Advanced geometrical optics

• Main Author: Lin, P. D. (Author)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer, [2016]
• Series: Progress in optical science and photonics ; v. 4.
• Subjects: Geometrical optics.; elektronické knihy; electronic books
• ISBN: 9789811022999; 9789811022982
• ISSN: 2363-5096 ;
• Physical Description: 1 online resource (xxiv, 460 pages) : illustrations (some color)

Table of 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.
• 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.
• 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.
• 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.
• 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.