| Description |
1 online resource (xxiv, 460 pages) : illustrations (some color) |
| Series |
Progress in optical science and photonics, 2363-5096 ; volume 4 |
|
Progress in optical science and photonics ; v. 4. 2363-5096
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| Contents |
Preface; Acknowledgements; Contents; A New Light on Old Geometrical Optics (Raytracing Equations of Geometrical Optics); 1 Mathematical Background; 1.1 Foundational Mathematical Tools and Units; 1.2 Vector Notation; 1.3 Coordinate Transformation Matrix; 1.4 Basic Translation and Rotation Matrices; 1.5 Specification of a Pose Matrix by Using Translation and Rotation Matrices; 1.6 Inverse Matrix of a Transformation Matrix; 1.7 Flat Boundary Surface; 1.8 RPY Transformation Solutions; 1.9 Equivalent Angle and Axis of Rotation; 1.10 The First- and Second-Order Partial Derivatives of a Vector |
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1.11 Introduction to Optimization MethodsReferences; 2 Skew-Ray Tracing of Geometrical Optics; 2.1 Source Ray; 2.2 Spherical Boundary Surfaces; 2.2.1 Spherical Boundary Surface and Associated Unit Normal Vector; 2.2.2 Incidence Point; 2.2.3 Unit Directional Vectors of Reflected and Refracted Rays; 2.3 Flat Boundary Surfaces; 2.3.1 Flat Boundary Surface and Associated Unit Normal Vector; 2.3.2 Incidence Point; 2.3.3 Unit Directional Vectors of Reflected and Refracted Rays; 2.4 General Aspherical Boundary Surfaces; 2.4.1 Aspherical Boundary Surface and Associated Unit Normal Vector |
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2.4.2 Incidence Point2.5 The Unit Normal Vector of a Boundary Surface for Given Incoming and Outgoing Rays; 2.5.1 Unit Normal Vector of Refractive Boundary Surface; 2.5.2 Unit Normal Vector of Reflective Boundary Surface; References; 3 Geometrical Optical Model; 3.1 Axis-Symmetrical Systems; 3.1.1 Elements with Spherical Boundary Surfaces; 3.1.2 Elements with Spherical and Flat Boundary Surfaces; 3.1.3 Elements with Flat and Spherical Boundary Surfaces; 3.1.4 Elements with Flat Boundary Surfaces; 3.2 Non-axially Symmetrical Systems; 3.3 Spot Diagram of Monochromatic Light |
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3.4 Point Spread Function3.5 Modulation Transfer Function; 3.6 Motion Measurement Systems; References; 4 Raytracing Equations for Paraxial Optics; 4.1 Raytracing Equations of Paraxial Optics for 3-D Optical Systems; 4.1.1 Transfer Matrix; 4.1.2 Reflection and Refraction Matrices for Flat Boundary Surface; 4.1.3 Reflection and Refraction Matrices for Spherical Boundary Surface; 4.2 Conventional 2€×€2 Raytracing Matrices for Paraxial Optics; 4.2.1 Refracting Boundary Surfaces; 4.2.2 Reflecting Boundary Surfaces |
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4.3 Conventional Raytracing Matrices for Paraxial Optics Derived from Geometry Relations4.3.1 Transfer Matrix for Ray Propagating Along Straight-Line Path; 4.3.2 Refraction Matrix at Refractive Flat Boundary Surface; 4.3.3 Reflection Matrix at Flat Mirror; 4.3.4 Refraction Matrix at Refractive Spherical Boundary Surface; 4.3.5 Reflection Matrix at Spherical Mirror; References; 5 Cardinal Points and Image Equations; 5.1 Paraxial Optics; 5.2 Cardinal Planes and Cardinal Points; 5.2.1 Location of Focal Points; 5.2.2 Location of Nodal Points; 5.3 Thick and Thin Lenses; 5.4 Curved Mirrors |
| Summary |
This book computes the first- and second-order derivative matrices of skew ray and optical path length, while also providing an important mathematical tool for automatic optical design. This book consists of three parts. Part One reviews the basic theories of skew-ray tracing, paraxial optics and primary aberrations - essential reading that lays the foundation for the modeling work presented in the rest of this book. Part Two derives the Jacobian matrices of a ray and its optical path length. Although this issue is also addressed in other publications, they generally fail to consider all of the variables of a non-axially symmetrical system. The modeling work thus provides a more robust framework for the analysis and design of non-axially symmetrical systems such as prisms and head-up displays. Lastly, Part Three proposes a computational scheme for deriving the Hessian matrices of a ray and its optical path length, offering an effective means of determining an appropriate search direction when tuning the system variables in the system design process |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed October 27, 2016) |
| Subject |
Geometrical optics.
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SCIENCE -- Physics -- Optics & Light.
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|
Geometrical optics
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| Form |
Electronic book
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| ISBN |
9789811022999 |
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9811022992 |
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