Analytical lens design. ([2020])
- Record Type:
- Book
- Title:
- Analytical lens design. ([2020])
- Main Title:
- Analytical lens design
- Further Information:
- Note: Rafael G. González-Acunã, Héctor A. Chaparro-Romo, Julio C. Gutiérrez-Vega.
- Authors:
- González-Acunã, Rafael G
Chaparro-Romo, Héctor A
Gutiérrez-Vega, Julio C - Other Names:
- Institute of Physics (Great Britain), publisher.
- Contents:
- Part I. A historical, mathematical and optical introduction. 1. A brief history of stigmatic lens design -- 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 dimensions 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 casePart I. A historical, mathematical and optical introduction. 1. A brief history of stigmatic lens design -- 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 dimensions 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. Galley 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. Galley 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. 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 two solutions -- 15.5. Examples -- 15.6. Conclusions. … (more)
- Publisher Details:
- Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing
- Publication Date:
- 2020
- Extent:
- 1 online resource, illustrations (some color)
- Subjects:
- 681/.423
Lenses -- Design and construction
Optical physics
SCIENCE / Physics / Optics & Light
Lenses -- Design and construction
Electronic books - Languages:
- English
- ISBNs:
- 9780750331678
0750331674
9780750331661
0750331666 - Related ISBNs:
- 9780750331654
0750331658
9780750331685
0750331682 - Notes:
- Note: Includes bibliographical references.
Note: Title from PDF title page (viewed on May 6, 2020). - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.515251
- Ingest File:
- 03_098.xml