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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Acuña-Romo-Gleichung</span></h1>
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<p>In der geometrischen Optik und der optischen Technik beschreibt die <b>Acuña-Romo-Gleichung</b> die Lösung des Problems des Entwurfs einer Linse ohne <a href="Sph%C3%A4rische_Aberration" class="mw-redirect" title="Sphärische Aberration">sphärische Aberration</a>.
</p>
<div class="mw-heading mw-heading2"><h2 id="Prinzip">Prinzip</h2></div>
<p>Die Gleichung gibt an, wie die zweite Oberfläche einer <a href="Linse_(Optik)" title="Linse (Optik)">Linse</a> geformt sein muss (<a href="Asph%C3%A4rische_Linse" title="Asphärische Linse">asphärisch</a>), damit die durch die erste, vorgegebene, Linsenfläche erzeugte sphärische Aberration für ein Punktobjekt auf der optischen Achse vollständig korrigiert wird.<sup id="cite_ref-osa_1-0" class="reference"><a href="#cite_note-osa-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Ursprung_des_sphärischen_aberrationsfreien_Linsendesigns"><span id="Ursprung_des_sph.C3.A4rischen_aberrationsfreien_Linsendesigns"></span>Ursprung des sphärischen aberrationsfreien Linsendesigns</h2></div>
<p>Einige der wichtigsten Ereignisse für die Konzeption der Linse ohne sphärische Aberration sind:
</p>
<ul><li>Diocles, in seinem Buch „Mirrors ustorios“, nachdem festgestellt wurde, dass der Parabolspiegel die Strahlen, die sich in Richtung einer Achse bewegen, in einem einzigen Punkt fokussieren könnte, ist es möglich, eine Linse mit der gleichen Eigenschaft zu erwähnen.<sup id="cite_ref-Diocles_2-0" class="reference"><a href="#cite_note-Diocles-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></li></ul>
<ul><li>Ibn Sahl beschäftigt sich mit den optischen Eigenschaften von Spiegeln und gebogenen Linsen. Er wurde als Entdecker des Brechungsgesetzes (Snells Gesetz) beschrieben.<sup id="cite_ref-Sahl_3-0" class="reference"><a href="#cite_note-Sahl-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></li>
<li>Rene Descartes untersucht kartesische Ovale und ihre Anwendungen in der Optik.</li>
<li>Christiaan Huygens schlägt vor, die sphärische Aberration mit einem Satz sphärischer Linsen zu beseitigen. Auch im Vorwort der Arbeit erwähnt „Traité de la lumière“, dass Isaac Newton und Gottfried Wilhelm Leibniz das Problem angesprochen haben.<sup id="cite_ref-Huygens_4-0" class="reference"><a href="#cite_note-Huygens-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Huygens2_5-0" class="reference"><a href="#cite_note-Huygens2-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup></li>
<li>Levi-Civita skizziert die numerische Lösung für das Design von korrigierenden refraktiven Oberflächen.<sup id="cite_ref-Levi_6-0" class="reference"><a href="#cite_note-Levi-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup></li>
<li>G. D. Wasserman und E. Wolf schlagen eine aplanatische Linse vor, die auf einem Integral basiert, das sie mit numerischen Methoden lösen.<sup id="cite_ref-Wolf_7-0" class="reference"><a href="#cite_note-Wolf-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup></li>
<li>Daniel Malacara Hernández präsentiert ein ungefähres Design einer Linse ohne sphärische Aberration mit zwei asphärischen Oberflächen.<sup id="cite_ref-Malacara_8-0" class="reference"><a href="#cite_note-Malacara-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></li>
<li>Psang Dain Lin und Chung-Yu Tsai erhalten das Objektivdesign ohne sphärische Aberration aus der numerischen Lösung eines Systems nichtlinearer Gleichungen.<sup id="cite_ref-Lin_9-0" class="reference"><a href="#cite_note-Lin-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></li>
<li>Juan Camilo Valencia Estrada zeigt eine analytische Lösung des Problems für bestimmte Einzelfälle.<sup id="cite_ref-Camilo_10-0" class="reference"><a href="#cite_note-Camilo-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup></li>
<li>Rafael G. González-Acuña und Héctor A. Chaparro-Romo präsentieren die allgemeine Gleichung der geschlossenen Form für den Entwurf einer Linse ohne sphärische Aberration.<sup id="cite_ref-Acuña-Romo-2018_11-0" class="reference"><a href="#cite_note-Acuña-Romo-2018-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-gaxicon_12-0" class="reference"><a href="#cite_note-gaxicon-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-norte_13-0" class="reference"><a href="#cite_note-norte-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-norte2_14-0" class="reference"><a href="#cite_note-norte2-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-yachay_15-0" class="reference"><a href="#cite_note-yachay-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-tec_16-0" class="reference"><a href="#cite_note-tec-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-max_17-0" class="reference"><a href="#cite_note-max-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Siehe_auch">Siehe auch</h2></div>
<ul><li><a href="Fresnel-Linse" title="Fresnel-Linse">Fresnel-Linse</a></li>
<li><a href="Blazegitter" title="Blazegitter">Blazegitter</a></li>
<li><a href="L%C3%BCneburg-Linse" title="Lüneburg-Linse">Lüneburg-Linse</a></li>
<li><a href="Hartmann-Shack-Sensor" title="Hartmann-Shack-Sensor">Hartmann-Shack-Sensor</a></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Einzelnachweise">Einzelnachweise</h2></div>
<ol class="references">
<li id="cite_note-osa-1"><span class="mw-cite-backlink"><a href="#cite_ref-osa_1-0">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://www.osapublishing.org/ao/issue.cfm?volume=57&issue=31#sort_toc"><i>Applied Optics Volume 57, Issue 31.</i></a> In: <i>www.osapublishing.org.</i> OSA Publishing, November 2018,<span class="Abrufdatum"> abgerufen am 29. April 2019</span> (englisch).</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AAcu%C3%B1a-Romo-Gleichung&rft.title=Applied+Optics+Volume+57%2C+Issue+31&rft.description=Applied+Optics+Volume+57%2C+Issue+31&rft.identifier=&rft.publisher=OSA+Publishing&rft.date=2018-11&rft.language=en"> </span></span>
</li>
<li id="cite_note-Diocles-2"><span class="mw-cite-backlink"><a href="#cite_ref-Diocles_2-0">↑</a></span> <span class="reference-text"><span class="book">Toomer G. J.: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Diocles On Burning Mirrors, Sources in the History of Mathematics and the Physical Sciences 1</cite>. Springer, New York 1976 (englisch).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.au=Toomer%26%2332%3BG.+J.&rft.btitle=Diocles+On+Burning+Mirrors%2C+Sources+in+the+History+of+Mathematics+and+the+Physical+Sciences+1&rft.date=1976&rft.genre=book&rft.place=New+York&rft.pub=Springer" style="display:none"> </span></span></span>
</li>
<li id="cite_note-Sahl-3"><span class="mw-cite-backlink"><a href="#cite_ref-Sahl_3-0">↑</a></span> <span class="reference-text"><span class="book">R. Rashed: <cite class="lang" lang="fr" dir="auto" style="font-style:italic">Géométrie et dioptrique au Xe siècle: Ibn Sahl, al-Quhi et Ibn al-Haytham.</cite> Les Belles Lettres, Paris 1993 (französisch).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.au=R.%26%2332%3BRashed&rft.btitle=G%C3%A9om%C3%A9trie+et+dioptrique+au+Xe+si%C3%A8cle%3A+Ibn+Sahl%2C+al-Quhi+et+Ibn+al-Haytham.&rft.date=1993&rft.genre=book&rft.place=Paris&rft.pub=Les+Belles+Lettres" style="display:none"> </span></span></span>
</li>
<li id="cite_note-Huygens-4"><span class="mw-cite-backlink"><a href="#cite_ref-Huygens_4-0">↑</a></span> <span class="reference-text"><span class="book">Christiaan Huygens: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Traité de la lumière</cite>. Leiden 1690 (englisch).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.au=Christiaan%26%2332%3BHuygens&rft.btitle=Trait%C3%A9+de+la+lumi%C3%A8re&rft.date=1690&rft.genre=book&rft.place=Leiden" style="display:none"> </span></span></span>
</li>
<li id="cite_note-Huygens2-5"><span class="mw-cite-backlink"><a href="#cite_ref-Huygens2_5-0">↑</a></span> <span class="reference-text"><span class="book">Fokko Jan Dijksterhuis: <cite class="lang" lang="fr" dir="auto" style="font-style:italic">Lenses and waves: Christiaan Huygens and the mathematical science of optics in the seventeenth century</cite>. Springer, Enschede 2004, ISBN 978-1-4020-2697-3 (französisch).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.au=Fokko+Jan%26%2332%3BDijksterhuis&rft.btitle=Lenses+and+waves%3A+Christiaan+Huygens+and+the+mathematical+science+of+optics+in+the+seventeenth+century&rft.date=2004&rft.genre=book&rft.isbn=9781402026973&rft.place=Enschede&rft.pub=Springer" style="display:none"> </span></span></span>
</li>
<li id="cite_note-Levi-6"><span class="mw-cite-backlink"><a href="#cite_ref-Levi_6-0">↑</a></span> <span class="reference-text">T. Levi-Civita: <cite class="lang" lang="it" dir="auto" style="font-style:italic">Complementi al teorema di Malus-Dupin. Nota I</cite>. In: <cite class="lang" lang="it" dir="auto" style="font-style:italic">Atti Accad. Sci. Torino</cite>. 9. Jahrgang, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em"> </span>5</span>, <span style="white-space:nowrap">S.<span style="display:inline-block;width:.2em"> </span>185–189</span> (italienisch, <span style="display:none"><a rel="nofollow" class="external text" href="http://deadurl.invalid/http://villafarnesina.it/pubblicazioni/rendicontiFMN/rol/pdf/S5V9T1A1900P185_189.pdf">@1</a></span><span style="display:none"><a rel="nofollow" class="external text" href="http://villafarnesina.it/pubblicazioni/rendicontiFMN/rol/pdf/S5V9T1A1900P185_189.pdf">@2</a></span><span style="display:none">Vorlage:Toter Link/villafarnesina.it</span><a rel="nofollow" class="external text" href="http://villafarnesina.it/pubblicazioni/rendicontiFMN/rol/pdf/S5V9T1A1900P185_189.pdf">villafarnesina.it</a> <small>(Seite nicht mehr abrufbar. <a rel="nofollow" class="external text" href="http://timetravel.mementoweb.org/list/2010/http://villafarnesina.it/pubblicazioni/rendicontiFMN/rol/pdf/S5V9T1A1900P185_189.pdf">Suche in Webarchiven</a>)</small>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=Complementi+al+teorema+di+Malus-Dupin.+Nota+I&rft.au=T.%26%2332%3BLevi-Civita&rft.genre=journal&rft.issue=5&rft.jtitle=Atti+Accad.+Sci.+Torino&rft.pages=185-189&rft.volume=9.+Jahrgang" style="display:none"> </span></span>
</li>
<li id="cite_note-Wolf-7"><span class="mw-cite-backlink"><a href="#cite_ref-Wolf_7-0">↑</a></span> <span class="reference-text">G. D. Wasserman, E. Wolf: <cite class="lang" lang="en" dir="auto" style="font-style:italic">On the Theory of Aplanatic Aspheric Systems</cite>. In: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Proceedings of the Physical Society</cite>. 62. Jahrgang, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em"> </span>1</span> (englisch, <a rel="nofollow" class="external text" href="https://iopscience.iop.org/article/10.1088/0370-1301/62/1/302/meta">iop.org</a>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=On+the+Theory+of+Aplanatic+Aspheric+Systems&rft.au=G.+D.%26%2332%3BWasserman%2C%26%2332%3BE.%26%2332%3BWolf&rft.genre=journal&rft.issue=1&rft.jtitle=Proceedings+of+the+Physical+Society&rft.volume=62.+Jahrgang" style="display:none"> </span></span>
</li>
<li id="cite_note-Malacara-8"><span class="mw-cite-backlink"><a href="#cite_ref-Malacara_8-0">↑</a></span> <span class="reference-text">Daniel Malacara: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Two Lenses to Collimate Red Laser Light</cite>. In: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Applied Optics</cite>. 4. Jahrgang, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em"> </span>12</span>, <span style="white-space:nowrap">S.<span style="display:inline-block;width:.2em"> </span>1652–1654</span>, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1364/AO.4.001652">10.1364/AO.4.001652</a></span> (englisch, <a rel="nofollow" class="external text" href="https://www.osapublishing.org/ao/abstract.cfm?uri=ao-4-12-1652">osapublishing.org</a>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=Two+Lenses+to+Collimate+Red+Laser+Light&rft.au=Daniel%26%2332%3BMalacara&rft.doi=10.1364%2FAO.4.001652&rft.genre=journal&rft.issue=12&rft.jtitle=Applied+Optics&rft.pages=1652-1654&rft.volume=4.+Jahrgang" style="display:none"> </span></span>
</li>
<li id="cite_note-Lin-9"><span class="mw-cite-backlink"><a href="#cite_ref-Lin_9-0">↑</a></span> <span class="reference-text">Psang Dain Lin, Chung-Yu Tsai: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays</cite>. In: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Applied Optics</cite>. 29. Jahrgang, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em"> </span>2</span>, <span style="white-space:nowrap">S.<span style="display:inline-block;width:.2em"> </span>174–178</span>, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1364/JOSAA.29.000174">10.1364/JOSAA.29.000174</a></span> (englisch, <a rel="nofollow" class="external text" href="https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-29-2-174">osapublishing.org</a>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=Determination+of+unit+normal+vectors+of+aspherical+surfaces+given+unit+directional+vectors+of+incoming+and+outgoing+rays&rft.au=Psang+Dain%26%2332%3BLin%2C%26%2332%3BChung-Yu%26%2332%3BTsai&rft.doi=10.1364%2FJOSAA.29.000174&rft.genre=journal&rft.issue=2&rft.jtitle=Applied+Optics&rft.pages=174-178&rft.volume=29.+Jahrgang" style="display:none"> </span></span>
</li>
<li id="cite_note-Camilo-10"><span class="mw-cite-backlink"><a href="#cite_ref-Camilo_10-0">↑</a></span> <span class="reference-text">Juan Camilo Valencia-Estrada, Ricardo Benjamín. Flores-Hernández, Daniel, Malacara-Hernández: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Singlet lenses free of all orders of spherical aberration</cite>. In: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Royal Society proceedings A</cite>. 471. Jahrgang, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1098/rspa.2014.0608">10.1098/rspa.2014.0608</a></span> (englisch, <a rel="nofollow" class="external text" href="https://royalsocietypublishing.org/doi/full/10.1098/rspa.2014.0608">royalsocietypublishing.org</a>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=Singlet+lenses+free+of+all+orders+of+spherical+aberration&rft.au=Juan+Camilo%26%2332%3BValencia-Estrada%2C%26%2332%3BRicardo+Benjam%C3%ADn.%26%2332%3BFlores-Hern%C3%A1ndez%2C%26%2332%3BDaniel%2C+...&rft.btitle=Royal+Society+proceedings+A&rft.doi=10.1098%2Frspa.2014.0608&rft.genre=book&rft.volume=471.+Jahrgang" style="display:none"> </span></span>
</li>
<li id="cite_note-Acuña-Romo-2018-11"><span class="mw-cite-backlink"><a href="#cite_ref-Acuña-Romo-2018_11-0">↑</a></span> <span class="reference-text">Rafael G. González-Acuña, Héctor A. Chaparro-Romo: <cite class="lang" lang="en" dir="auto" style="font-style:italic">General formula for bi-aspheric singlet lens design free of spherical aberration</cite>. In: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Applied Optics</cite>. 57. Jahrgang, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em"> </span>31</span>, <span style="white-space:nowrap">S.<span style="display:inline-block;width:.2em"> </span>9341–9345</span>, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1364/AO.57.009341">10.1364/AO.57.009341</a></span> (englisch, <a rel="nofollow" class="external text" href="https://www.osapublishing.org/ao/abstract.cfm?uri=ao-57-31-9341">osapublishing.org</a>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=General+formula+for+bi-aspheric+singlet+lens+design+free+of+spherical+aberration&rft.au=Rafael+G.%26%2332%3BGonz%C3%A1lez-Acu%C3%B1a%2C%26%2332%3BH%C3%A9ctor+A.%26%2332%3BChaparro-Romo&rft.doi=10.1364%2FAO.57.009341&rft.genre=journal&rft.issue=31&rft.jtitle=Applied+Optics&rft.pages=9341-9345&rft.volume=57.+Jahrgang" style="display:none"> </span></span>
</li>
<li id="cite_note-gaxicon-12"><span class="mw-cite-backlink"><a href="#cite_ref-gaxicon_12-0">↑</a></span> <span class="reference-text">Rafael G. González-Acuña, Gutiérrez-Vega Julio C.: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Generalization of the axicon shape: the gaxicon</cite>. In: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Journal of the Optical Society of America A</cite>. 35. Jahrgang, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em"> </span>11</span>, <span style="white-space:nowrap">S.<span style="display:inline-block;width:.2em"> </span>1915–1918</span>, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1364/JOSAA.35.001915">10.1364/JOSAA.35.001915</a></span> (englisch, <a rel="nofollow" class="external text" href="https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-35-11-1915">osapublishing.org</a>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=Generalization+of+the+axicon+shape%3A+the+gaxicon&rft.au=Rafael+G.%26%2332%3BGonz%C3%A1lez-Acu%C3%B1a%2C%26%2332%3BGuti%C3%A9rrez-Vega%26%2332%3BJulio+C.&rft.doi=10.1364%2FJOSAA.35.001915&rft.genre=journal&rft.issue=11&rft.jtitle=Journal+of+the+Optical+Society+of+America+A&rft.pages=1915-1918&rft.volume=35.+Jahrgang" style="display:none"> </span></span>
</li>
<li id="cite_note-norte-13"><span class="mw-cite-backlink"><a href="#cite_ref-norte_13-0">↑</a></span> <span class="reference-text"><span class="cite">Danilo Moreno: <a rel="nofollow" class="external text" href="https://www.elnorte.ec/ibarra/nuevos-lentes-se-disenan-en-laboratorios-de-yachay-tech-XK279653"><i>Nuevos lentes se diseñan en laboratorios de Yachay Tech.</i></a> In: <i>www.elnorte.ec.</i> Diario El Norte, 1. Januar 2019,<span class="Abrufdatum"> abgerufen am 29. April 2019</span> (spanisch).</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AAcu%C3%B1a-Romo-Gleichung&rft.title=Nuevos+lentes+se+dise%C3%B1an+en+laboratorios+de+Yachay+Tech&rft.description=Nuevos+lentes+se+dise%C3%B1an+en+laboratorios+de+Yachay+Tech&rft.identifier=&rft.creator=Danilo%26%2332%3BMoreno&rft.publisher=Diario+El+Norte&rft.date=2019-01-01&rft.language=es"> </span></span>
</li>
<li id="cite_note-norte2-14"><span class="mw-cite-backlink"><a href="#cite_ref-norte2_14-0">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://www.elnorte.ec/entv/julio-chacon-docente-yachay-tech-proyecto-de-investigacion-de-lentes-libres-de-aberraciones-esfericas-BY256829"><i>Julio Chacón, docente YACHAY TECH, Proyecto de Investigación de Lentes libres de aberraciones esféricas.</i></a> In: <i>www.elnorte.ec.</i> Diario El Norte, 6. Dezember 2018,<span class="Abrufdatum"> abgerufen am 29. April 2019</span> (spanisch).</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AAcu%C3%B1a-Romo-Gleichung&rft.title=Julio+Chac%C3%B3n%2C+docente+YACHAY+TECH%2C+Proyecto+de+Investigaci%C3%B3n+de+Lentes+libres+de+aberraciones+esf%C3%A9ricas.&rft.description=Julio+Chac%C3%B3n%2C+docente+YACHAY+TECH%2C+Proyecto+de+Investigaci%C3%B3n+de+Lentes+libres+de+aberraciones+esf%C3%A9ricas.&rft.identifier=&rft.publisher=Diario+El+Norte&rft.date=2018-12-06&rft.language=es"> </span></span>
</li>
<li id="cite_note-yachay-15"><span class="mw-cite-backlink"><a href="#cite_ref-yachay_15-0">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://www.yachaytech.edu.ec/noticia/diseno-nuevos-lentes/"><i>YACHAY TECH CONTRIBUYE AL DISEÑO DE NUEVOS LENTES.</i></a> In: <i><a rel="nofollow" class="external free" href="https://www.yachaytech.edu.ec">https://www.yachaytech.edu.ec</a>.</i> YachayTech, 3. Dezember 2018,<span class="Abrufdatum"> abgerufen am 29. April 2019</span> (spanisch).</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AAcu%C3%B1a-Romo-Gleichung&rft.title=YACHAY+TECH+CONTRIBUYE+AL+DISE%C3%91O+DE+NUEVOS+LENTES&rft.description=YACHAY+TECH+CONTRIBUYE+AL+DISE%C3%91O+DE+NUEVOS+LENTES&rft.identifier=&rft.publisher=YachayTech&rft.date=2018-12-03&rft.language=es"> </span></span>
</li>
<li id="cite_note-tec-16"><span class="mw-cite-backlink"><a href="#cite_ref-tec_16-0">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://transferencia.tec.mx/2019/02/21/resuelto-un-problema-optico-con-mas-de-un-siglo-sin-solucion/"><i>¡Eureka! Encuentran la fórmula para resolver un antiguo problema óptico.</i></a> In: <i><a rel="nofollow" class="external free" href="https://transferencia.tec.mx">https://transferencia.tec.mx</a>.</i> Revista Transferencia Tec, 21. Februar 2019,<span class="Abrufdatum"> abgerufen am 29. April 2019</span> (spanisch).</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AAcu%C3%B1a-Romo-Gleichung&rft.title=%C2%A1Eureka%21+Encuentran+la+f%C3%B3rmula+para+resolver+un+antiguo+problema+%C3%B3ptico&rft.description=%C2%A1Eureka%21+Encuentran+la+f%C3%B3rmula+para+resolver+un+antiguo+problema+%C3%B3ptico&rft.identifier=&rft.publisher=Revista+Transferencia+Tec&rft.date=2019-02-21&rft.language=es"> </span></span>
</li>
<li id="cite_note-max-17"><span class="mw-cite-backlink"><a href="#cite_ref-max_17-0">↑</a></span> <span class="reference-text">Rafael G. González-Acuña, Maximino Avendaño-Alejo, Gutiérrez-Vega Julio C.: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Singlet lens for generating aberration-free patterns on deformed surfaces</cite>. In: <cite class="lang" lang="en" dir="auto" style="font-style:italic">Journal of the Optical Society of America A</cite>. 36. Jahrgang, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em"> </span>5</span>, <span style="white-space:nowrap">S.<span style="display:inline-block;width:.2em"> </span>925–929</span>, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1364/JOSAA.36.000925">10.1364/JOSAA.36.000925</a></span> (englisch, <a rel="nofollow" class="external text" href="https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-36-5-925">osapublishing.org</a>).<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info:sid/de.wikipedia.org:Acu%C3%B1a-Romo-Gleichung&rft.atitle=Singlet+lens+for+generating+aberration-free+patterns+on+deformed+surfaces&rft.au=Rafael+G.%26%2332%3BGonz%C3%A1lez-Acu%C3%B1a%2C%26%2332%3BMaximino%26%2332%3BAvenda%C3%B1o-Alejo%2C%26%2332%3BGuti%C3%A9rrez-Vega%26%2332%3BJulio+C.&rft.doi=10.1364%2FJOSAA.36.000925&rft.genre=journal&rft.issue=5&rft.jtitle=Journal+of+the+Optical+Society+of+America+A&rft.pages=925-929&rft.volume=36.+Jahrgang" style="display:none"> </span></span>
</li>
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