B70">70</xref>].</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>The Schematic diagram of nanoparticles acting on <bold>(a)</bold> conductive sample and <bold>(b)</bold> dielectric sample: (1) laser radiation; (2) ionization and breakdown; (3) plasma generation; (4) crater.</p></caption>
<graphic xlink:href="fphy-08-00068-g0004.tif"/>
</fig>
<p>Nanoparticle-enhanced LIBS is mainly affected by the type, radius, and concentration of the nanoparticles. The enhancement effects of nanoparticles of different types (Au, Ag, Cu, and Pt), sizes (e.g., 20 and 10 nm Ag), and concentrations (e.g., 0.02 and 0.01 mg.mL<sup>&#x02212;1</sup> 10 nm Ag) have been investigated. Enhancements of 1&#x02013;2 orders of magnitude were obtained for metal samples [<xref ref-type="bibr" rid="B69">69</xref>, <xref ref-type="bibr" rid="B70">70</xref>]. Furthermore, the enhancement effects of Au nanoparticles for PbCl<sub>2</sub>, Pb (NO<sub>3</sub>)<sub>2</sub>, and AgNO<sub>3</sub> have been investigated. The results showed that the LODs of Pb and Ag were 2 pg and 0.2 pg, respectively [<xref ref-type="bibr" rid="B71">71</xref>, <xref ref-type="bibr" rid="B72">72</xref>]. Poggialini et al. [<xref ref-type="bibr" rid="B73">73</xref>] used Greensynthetized silver nanoparticles to enhance the spectral intensities of Zn and Cr in copper and obtained LODs for Zn and Cr of 6 ppm and 0.1 ppm, respectively. Wen et al. [<xref ref-type="bibr" rid="B74">74</xref>] used LIBS combined with Au nanoparticles to detect Cu<sup>2&#x0002B;</sup>, Pb<sup>2&#x0002B;</sup>, and Cr<sup>3&#x0002B;</sup> in the solution, and the LODs of Cr, Pb, and Cu in the solution were 0.5, 0.5, and 1.1 g.ml<sup>&#x02212;1</sup>, respectively. In addition, Wu et al. [<xref ref-type="bibr" rid="B75">75</xref>] achieved a LOD of 13 ppb for K by combining amphiphiles with nanoparticles for adsorption and enrichment of K in KCl solution. The application of nanoparticles for molecular bands detection was studied by Koral et al. [<xref ref-type="bibr" rid="B76">76</xref>] An order of magnitude enhancement of AlO signal was achieved by 20 nm Ag nanoparticles when detecting aluminum alloy. Metal nanoparticles are simple to use and can greatly improve the detection sensitivity; however, metal nanoparticles will contaminate samples.</p>
</sec>
<sec>
<title>Chemical Replacement Methods</title>
<p>It is well-known that LIBS of liquid samples suffers from problems such as spattering, quenching, and short plasma lifetimes. Therefore, some researchers have proposed chemical replacement methods for pretreatment of liquid samples to improve the sensitivity of LIBS. The replacement can be implemented by methods such as liquid&#x02013;liquid extraction, liquid&#x02013;solid transformation, and surface-enhanced LIBS.</p>
<p>Liquid&#x02013;liquid extraction can improve the LIBS sensitivity for liquid samples. Some special elements can be extracted and enriched by adding special chemical reagents to the solution before detection of LIBS. In the study of Aguirre et al. [<xref ref-type="bibr" rid="B77">77</xref>] dispersive liquid&#x02013;liquid microextraction has been used to detect Cr, Cu, and Mn in water. The signal intensity obtained with this method was 4&#x02013;5 times that of traditional LIBS and the LODs of the elements decreased by 3.7&#x02013;5.6 times. In their subsequent research, they proposed a method of single-drop microextraction, which improved the detection sensitivity by 2.0&#x02013;2.6 times, and the detection limit of Cr, Mn, Ni, Cu, and Zn elements in the solution was in range of 21&#x02013;301 mg/kg [<xref ref-type="bibr" rid="B78">78</xref>]. However, liquid&#x02013;liquid extraction suffers from some problems as the extraction process can be cumbersome and use dangerous chemical reagents.</p>
<p>To improve liquid&#x02013;liquid extraction shortcomings, researchers have proposed the liquid-solid conversion method. The method was realized by using solid-phase media to enrich the elements of object in liquid samples, then the solid-phase media was detected by LIBS. The sensitivity was improved by the effect of enrichment. For example, nanographite and electrospun ultrafine fibers have been used to adsorb heavy metal ions in solution and increase the LODs [<xref ref-type="bibr" rid="B58">58</xref>, <xref ref-type="bibr" rid="B79">79</xref>]. However, the liquid&#x02013;solid conversion is a physical adsorption process and the adsorption efficiency is limited by the adsorption medium. Therefore, some researchers have proposed using an electrochemical reaction method. In one study, two aluminum sheets were used as an electrode to displace Cu in solution and achieve a LOD of 500 part per trillion [<xref ref-type="bibr" rid="B80">80</xref>]. Although the electrochemical conversion improved the displacement efficiency, the requirement for an applied electric field increased the complexity of the LIBS structure.</p>
<p>Researchers discovered that it was possible to improve the LIBS sensitivity by dropping a small amount of liquid sample onto the surface of a selected solid substrate, drying it, and then exciting the dried sample by LIBS. The method was defined surface-enhanced LIBS (SENLIBS) [<xref ref-type="bibr" rid="B32">32</xref>]. For example, the SELIBS method had been to reduce the LODs of Mn and K to 6 and 0.53 &#x003BC;g.g<sup>&#x02212;1</sup>, respectively [<xref ref-type="bibr" rid="B81">81</xref>, <xref ref-type="bibr" rid="B82">82</xref>]. In addition, Yang et al. [<xref ref-type="bibr" rid="B32">32</xref>] have used the SENLIBS method to simultaneously detect La, Ce, Pr, and Nd in solution. Compared with the filter paper method, the LODs of these elements increased by 2&#x02013;4 times. They also detected some metallic elements in the solution using chemical replacement combined with SENLIBS, and the minimum detection limits were 0.250 g.ml<sup>&#x02212;1</sup> (Cu), 0.118 g.ml<sup>&#x02212;1</sup> (Pb), 0.420 g.ml<sup>&#x02212;1</sup> (Cd) and 0.025 g.ml<sup>&#x02212;1</sup> (Cr), respectively [<xref ref-type="bibr" rid="B34">34</xref>].</p>
</sec>
</sec>
<sec id="s4">
<title>Mathematical Methods</title>
<p>Mathematical processing of spectral data acquired by LIBS can be used to improve the sensitivity. With a mathematical method, the spectrum can be fully used and matrix interference can be reduced, which improves the prediction ability of the model. In principle, mathematical methods are divided into univariate methods and multivariate methods. The univariate methods mainly include single linear regression [<xref ref-type="bibr" rid="B83">83</xref>], internal standard [<xref ref-type="bibr" rid="B84">84</xref>], and external standard [<xref ref-type="bibr" rid="B85">85</xref>]. Commonly used multivariate methods include partial least squares [<xref ref-type="bibr" rid="B86">86</xref>], artificial neural network [<xref ref-type="bibr" rid="B87">87</xref>, <xref ref-type="bibr" rid="B88">88</xref>], partial least squares regression [<xref ref-type="bibr" rid="B89">89</xref>], least squares support vector machines [<xref ref-type="bibr" rid="B90">90</xref>, <xref ref-type="bibr" rid="B91">91</xref>], and random forest [<xref ref-type="bibr" rid="B92">92</xref>].</p>
<p>The univariate analysis method extracts the peak intensity of the target element from the spectrum and then establishes a fit between the intensity of the spectrum and the content of the element to obtain the relationship between them. However, because of self-priming and self-etching in the spectral line or interference from other peaks, the fitting result with a single variable is poor and the model has poor prediction ability and is difficult to apply practically. Therefore, multivariate methods have been used to filter redundant information in the spectrum and extract useful information to obtain a quantitative model with strong predictive ability [<xref ref-type="bibr" rid="B93">93</xref>]. For example, the univariate model <italic>R</italic><sup>2</sup> obtained using a single Cd line was 0.2316 for quantitative analysis of Cd in fresh vegetables. The band at 211.03&#x02013;229.57 nm was extracted to increase the <italic>R</italic><sup>2</sup> of calibration set to 0.98 and the <italic>R</italic><sup>2</sup> of validation set to 0.99 with the partial least squares model [<xref ref-type="bibr" rid="B94">94</xref>]. When predicting the melamine contents in milk samples, researchers used an artificial neural network to increase the <italic>R</italic><sup>2</sup> obtained from a univariate algorithm from 0.982 to 0.999. Similarly, the mean prediction error and standard deviation decreased from 24 to 5% and from 2.2 to 0.3%, respectively [<xref ref-type="bibr" rid="B95">95</xref>]. In addition, for prediction of S and P elements in alloy steel, the <italic>R</italic><sup>2</sup> using a univariate algorithm were 0.8532 and 0.8936, respectively. When using the sequential backward selection-random forest, the <italic>R</italic><sup>2</sup> increased to 0.9991 (S) and 0.9994 (P) [<xref ref-type="bibr" rid="B96">96</xref>]. It is noted that incorrect spectral analysis methods can lead to poor analytical performance of LIBS. Therefore, it is important to choose appropriate mathematical methods based on the characteristics of the spectrum.</p>
</sec>
<sec id="s5">
<title>Other Methods</title>
<p>The methods used to improve the sensitivity of LIBS detection also include spark assisted LIBS, flame assisted LIBS and microwave-assisted LIBS (MW-LIBS). With the assistance of microwaves, the transmission time of the plasma is maintained by hundreds of microseconds to milliseconds [<xref ref-type="bibr" rid="B97">97</xref>]. As the lifetime of plasma extended, the emission intensity also enhanced. For example, Tampo et al. [<xref ref-type="bibr" rid="B98">98</xref>] used 2.45 GHz, 250 W microwave pulses to assist LIBS in detecting nuclear fuel. The results showed that Gd spectral signal could be enhanced by 50 times, and the minimum detection limit could reach 40 ppm. The enhancement effect was very significant. Alwahabi&#x00027;s team used microwave-assisted LIBS to detect Cu/Al<sub>2</sub>O<sub>3</sub> solid samples. The results showed that the Cu spectral signal was enhanced by 100 times, and the detection limit reached 8.1 ppm [<xref ref-type="bibr" rid="B99">99</xref>]. At the same time, they also used MW-LIBS to detect the liquid samples. The results showed that the detection limit of MW-LIBS (10.8 &#x000B1; 0.7 ppm) was greatly improved compared with that of traditional LIBS (124 &#x000B1; 5 ppm) [<xref ref-type="bibr" rid="B100">100</xref>]. In spark-assisted LIBS, the detection sensitivity of LIBS was improved by using a high voltage pulse to re-excite the plasmas. It was proved that using a coil with a length of 50 m and a resistance value of 50 &#x003A9; to re-excite the plasma on the surface of the aluminum alloy could improve the signal-to-noise ratio by an order of magnitude [<xref ref-type="bibr" rid="B101">101</xref>]. Martinez et al. [<xref ref-type="bibr" rid="B102">102</xref>] also obtained enhancement of two orders of magnitude by applying a 600 kW electric pulse to assist LIBS [<xref ref-type="bibr" rid="B102">102</xref>]. Flame assist is another method to improve the spectral signal intensity of LIBS. Liu et al. [<xref ref-type="bibr" rid="B103">103</xref>] used neutral acylene flame assist LIBS to test aluminum alloy samples, and proved that the spectral lines of atoms and ions in the flame environment were enhanced by 4 times and 3 times, respectively. Although these methods improve the detection sensitivity of LIBS to some extent, they increase the cost and complexity of the system. At the same time, the above methods are impractical for <italic>in-situ</italic> measurement, because they increase the operation difficulty in filed.</p>
</sec>
<sec id="s6">
<title>Combination of Multiple Methods</title>
<p>To further improve the sensitivity of LIBS, researchers have considered combining the above methods. Because DP-LIBS can greatly improve the detection sensitivity, many studies have investigated combining other physical methods with DP-LIBS. For example, steel samples have been analyzed by DP-LIBS in combination with the ambient atmosphere method. The enhancement effects of different inert gases (N<sub>2</sub>, Ar, and He) at different pressures on plasma were investigated. Compared with a single pulse, the detection limits of C(III) and S(V) were reduced from 12.6 to 3.6 parts per million and from 9.8 to 2.4 parts per million, respectively [<xref ref-type="bibr" rid="B60">60</xref>]. In another study, spatial constraint was combined with DP-LIBS to enhance Si spectral lines by 2&#x02013;3 times [<xref ref-type="bibr" rid="B104">104</xref>]. An enhancement factor of 70 for Al(I) (308.2 nm) was achieved using magnetic confinement in combination with DP-LIBS [<xref ref-type="bibr" rid="B105">105</xref>]. Magnetic confinement has been combined with the ambient atmosphere control method. The results showed that Mg(II) signals were enhanced 3 times in argon at 1 kPa and 1.5 times in argon at 80 kPa [<xref ref-type="bibr" rid="B106">106</xref>]. In the chemical enhancement methods, nanoparticles can greatly improve the detection sensitivity. Therefore, combination of nanoparticles with DP-LIBS has been investigated, and was found to increase the LIBS signal 30 times [<xref ref-type="bibr" rid="B107">107</xref>]. Resin enrichment combined with the spatial constraint method reportedly decreases the LOD of Cd from 0.3 to 0.132 mg.kg<sup>&#x02212;1</sup> [<xref ref-type="bibr" rid="B108">108</xref>].</p>
</sec>
<sec id="s7">
<title>Conclusions and Prospects</title>
<p>In this invited review paper, we summarize various techniques proposed by researchers in recent years for improving the poor detection sensitivity of LIBS. These methods can be divided into physical, chemical, mathematical methods, MA-LIBS, spark-assisted LIBS, and flame assisted LIBS. The physical methods include the double-pulse method, environmental atmosphere control method, spatial constraint, and magnetic confinement. The chemical methods include nanoparticle surface enhancement and chemical replacement. Researchers have demonstrated the enhancements achieved with these methods for metals, soils, gemstones, liquids, gases, and foods. In these studies, the LODs were reduced to part per million levels and even part per trillion levels in some cases. Furthermore, the signal could be enhanced several tens of times and simple non-linear regression can be improved by more than 10 times. The mechanism, enhancement effect, change in plasma temperature, and electron density with each method have been thoroughly investigated. In conclusion, the detection sensitivity of LIBS could be greatly improved using these methods and by combination of multiple methods. However, there are some problems with these methods, such as complicated experimental configurations and high costs. In addition, some methods are difficult to realize for portable rapid detection instruments. With the continuous development of science and technology, exploration and discovery can introduce new materials and innovative methods to improve the detection sensitivity of LIBS. It is important that the complexity and cost of the LIBS systems is decreased for rapid field measurements. With improvements in the sensitivity and repeatability of LIBS, as well as miniaturization and improvement of the practicability of the instrument, LIBS technology will have greater potential for rapid field measurements in various areas.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>XF: writing&#x02014;original draft and editing. GL: investigation. DD: investigation, methodology, and conceptualization.</p>
<sec>
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</sec>
</body>
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<fn-group>
<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> This work was supported by National Natural Science Foundation of China (Grant Nos. 31600417 and 31622040).</p>
</fn>
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