This book presents an in-depth look at lenses free of spherical aberrations and is provided using illustrative examples. Mathematical principles behind lenses free of spherical aberration are included with an introduction to set theory, the conics, continuity, real analysis and topology. Physical principles are covered as well as a step by step guide to mathematical model for deducing the general formula of the stigmatic lens, in order to design a singlet free of spherical aberration. Subsequently, the characteristics of these lenses and the equations that describes them are studied. Finally, several implications of these lenses are studied, 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. The book is a valuable resource for industrial specialists and academics in lens design and optics, and an insightful guide for optical physics students.

This book examines the concept of stigmatism fromits base to the most fundamental stigmatic systems. It is an excellent guidefor producers of lenses and optical products, and academics in lens design andoptics.

This book provides a concise introduction to computer vision for optical researchers and scientists. Building from the optical foundations of image processing and the science behind camera sensors, Optics and Artificial Vision equips the reader with the tools needed to understand and engage with digital image processing, the algorithms of optical flow and the algorithms of object detection, using Python® software to show real, implemented applications in industry. Ideal for industry engineers with projects related to computer vision, as well as a good reference text for academics, students and other researchers working at the intersection of artificial intelligence and optics.Key Features:

This book is mostly based in an equation that was recently published. The equation is the general formula for adaptive optics mirrors, which was published in January 2021 - General mirror formula for adaptive optics, Applied Optics 60(2). The book addresses the introductory topics, the solution (general formula for adaptive optics mirrors), the implications, and the potential applications. Optical Path Theory: Fundamentals to freeform adaptive optics focuses on the potential to find analytical close form solutions using optical path theory to solve and design adaptive optics systems, with a thorough introduction to the subject. The book moves into exploring optical systems in the plane. Step-by-step equations provide each of these systems to plot their waves, emphasising the mathematical derivations. With a mathematical presentation of concepts, this book is complete with details, problems, solutions, and a multitude of useful examples. Ideal for graduates in optics. Key Features • Provides an introduction of the three main axioms implemented in optical path theory • Includes worked examples and problems in each chapter • Presents codes and algorithms • Details the physical concepts and mathematical tools needed to understand eikonal and the closed form solution of stigmatic optical systems • Contains Mathematica throughout.

This book presents an in-depth look at lenses free of spherical aberrations and is provided using illustrative examples. Mathematical principles behind lenses free of spherical aberration are included with an introduction to set theory, the conics, continuity, real analysis and topology. Physical principles are covered as well as a step by step guide to mathematical model for deducing the general formula of the stigmatic lens, in order to design a singlet free of spherical aberration. Subsequently, the characteristics of these lenses and the equations that describes them are studied. Finally, several implications of these lenses are studied, 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. The book is a valuable resource for industrial specialists and academics in lens design and optics, and an insightful guide for optical physics students.

This book examines the concept of stigmatism fromits base to the most fundamental stigmatic systems. It is an excellent guidefor producers of lenses and optical products, and academics in lens design andoptics.

This book provides a concise introduction to computer vision for optical researchers and scientists. Building from the optical foundations of image processing and the science behind camera sensors, Optics and Artificial Vision equips the reader with the tools needed to understand and engage with digital image processing, the algorithms of optical flow and the algorithms of object detection, using Python® software to show real, implemented applications in industry. Ideal for industry engineers with projects related to computer vision, as well as a good reference text for academics, students and other researchers working at the intersection of artificial intelligence and optics.Key Features:

This book is mostly based in an equation that was recently published. The equation is the general formula for adaptive optics mirrors, which was published in January 2021 - General mirror formula for adaptive optics, Applied Optics 60(2). The book addresses the introductory topics, the solution (general formula for adaptive optics mirrors), the implications, and the potential applications. Optical Path Theory: Fundamentals to freeform adaptive optics focuses on the potential to find analytical close form solutions using optical path theory to solve and design adaptive optics systems, with a thorough introduction to the subject. The book moves into exploring optical systems in the plane. Step-by-step equations provide each of these systems to plot their waves, emphasising the mathematical derivations. With a mathematical presentation of concepts, this book is complete with details, problems, solutions, and a multitude of useful examples. Ideal for graduates in optics. Key Features • Provides an introduction of the three main axioms implemented in optical path theory • Includes worked examples and problems in each chapter • Presents codes and algorithms • Details the physical concepts and mathematical tools needed to understand eikonal and the closed form solution of stigmatic optical systems • Contains Mathematica throughout.