10060nam a2200877 i 45000010014000000030004000140050017000180060019000350070015000540080041000690200025001100200024001350200025001590200027001840240051002110350025002620350022002870400040003090500029003490720016003780720023003941000054004172450119004712500020005902640098006103000071007083360021007793370026008003380032008264900027008584900064008854900034009495000043009835040041010265050354010675050216014215050331016375050317019685050337022855050178026225050113028005050234029135050259031475050141034065050181035475050120037285050245038485050262040935050256043555050187046115050143047985050236049415050147051775050151053245050166054755201049056415210067066905300029067575380036067865380078068225451663069005880057085636500044086206500029086646500056086937000049087497000049087987100061088477760049089088300031089578300072089888300034090608560059090949420012091539990017091659780750357746IOP20251030124219.0m    eo  d        cr cn |||m|||a230610s2023    enka   fob    000 0 eng d  a9780750357746qebook  a9780750357739qmobi  z9780750357722qprint  z9780750357753qmyPrint7 ahttps://doi.org/10.1088/978-0-7503-5774-62doi  a(CaBNVSL)thg00083617  a(OCoLC)1382424512  aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC385.2.D47bG663 2023eb 7aPHJ2bicssc 7aSCI0530002bisacsh1 aGonz�alez-Acun�aa, Rafael G.,eauthor.99677910aAnalytical lens design /cRafael G. Gonz�alez-Acu�ana, H�ector A. Chaparro-Romo, Julio C. Guti�errez-Vega.  aSecond edition. 1aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :bIOP Publishing,c[2023]  a1 online resource (various pagings) :billustrations (some color).  atext2rdacontent  aelectronic2isbdmedia  aonline resource2rdacarrier1 a[IOP release $release]1 aIOP series in emerging technologies in optics and photonics1 aIOP ebooks. [2023 collection]  a"Version: 20230501"--Title page verso.  aIncludes bibliographical references.0 apart I. A historical, mathematical and optical introduction for beginners. 1. A brief history of stigmatic lens desing -- 1.1. The rise of geometrical optics -- 1.2. Optics of the ancient Greeks and Arab world -- 1.3. Snell, Descartes, Huygens, Newton and Fermat -- 1.4. 19th and 20th century -- 1.5. The computer era and the closure of a conjecture8 a2. A mathematical toolkit for stigmatic imaging -- 2.1. A mathematical toolkit -- 2.2. Set theory -- 2.3. Topological spaces -- 2.4. Metric spaces -- 2.5. The conics -- 2.6. Geometric algebra -- 2.7. Conclusions8 a3. An introduction to geometrical optics -- 3.1. Geometrical optics -- 3.2. The principle of least action -- 3.3. Reflection -- 3.4. Refraction -- 3.5. Two-dimensional Snell's law in geometric algebra -- 3.6. Three-dimensional Snell's law in geometric algebra -- 3.7. Stigmatism -- 3.8. Optical aberrations -- 3.9. Conclusions8 apart II. Stigmatic singlets. 4. On-axis stigmatic aspheric lens -- 4.1. Introduction -- 4.2. Finite object finite image -- 4.3. Evolution tables of the shape of on-axis stigmatic lens -- 4.4. Stigmatic aspheric collector -- 4.5. Stigmatic aspheric collimator -- 4.6. The single-lens telescope -- 4.7. Conclusions8 a5. Geometry of on-axis stigmatic lenses -- 5.1. Introduction -- 5.2. Lens free of spherical aberration finite-finite case -- 5.3. Lens free of spherical aberration infinite-finite case -- 5.4. Lens free of spherical aberration finite-infinite case -- 5.5. Lens free of spherical aberration infinite-infinite case -- 5.6. Conclusions8 a6. Topology of on-axis stigmatic lenses -- 6.1. Introduction -- 6.2. The topology of on-axis stigmatic lens -- 6.3. Example of the topological properties -- 6.4. Conclusions8 a7. The gaxicon -- 7.1. Introduction -- 7.2. Geometrical model -- 7.3. Gallery of axicons -- 7.4. Conclusions8 a8. On-axis spherochromatic singlet -- 8.1. Introduction -- 8.2. Mathematical model -- 8.3. Illustrative examples -- 8.4. Spherochromatic collimator -- 8.5. Gallery of spherochromatic collimators -- 8.6. Discussion and conclusions8 apart III. Stigmatic and astigmatic freeform singlets. 9. On-axis stigmatic freeform lens -- 9.1. Introduction -- 9.2. Finite image-object -- 9.3. The freeform collector lens -- 9.4. The freeform collimator lens -- 9.5. The beam-shaper -- 9.6. Conclusions8 a10. On-axis astigmatic freeform lens -- 10.1. Introduction -- 10.2. Mathematical model -- 10.3. Gallery of examples -- 10.4. Conclusions8 apart IV. Stigmatic optical systems. 11. On-axis sequential optical systems -- 11.1. Introduction -- 11.2. Mathematical model -- 11.3. Illustrative examples -- 11.4. Conclusions8 a12. On-axis sequential refractive-reflective telescope -- 12.1. Introduction -- 12.2. Examples -- 12.3. Conclusions8 apart V. Aplanatic singlets and optical systems. 13. Off-axis stigmatic lens -- 13.1. Introduction -- 13.2. Mathematical model -- 13.3. Illustrative examples -- 13.4. Mathematical implications of a non-symmetric solution -- 13.5. Conclusions8 a14. Aplanatic singlet lens : general setting part 1 -- 14.1. Introduction -- 14.2. Off-axis stigmatic collector lens -- 14.3. On-axis stigmatic lens for an arbitrary reference path -- 14.4. The merging of two solutions -- 14.5. Examples -- 14.6. Conclusions8 a15. Aplanatic singlet lens : general setting part 2 -- 15.1. Introduction -- 15.2. Off-axis stigmatic lens -- 15.3. On-axis stigmatic lens for an arbitrary reference path -- 15.4. The merging of the two solutions -- 15.5. Examples -- 15.6. Conclusions8 a16. Abbe aplanatic singlet -- 16.1. Introduction -- 16.2. The finite object finite image aplanatic singlet -- 16.3. Infinite object finite image aplanatic singlet -- 16.4. Conclusion8 a17. Abbe aplanatic optical systems -- 17.1. Introduction -- 17.2. Mathematical model -- 17.3. An illustrative example -- 17.4. Conclusions8 apart VI. Stigmatic mirror systems. 18. The set of all possible pairs of stigmatic mirrors -- 18.1. Introduction -- 18.2. Mathematical model -- 18.3. Fermat principle -- 18.4. Gallery -- 18.5. Stigmatic collector -- 18.6. Conclusion8 a19. Design of a pair of aplanatic mirrors -- 19.1. Introduction -- 19.2. Mathematical model -- 19.3. Illustrative example -- 19.4. Conclusions8 a20. The stigmatic three-freeform-mirror system -- 20.1. Introduction -- 20.2. Mathematical model -- 20.3. Illustrative example -- 20.4. Conclusion8 a21. The power set of mirror-based stigmatic optical systems -- 21.1. Introduction -- 21.2. Mathematical model -- 21.3. Illustrative example -- 21.4. Conclusions.3 aThis book explores the lenses analogous to conic mirrors, the only kind of mirrors free of spherical aberration. With new ideas and results appearing in the field of optics, this second edition presents an in-depth look at lenses free of spherical aberrations and uses illustrative examples. Based on ideas from the first edition, this text contains six new chapters, which are not limited to stigmatic lenses but also discuss aplanatic lenses, stigmatic mirror systems and aplanatic mirrors. A newly added fourth part studies stigmatism and aplanatism in systems made purely with mirrors. The characteristics of these lenses and the equations that describe them are also studied. Finally, several implications of these lenses are analysed, such as freeform lenses, optical systems, axicons, telescopes and more. Scenarios with on-axis objects and off-axis objects are considered. Cases where the object is real or virtual and the image is real or virtual are also presented. Part of IOP Series in Emerging Technologies in Optics and Photonics.  aOptical engineers working in lens design and optical products.  aAlso available in print.  aMode of access: World Wide Web.  aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.  aRafael G. Gonz�alez-Acu�ana studied industrial physics engineering at the Tecnol�ogico de Monterrey and studied a master's degree in optomechatronics at Centro de investigaciones en �Optica, A.C. He has a PhD in optics from Tecnol�ogico de Monterrey. His doctoral thesis focuses on the design of free spherical aberration lenses. He is co-author of the solution to the problem of designing bi-aspheric singlet lenses free of spherical aberration. He has won several international awards and scholarships and co-authored 32 papers in lens design. He currently works on lens design for Huawei Technologies. H�ector A. Chaparro-Romo is an Electronic Engineer who has specialized in scientific computation and has years of experience in optics research and applications. He is co-author of the solution to the problem of designing bi-aspheric singlet lenses free of spherical aberration. He is an independent and multidisciplinary researcher, currently focussing on the study of computer networks and advanced design of economic optical systems in his self-employed home office. Julio C. Guti�errez-Vega is a full professor in the Physics Department and heads the Photonics and Mathematical Optics Group at the Tecnol�ogico de Monterrey, M�exico. He has authored and co-authored about 101 journal papers and 83 conference proceedings, reporting more than 3500 citations to date with an h-index of 30. He served on the editorial committee of the journals Optics and Photonics News and Optics Express and was a member of the scientific committee of the SPIE conference Laser Beam Shaping for 12 years. Guti�errez-Vega is a fellow member of OSA.0 aTitle from PDF title page (viewed on June 10, 2023). 0aLensesxDesign and construction.996437 7aOptical physics.2bicssc 7aSCIENCE / Physics / Optics & Light.2bisacsh9964101 aChaparro-Romo, H�ector A.,eauthor.9967801 aGuti�errez-Vega, Julio C.,eauthor.9967812 aInstitute of Physics (Great Britain),epublisher.91770208iPrint version:z9780750357722z9780750357753 0aIOP (Series).pRelease 23. 0aIOP series in emerging technologies in optics and photonics.996442 0aIOP ebooks.p2023 collection.40uhttps://iopscience.iop.org/book/mono/978-0-7503-5774-6  cE-Books  c68435d68435