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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 aplanetism 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.
Key Features
- Provides worked examples throughout
- Includes end-of-chapter problems
- Provides mathematical tools such as Mathematica
- Discusses physical concepts
- Has been revised and expanded to discuss stigmatic mirror systems
Authors of the first edition
Rafael G González-Acuña studied industrial physics engineering at the Tecnológico de Monterrey and studied a master’s degree in optomechatronics at Centro de investigaciones en Óptica, A.C. He has a PhD in optics from Tecnológico 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.
Héctor 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 Gutiérrez-Vega is a full professor in the Physics Department and heads the Photonics and Mathematical Optics Group at the Tecnológico de Monterrey, México. 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. Gutiérrez-Vega is a fellow member of OSA.
Author of the second edition
Rafael G González-Acuña studied industrial physics engineering at the Tecnológico de Monterrey and studied a master’s degree in optomechatronics at Centro de investigaciones en Óptica, A.C. He has a PhD in optics from Tecnológico 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.
Part I A historical, mathematical and optical introduction for beginners
1 A brief history of stigmatic lens design
2 A mathematical toolkit for stigmatic imaging
3 An introduction to geometrical optics
Part II Stigmatic singlets
4 On-axis stigmatic aspheric lens
5 Geometry of on-axis stigmatic lenses
6 Topology of on-axis stigmatic lenses
7 The gaxicon
8 On-axis spherochromatic singlet
Part III Stigmatic and astigmatic freeform singlets
9 On-axis stigmatic freeform lens
10 On-axis astigmatic freeform lens
Part IV Stigmatic optical systems
11 On-axis sequential optical systems
12 On-axis sequential refractive–reflective telescope
Part V Aplanatic singlets and optical systems
13 Off-axis stigmatic lens
14 Aplanatic singlet lens: general setting part 1
15 Aplanatic singlet lens: general setting part 2
16 Abbe aplanatic singlet
17 Abbe aplanatic optical systems
Part VI Stigmatic mirror systems
18 The set of all possible pairs of stigmatic mirrors
19 Design of a pair of aplanatic mirrors
20 The stigmatic three-freeform-mirror system
21 The power set of mirror-based stigmatic optical systems
Algorithms