TY  - BOOK
AU  - Gonz�alez-Acun�aa,Rafael G.
AU  - Chaparro-Romo,H�ector A.
AU  - Guti�errez-Vega,Julio C.
ED  - Institute of Physics (Great Britain),
TI  - Analytical lens design
T2  - [IOP release $release]
SN  - 9780750357746
AV  - QC385.2.D47 G663 2023eb
PY  - 2023///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - Lenses
KW  - Design and construction
KW  - Optical physics
KW  - bicssc
KW  - SCIENCE / Physics / Optics & Light
KW  - bisacsh
N1  - "Version: 20230501"--Title page verso; Includes bibliographical references; part 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 conjecture; 2. 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. Conclusions; 3. 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. Conclusions; part 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. Conclusions; 5. 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. Conclusions; 6. 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. Conclusions; 7. The gaxicon -- 7.1. Introduction -- 7.2. Geometrical model -- 7.3. Gallery of axicons -- 7.4. Conclusions; 8. 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 conclusions; part 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. Conclusions; 10. On-axis astigmatic freeform lens -- 10.1. Introduction -- 10.2. Mathematical model -- 10.3. Gallery of examples -- 10.4. Conclusions; part IV. Stigmatic optical systems. 11. On-axis sequential optical systems -- 11.1. Introduction -- 11.2. Mathematical model -- 11.3. Illustrative examples -- 11.4. Conclusions; 12. On-axis sequential refractive-reflective telescope -- 12.1. Introduction -- 12.2. Examples -- 12.3. Conclusions; part 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. Conclusions; 14. 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. Conclusions; 15. 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. Conclusions; 16. 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. Conclusion; 17. Abbe aplanatic optical systems -- 17.1. Introduction -- 17.2. Mathematical model -- 17.3. An illustrative example -- 17.4. Conclusions; part 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. Conclusion; 19. Design of a pair of aplanatic mirrors -- 19.1. Introduction -- 19.2. Mathematical model -- 19.3. Illustrative example -- 19.4. Conclusions; 20. The stigmatic three-freeform-mirror system -- 20.1. Introduction -- 20.2. Mathematical model -- 20.3. Illustrative example -- 20.4. Conclusion; 21. The power set of mirror-based stigmatic optical systems -- 21.1. Introduction -- 21.2. Mathematical model -- 21.3. Illustrative example -- 21.4. Conclusions; Optical engineers working in lens design and optical products; Also available in print
N2  - This 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
UR  - https://iopscience.iop.org/book/mono/978-0-7503-5774-6
ER  -