Estimation of LiBr-H2O Using Multimode Interference (MMI)
E.E. Antúnez-Cerón1, M.A. Basurto-Pensado1, A.R. Mejía-Aranda1, R.J. Romero1, J.J. Sánchez-Mondragón2, H.H. Cerecedo-Núñez3, A. Ochoa-Zezzati4
1 Centro de Investigación en Ingeniería y Ciencias Aplicadas Universidad Autónoma del Estado de Morelos Cuernavaca, Mor., México
2 Instituto Nacional de Astrofísica, Óptica y Electrónica Instituto de Investigaciones Eléctricas Tonantzintla, Pue., México
3 Universidad VeracruzanaXalapa, Veracruz, México.
4 Universidad Autónoma de Ciudad Juárez Cd. Juárez, Tamaulipas, México
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Parts under constructions are shown dashed. The diagram shows a simplified flow of computation from text to ontologies</p>" ] ] ] "autores" => array:1 [ 0 => array:2 [ "autoresLista" => "I. Toledo-Gómez, E. Valtierra-Romero, A. Guzmán-Arenas, A. Cuevas-Rasgado, L. Méndez-Segundo" "autores" => array:5 [ 0 => array:2 [ "nombre" => "I." "apellidos" => "Toledo-Gómez" ] 1 => array:2 [ "nombre" => "E." "apellidos" => "Valtierra-Romero" ] 2 => array:2 [ "nombre" => "A." "apellidos" => "Guzmán-Arenas" ] 3 => array:2 [ "nombre" => "A." "apellidos" => "Cuevas-Rasgado" ] 4 => array:2 [ "nombre" => "L." "apellidos" => "Méndez-Segundo" ] ] ] ] ] "idiomaDefecto" => "en" "EPUB" => "https://multimedia.elsevier.es/PublicationsMultimediaV1/item/epub/S1665642314716025?idApp=UINPBA00004N" "url" => "/16656423/0000001200000001/v2_201505081640/S1665642314716025/v2_201505081640/en/main.assets" ] "en" => array:15 [ "idiomaDefecto" => true "titulo" => "Estimation of LiBr-H2O Using Multimode Interference (MMI)" "tieneTextoCompleto" => true "paginas" => array:1 [ 0 => array:2 [ "paginaInicial" => "41" "paginaFinal" => "44" ] ] "autores" => array:1 [ 0 => array:3 [ "autoresLista" => "E.E. Antúnez-Cerón, M.A. Basurto-Pensado, A.R. Mejía-Aranda, R.J. Romero, J.J. Sánchez-Mondragón, H.H. Cerecedo-Núñez, A. Ochoa-Zezzati" "autores" => array:7 [ 0 => array:3 [ "nombre" => "E.E." "apellidos" => "Antúnez-Cerón" "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">1</span>" "identificador" => "aff0005" ] ] ] 1 => array:4 [ "nombre" => "M.A." "apellidos" => "Basurto-Pensado" "email" => array:1 [ 0 => "mbasurto@uaem.mx" ] "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">1</span>" "identificador" => "aff0005" ] ] ] 2 => array:3 [ "nombre" => "A.R." "apellidos" => "Mejía-Aranda" "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">1</span>" "identificador" => "aff0005" ] ] ] 3 => array:3 [ "nombre" => "R.J." "apellidos" => "Romero" "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">1</span>" "identificador" => "aff0005" ] ] ] 4 => array:3 [ "nombre" => "J.J." "apellidos" => "Sánchez-Mondragón" "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">2</span>" "identificador" => "aff0010" ] ] ] 5 => array:3 [ "nombre" => "H.H." "apellidos" => "Cerecedo-Núñez" "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">3</span>" "identificador" => "aff0015" ] ] ] 6 => array:3 [ "nombre" => "A." "apellidos" => "Ochoa-Zezzati" "referencia" => array:1 [ 0 => array:2 [ "etiqueta" => "<span class="elsevierStyleSup">4</span>" "identificador" => "aff0020" ] ] ] ] "afiliaciones" => array:4 [ 0 => array:3 [ "entidad" => "Centro de Investigación en Ingeniería y Ciencias Aplicadas Universidad Autónoma del Estado de Morelos Cuernavaca, Mor., México" "etiqueta" => "1" "identificador" => "aff0005" ] 1 => array:3 [ "entidad" => "Instituto Nacional de Astrofísica, Óptica y Electrónica Instituto de Investigaciones Eléctricas Tonantzintla, Pue., México" "etiqueta" => "2" "identificador" => "aff0010" ] 2 => array:3 [ "entidad" => "Universidad VeracruzanaXalapa, Veracruz, México." "etiqueta" => "3" "identificador" => "aff0015" ] 3 => array:3 [ "entidad" => "Universidad Autónoma de Ciudad Juárez Cd. Juárez, Tamaulipas, México" "etiqueta" => "4" "identificador" => "aff0020" ] ] ] ] "textoCompleto" => "<span class="elsevierStyleSections"><span id="sec0005" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">1</span><span class="elsevierStyleSectionTitle" id="sect0015">Introduction</span><p id="par0005" class="elsevierStylePara elsevierViewall">Bromide-water (LiBr-H<span class="elsevierStyleInf">2</span>O) mixture is widely used as a refrigerant solution in absorption heat pumps (AHP) and heat transformers. AHP represent a suitable technology for low-quality energy recovery, which in most cases is released into the environment, producing a noxious impact <a class="elsevierStyleCrossRef" href="#bib0005">[1]</a>. Actually, LiBr concentration is not calculated <span class="elsevierStyleItalic">“in situ”</span> in the AHP's. There are two conventional techniques to estimate it: Refractometry and the Dühring Diagram. It is of important to know the LiBr concentration to prevent reaching the crystallization point of the solution at the given operating conditions. With this, we will avoid severe damage to the AHP components. An alternative method to estimate LiBr concentration is using operating sensors based on the solution optical properties (e.g. the refractive index, n). An optical methodology provides information on the identity of the atomic/molecular species in the analyte (qualitative analysis) or quantitative information such as the amount of one or more components (quantitative analysis) [<a class="elsevierStyleCrossRefs" href="#bib0010">2–3</a>]. Multimode interference (MMI) effect is proposed as a technique which relates the refractive index (n) of the LiBr-H<span class="elsevierStyleInf">2</span>O mixture and the LiBr concentration.</p><p id="par0010" class="elsevierStylePara elsevierViewall">Recently, MMI effects occurring in SMS (singlemode-multimode-singlemode) fiber structures were investigated and used for both sensing and signal processing applications [<a class="elsevierStyleCrossRefs" href="#bib0020">4–9</a>]. These optical devices offer an all-fiber solution with the advantages of easy of manufacturing, packaging and interconnection to other optical fibers. In addition, they offer the possibility of sensing by a simple system based on intensity measurements.<a name="p42"></a></p></span><span id="sec0010" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">2</span><span class="elsevierStyleSectionTitle" id="sect0020">Experimental Details</span><span id="sec0015" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">2.1</span><span class="elsevierStyleSectionTitle" id="sect0025">Principle of Operation</span><p id="par0015" class="elsevierStylePara elsevierViewall">A useful basis for getting a better understanding of MMI in a multimode waveguide is the phenomenon of self-imaging, which loosely can be defined as the property of multimode waveguides of reproducing the input field, at periodic given distances, by constructive interference. The self-imaging phenomenon in a waveguide, due to MMI, was initially studied and described elsewhere <a class="elsevierStyleCrossRef" href="#bib0050">[10]</a>. The specific characteristics of the constructive interference in a realistic waveguide leads to single or multiple images of the input field and images and pseudoimages at periodic intervals along the propagation direction of the waveguide.</p><p id="par0020" class="elsevierStylePara elsevierViewall">Therefore the MMF section of a SMS fiber structure can support many guided modes, and thus, an input field coupled to the MMF can reproduce a single self-image or multiple-images (pseudo-images) at regular intervals along the MMF waveguide due to constructive interference between all guided modes. In order to obtain a self-image, the phase difference between all guided modes has to be an integer multiple of 2π so that all modes interfere in phase and the input field can be reproduced at the end of the MMF section. This effect has been extensively studied <a class="elsevierStyleCrossRef" href="#bib0050">[10]</a> and the length <span class="elsevierStyleItalic">(L)</span> where self-images are formed in the MMF section is given by:<elsevierMultimedia ident="eq0005"></elsevierMultimedia></p><p id="par0025" class="elsevierStylePara elsevierViewall">The self-image distance <span class="elsevierStyleItalic">(L)</span> is a function of the physical properties of the waveguide (the refractive index <span class="elsevierStyleItalic">n<span class="elsevierStyleInf">core</span></span> and the core radius <span class="elsevierStyleItalic">a</span> of the MMF section) the operating wavelength <span class="elsevierStyleItalic">(λ)</span>, and the parameter <span class="elsevierStyleItalic">p</span> that denotes the constructive interference number (self-image). Such constructive interference can occur at periodic intervals defined by p (p<span class="elsevierStyleHsp" style=""></span>=<span class="elsevierStyleHsp" style=""></span>1/4, 1/2, 1/3), at these lengths the formed images are called pseudo-images. A self-image will show a profile of a narrow width and a high amplitude, while pseudo-images will show a wide width and a low amplitude (e.g., p<span class="elsevierStyleHsp" style=""></span>=<span class="elsevierStyleHsp" style=""></span>1/4); the closer to a value of p<span class="elsevierStyleHsp" style=""></span>=<span class="elsevierStyleHsp" style=""></span>1, the narrower is the width of the profile and the amplitude increase. In this research we focused our interest in the particular value of p<span class="elsevierStyleHsp" style=""></span>=<span class="elsevierStyleHsp" style=""></span>1/4, since this value is characterized by a wide gaussian output field profile. This sensing technique is based in obtaining a shift of the signal with the change of the environment.</p></span><span id="sec0020" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">2.2</span><span class="elsevierStyleSectionTitle" id="sect0030">Analyte Preparation</span><p id="par0030" class="elsevierStylePara elsevierViewall">Different composition ratios of thirteen LiBr-H2O concentrations were prepared (<a class="elsevierStyleCrossRef" href="#tbl0005">Table 1</a>); all in a total volume of 10<span class="elsevierStyleHsp" style=""></span>ml. Table 1 also shows the refractive index of each one of these concentrations, which was determined by refractometry.</p><elsevierMultimedia ident="tbl0005"></elsevierMultimedia><p id="par0035" class="elsevierStylePara elsevierViewall">Fig.1 shows the experimental setup for MMI, which consists of a butterfly laser diode (1555 nm) and its driver, the SMS fiber structure (sensing element), an InGaAs photodetector (FG04A, Thorlabs), the filtering and signal amplification electronics, a data acquisition board (USB-6259, National Instruments) and a graphical user interface (GUI) implemented in LabVIEW.</p></span><span id="sec0025" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">2.3</span><span class="elsevierStyleSectionTitle" id="sect0035">SMS Fiber</span><p id="par0040" class="elsevierStylePara elsevierViewall">We use a SMS optical fiber such that the MMF and SMF sections have a step refractive index profiles. The sensing element (MMF) has a core diameter of 125<span class="elsevierStyleHsp" style=""></span>μm, without cladding, and a refractive index of 1.440. The SMF sections have a core diameter of 10<span class="elsevierStyleHsp" style=""></span>μm and a diameter, including the cladding, up to 125<span class="elsevierStyleHsp" style=""></span>μm (to match the core diameter of the MMF). The respective refractive indexes are 1.450 for the cladding and 1.461 for the core. The SMS <a name="p43"></a>fiber was operated at a wavelength of 1555<span class="elsevierStyleHsp" style=""></span>nm. The length <span class="elsevierStyleItalic">(L)</span> of the MMF section was 14.55<span class="elsevierStyleHsp" style=""></span>mm to reproduce the first pseudo-image, of the input profile, at the exact output end of the MMF section. This particular type of optical fiber has a unique characteristic: the core is exposed, i.e., no cladding surrounds the core in the sensing area (MMF section). A schematically diagram of the SMS fiber used is shown in Figure 2.</p><p id="par0045" class="elsevierStylePara elsevierViewall">The MMF section plays the sensing role as shown in Figure 2, since this section has no cladding and its exposed core acts as a sensing element when is in contact (or surrounded) with any medium, material, or as in our case, a LiBr-H<span class="elsevierStyleInf">2</span>O solution. The solution acts as the cladding of the core to produce a transmitted intensity response at the distant end of the SMS fiber. This effect is produced due to the MMF section and therein is dimensioned to a specific length (14.55<span class="elsevierStyleHsp" style=""></span>mm) to reproduce only a pseudo-image of the input profile. The shift experienced for this pseudo-image will generate different transmitted intensity responses for each concentration of the mixture in which the sensing fiber was immersed.</p><p id="par0050" class="elsevierStylePara elsevierViewall">The SMS fiber was operated at 1555<span class="elsevierStyleHsp" style=""></span>nm. The output profile of the self-image at the output end of the SMS fiber structure is shown in Figure 3, this output profile corresponds to the spectral response of the SMS fiber in air (as cladding) at the abovementioned wavelength. We expect that this profile experiences a shift (in the direction of the waveguide propagation) when the SMS (specifically the MMF section) is immersed in different concentrations of the LiBr-H<span class="elsevierStyleInf">2</span>O mixture, thus obtaining larger intensity optical responses.</p></span></span><span id="sec0030" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">3</span><span class="elsevierStyleSectionTitle" id="sect0040">Results and Discussion</span><p id="par0055" class="elsevierStylePara elsevierViewall">The transmitted intensity response of the SMS fiber in the experimental setup (Figure 1) was characterized using its equivalent voltage response. On the other hand, we knew that each solution of the mixture had a different refractive index (n) thus each generated response was supposed to show a difference in the intensity. The results obtained with MMI (as voltages responses) are shown in Figure 4.</p><p id="par0060" class="elsevierStylePara elsevierViewall">From Figure 4, it can be observed three trends in the experiment as we increase in the concentration. First: the voltage signal increases for the four first concentrations. Second: the voltage signal decreases as we increase in the concentration of the mixture, and third: it is observed an increase in the voltage signal for the highest concentrations.</p><p id="par0065" class="elsevierStylePara elsevierViewall">Such non monotonic behavior finds its explanation on the optical fibers operation principle. It establishes that for guiding, the refractive index of the core must be greater than the refractive index of the cladding; that is n<span class="elsevierStyleInf"><span class="elsevierStyleItalic">core</span></span><span class="elsevierStyleHsp" style=""></span>> <span class="elsevierStyleHsp" style=""></span>n<span class="elsevierStyleInf"><span class="elsevierStyleItalic">cladding</span></span>. We could estimate experimentally the ncore of the MMF section and it was found to be close to 1,440. Thus it can established that an increase in the LiBr concentration also increases the refractive index of the solution. At a particular concentration, the n<span class="elsevierStyleInf"><span class="elsevierStyleItalic">core</span></span> refractive index will be overcome by the solution's refractive index (cladding) causing light dispersion off the core of the MMF section.</p><p id="par0070" class="elsevierStylePara elsevierViewall">The first tendency involves solutions of LiBr-H<span class="elsevierStyleInf">2</span>O at concentrations between 44.30% and 50.87%. For these concentrations, the voltage response increases although it is a small voltage range (from 0,821 to 0,874<span class="elsevierStyleHsp" style=""></span>V). It is noteworthy to notice that at those concentrations the corresponding refractive indexes ranges between 1,421 and 1,439.</p><p id="par0075" class="elsevierStylePara elsevierViewall">Figure 5 shows that the LiBr estimation for concentrations lower than 50.87% can be obtained from Equation 2, which has a quadratic adjustment factor of 0.999 and where the variable “V” stands for the voltage response of each concentration.<elsevierMultimedia ident="eq0010"></elsevierMultimedia></p><p id="par0080" class="elsevierStylePara elsevierViewall">The second trend occurs for concentrations between 52,49% and 57,05% and refractive indices ranging between 1,4601 and 1,444. It can be observed that the voltage signal decreases significantly from 0.86 to 0.312<span class="elsevierStyleHsp" style=""></span>V.</p><p id="par0085" class="elsevierStylePara elsevierViewall">Figure 6 shows the quadratic approximation for these concentrations. For these data, the LiBr concentration can be approximated by the second order expression (Equation 3), in which the variable <span class="elsevierStyleItalic">“V”</span> stands for the voltage response obtained for each concentration. The quadratic adjustment factor for Equation 3 is approximately of 0.925.<a name="p44"></a><elsevierMultimedia ident="eq0015"></elsevierMultimedia></p><p id="par0090" class="elsevierStylePara elsevierViewall">Finally, the increasing trend of the voltage response for the highest concentrations (58.53%, 59.43% and 60.69%) is due to the solution's cristalinity. There, our conveniently simple fiber concepts of high concentration mixtures, and therein high mixture refractive index with respect to the MMF fiber section, are not straightforwardly valid anymore. However, the monotonic behavior shows an attractive region that we intend to further optically explore and report elsewhere.</p></span><span id="sec0035" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">4</span><span class="elsevierStyleSectionTitle" id="sect0045">Conclusions</span><p id="par0095" class="elsevierStylePara elsevierViewall">Based on an optical property, meaning refractive index (n) of the mixture of LiBr-H2O, we have proposed an alternative method to estimate the LiBr concentration used in the operation of a heat transformer. The sensing device is proposed as a prototype of easy construction, low cost and quite convenient usage. Its implementation may represent a new reliable and convenient technique for determining the concentration of LiBr “in situ” in the equipment, improving existing alternatives. The limit observed for this Optical method seems to be able to be further extended once the structural conditions are taken into account, and that is quite an attractive perspective.</p><p id="par0100" class="elsevierStylePara elsevierViewall">Using MMI effect based on an optical property of the analyte the concentration of one of the compounds can be estimated quantitatively establishing a mathematical equation which relates the value of the refractive index with the concentration of the compound of interest.</p></span></span>" "textoCompletoSecciones" => array:1 [ "secciones" => array:8 [ 0 => array:3 [ "identificador" => "xres498806" "titulo" => "Abstract" "secciones" => array:1 [ 0 => array:1 [ "identificador" => "abst0005" ] ] ] 1 => array:2 [ "identificador" => "xpalclavsec520324" "titulo" => "Keywords" ] 2 => array:2 [ "identificador" => "sec0005" "titulo" => "Introduction" ] 3 => array:3 [ "identificador" => "sec0010" "titulo" => "Experimental Details" "secciones" => array:3 [ 0 => array:2 [ "identificador" => "sec0015" "titulo" => "Principle of Operation" ] 1 => array:2 [ "identificador" => "sec0020" "titulo" => "Analyte Preparation" ] 2 => array:2 [ "identificador" => "sec0025" "titulo" => "SMS Fiber" ] ] ] 4 => array:2 [ "identificador" => "sec0030" "titulo" => "Results and Discussion" ] 5 => array:2 [ "identificador" => "sec0035" "titulo" => "Conclusions" ] 6 => array:2 [ "identificador" => "xack161142" "titulo" => "Acknowledgments" ] 7 => array:1 [ "titulo" => "References" ] ] ] "pdfFichero" => "main.pdf" "tienePdf" => true "PalabrasClave" => array:1 [ "en" => array:1 [ 0 => array:4 [ "clase" => "keyword" "titulo" => "Keywords" "identificador" => "xpalclavsec520324" "palabras" => array:3 [ 0 => "multimode interference" 1 => "fiber optic" 2 => "refractive index" ] ] ] ] "tieneResumen" => true "resumen" => array:1 [ "en" => array:2 [ "titulo" => "Abstract" "resumen" => "<span id="abst0005" class="elsevierStyleSection elsevierViewall"><p id="spar0005" class="elsevierStyleSimplePara elsevierViewall">We use multimode interference (MMI) as an alternative optical technique to estimate lithium bromide (LiBr) concentration, of the work pair LiBr-H<span class="elsevierStyleInf">2</span>O, in absorption heat pumps (AHP). The sensing element is a singlemode-multimode-singlemode (SMS) fiber optic structure. This is fabricated by splicing a precisely dimensioned multimode fiber (MMF) section between two singlemode fibers (SMFs). The operation principle is based on the multimode interference (MMI) effect occurring in the MMF section. For that purpose, different concentrations of the mixture were prepared (from 44.30% to 60.69%) to study their optical response. The input field profile entering the sensing element, which is the naked (no cladding) MMF section of the SMS fiber structure, produced different transmitted intensity responses for each of these concentrations. Thus the optical characterization of the mixture was used to establish a mathematical relation to estimate the LiBr concentration. A linear fit for solutions with concentrations ranging from 43.30% to 50.87% and refractive indices between 1.421 and 1.439 is demonstrated.</p></span>" ] ] "multimedia" => array:4 [ 0 => array:7 [ "identificador" => "tbl0005" "etiqueta" => "Table 1" "tipo" => "MULTIMEDIATABLA" "mostrarFloat" => true "mostrarDisplay" => false "tabla" => array:1 [ "tablatextoimagen" => array:1 [ 0 => array:2 [ "tabla" => array:1 [ 0 => """ <table border="0" frame="\n \t\t\t\t\tvoid\n \t\t\t\t" class=""><thead title="thead"><tr title="table-row"><th class="td" title="table-head " align="center" valign="middle" scope="col" style="border-bottom: 2px solid black">Sample \t\t\t\t\t\t\n \t\t\t\t</th><th class="td" title="table-head " align="center" valign="middle" scope="col" style="border-bottom: 2px solid black">Refractive index (n) \t\t\t\t\t\t\n \t\t\t\t</th><th class="td" title="table-head " align="center" valign="middle" scope="col" style="border-bottom: 2px solid black">LiBr concentration (% wt) \t\t\t\t\t\t\n \t\t\t\t</th></tr></thead><tbody title="tbody"><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.421 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">44.0 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">2 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.425 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">45.86 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">3 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.426 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">46.24 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">4 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.439 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">50.87 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">5 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.444 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">52.49 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">6 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.447 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">53.41 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">7 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.4518 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">54.83 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">8 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.453 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">55.17 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">9 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.457 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">56.27 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">10 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.4601 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">57.05 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">11 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.466 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">58.53 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">12 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">1.47 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle" style="border-bottom: 2px solid black">59.43 \t\t\t\t\t\t\n \t\t\t\t</td></tr><tr title="table-row"><td class="td" title="table-entry " align="center" valign="middle">13 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle">1.476 \t\t\t\t\t\t\n \t\t\t\t</td><td class="td" title="table-entry " align="center" valign="middle">60.69 \t\t\t\t\t\t\n \t\t\t\t</td></tr></tbody></table> """ ] "imagenFichero" => array:1 [ 0 => "xTab796324.png" ] ] ] ] "descripcion" => array:1 [ "en" => "<p id="spar0010" class="elsevierStyleSimplePara elsevierViewall">LiBr-H2O solutions prepared at different ratios of LiBr</p>" ] ] 1 => array:6 [ "identificador" => "eq0005" "etiqueta" => "(1)" "tipo" => "MULTIMEDIAFORMULA" "mostrarFloat" => false "mostrarDisplay" => true "Formula" => array:5 [ "Matematica" => "Lself−image=p16ncorea2λ,p=0,1,2,…" "Fichero" => "si1.jpeg" "Tamanyo" => 2276 "Alto" => 24 "Ancho" => 261 ] ] 2 => array:6 [ "identificador" => "eq0010" "etiqueta" => "(2)" "tipo" => "MULTIMEDIAFORMULA" "mostrarFloat" => false "mostrarDisplay" => true "Formula" => array:5 [ "Matematica" => "%LiBr=123.33(V)−56.91" "Fichero" => "si2.jpeg" "Tamanyo" => 1684 "Alto" => 16 "Ancho" => 186 ] ] 3 => array:6 [ "identificador" => "eq0015" "etiqueta" => "(3)" "tipo" => "MULTIMEDIAFORMULA" "mostrarFloat" => false "mostrarDisplay" => true "Formula" => array:5 [ "Matematica" => "%LiBr=−17.759(V2)+13.472(V)+54.485" "Fichero" => "si3.jpeg" "Tamanyo" => 2553 "Alto" => 18 "Ancho" => 302 ] ] ] "bibliografia" => array:2 [ "titulo" => "References" "seccion" => array:1 [ 0 => array:2 [ "identificador" => "bibs0005" "bibliografiaReferencia" => array:10 [ 0 => array:3 [ "identificador" => "bib0005" "etiqueta" => "[1]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "Solar Energy Upgrading by thermodynamic cycles with steam absorption in aqueous solution" "autores" => array:1 [ 0 => array:2 [ "etal" => true "autores" => array:1 [ 0 => "R.J. Romero" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "LibroEditado" => array:4 [ "titulo" => "Solar Energy: Research Technology and Applications" "paginaInicial" => "277" "paginaFinal" => "316" "serieFecha" => "2008" ] ] ] ] ] ] 1 => array:3 [ "identificador" => "bib0010" "etiqueta" => "[2]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "Introducción a los métodos espectroquímicos en “Fundamentos de Química Analítica”" "autores" => array:1 [ 0 => array:2 [ "etal" => true "autores" => array:1 [ 0 => "D.A. Skoog" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Libro" => array:4 [ "titulo" => "Thompson" "fecha" => "2006" "paginaInicial" => "717" "paginaFinal" => "752" ] ] ] ] ] ] 2 => array:3 [ "identificador" => "bib0015" "etiqueta" => "[3]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:1 [ "autores" => array:1 [ 0 => array:2 [ "etal" => true "autores" => array:1 [ 0 => "D.A. Skoog" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Libro" => array:4 [ "titulo" => "Introducción a la espectrometría de absorción molecular UV-VIS en “Principios de Análisis Instrumental”" "fecha" => "2008" "paginaInicial" => "332" "paginaFinal" => "351" ] ] ] ] ] ] 3 => array:3 [ "identificador" => "bib0020" "etiqueta" => "[4]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "All-fibre multimode-interference-based refractometer sensor: proposal and design" "autores" => array:1 [ 0 => array:2 [ "etal" => false "autores" => array:2 [ 0 => "Q. Wang" 1 => "G. Farrell" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Revista" => array:6 [ "tituloSerie" => "Opt. Lett" "fecha" => "2006" "volumen" => "31" "paginaInicial" => "317" "paginaFinal" => "319" "link" => array:1 [ 0 => array:2 [ "url" => "https://www.ncbi.nlm.nih.gov/pubmed/16480194" "web" => "Medline" ] ] ] ] ] ] ] ] 4 => array:3 [ "identificador" => "bib0025" "etiqueta" => "[5]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "Wavelength-encoded fibre-optic temperature sensor with ultra-high sensitivity" "autores" => array:1 [ 0 => array:2 [ "etal" => false "autores" => array:2 [ 0 => "E. Li" 1 => "G.D. Peng" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Revista" => array:5 [ "tituloSerie" => "Opt. Commun." "fecha" => "2008" "volumen" => "281" "paginaInicial" => "5768" "paginaFinal" => "5770" ] ] ] ] ] ] 5 => array:3 [ "identificador" => "bib0030" "etiqueta" => "[6]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "All-fibre multimode interference bandpass filter" "autores" => array:1 [ 0 => array:2 [ "etal" => false "autores" => array:3 [ 0 => "W.S. Mohammed" 1 => "P.W.E. Smith" 2 => "X. Gu" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Revista" => array:6 [ "tituloSerie" => "Opt. Lett." "fecha" => "2006" "volumen" => "31" "paginaInicial" => "2547" "paginaFinal" => "2549" "link" => array:1 [ 0 => array:2 [ "url" => "https://www.ncbi.nlm.nih.gov/pubmed/16902614" "web" => "Medline" ] ] ] ] ] ] ] ] 6 => array:3 [ "identificador" => "bib0035" "etiqueta" => "[7]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "Strain and temperature sensing characteristics of single-mode-multimode-single-mode structures" "autores" => array:1 [ 0 => array:2 [ "etal" => true "autores" => array:1 [ 0 => "S.M. Tripathi" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Revista" => array:5 [ "tituloSerie" => "J. Lightw. Technol." "fecha" => "2009" "volumen" => "27" "paginaInicial" => "2348" "paginaFinal" => "2356" ] ] ] ] ] ] 7 => array:3 [ "identificador" => "bib0040" "etiqueta" => "[8]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "On-line wear detection of milling tools using a displacement fiber optic sensor" "autores" => array:1 [ 0 => array:2 [ "etal" => false "autores" => array:1 [ 0 => "E. Castillo-Castañeda" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Revista" => array:6 [ "tituloSerie" => "Journal of Applied Research and Technology" "fecha" => "2012" "volumen" => "1" "numero" => "2" "paginaInicial" => "164" "paginaFinal" => "174" ] ] ] ] ] ] 8 => array:3 [ "identificador" => "bib0045" "etiqueta" => "[9]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "Experimental Results of the Superluminescent Fiber Laser Sources for Fiber Optic Sensors" "autores" => array:1 [ 0 => array:2 [ "etal" => false "autores" => array:2 [ 0 => "E.F. Pinzón-Escobar" 1 => "G.E. Sandoval-Romero" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Revista" => array:5 [ "tituloSerie" => "Journal of Applied Research and Technology" "fecha" => "2012" "volumen" => "1" "paginaInicial" => "20" "paginaFinal" => "27" ] ] ] ] ] ] 9 => array:3 [ "identificador" => "bib0050" "etiqueta" => "[10]" "referencia" => array:1 [ 0 => array:2 [ "contribucion" => array:1 [ 0 => array:2 [ "titulo" => "Optical multi-mode interference devices based on self-imaging: principles and applications" "autores" => array:1 [ 0 => array:2 [ "etal" => false "autores" => array:2 [ 0 => "L.B. Soldano" 1 => "E.C.M. Pennings" ] ] ] ] ] "host" => array:1 [ 0 => array:1 [ "Revista" => array:5 [ "tituloSerie" => "J. Ligthw. Technol." "fecha" => "1995" "volumen" => "13" "paginaInicial" => "615" "paginaFinal" => "627" ] ] ] ] ] ] ] ] ] ] "agradecimientos" => array:1 [ 0 => array:4 [ "identificador" => "xack161142" "titulo" => "Acknowledgments" "texto" => "<p id="par0105" class="elsevierStylePara elsevierViewall">This work was supported by the “Consejo Nacional de Ciencia y Tecnología” of Mexico (Projects CONACyT CB:169197 and CB:101378).</p>" "vista" => "all" ] ] ] "idiomaDefecto" => "en" "url" => "/16656423/0000001200000001/v2_201505081640/S1665642314716037/v2_201505081640/en/main.assets" "Apartado" => null "PDF" => "https://static.elsevier.es/multimedia/16656423/0000001200000001/v2_201505081640/S1665642314716037/v2_201505081640/en/main.pdf?idApp=UINPBA00004N&text.app=https://www.elsevier.es/" "EPUB" => "https://multimedia.elsevier.es/PublicationsMultimediaV1/item/epub/S1665642314716037?idApp=UINPBA00004N" ]
| Year/Month | Html | Total | |
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| 2015 September | 5 | 3 | 8 |
| 2015 August | 2 | 1 | 3 |
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