P. Lin – Advanced Geometrical Optics (2017)

Автор: P. Lin
Название книги: Advanced Geometrical Optics
Формат: PDF
Жанр: Физика
Страницы: 470
Качество: Изначально компьютерное, E-book

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.
Contents:
A New Light on Old Geometrical Optics (Raytracing Equations of Geometrical Optics)
Mathematical Background
Skew-Ray Tracing of Geometrical Optics
Geometrical Optical Model
Raytracing Equations for Paraxial Optics
Cardinal Points and Image Equations
Ray Aberrations
New Tools for Optical Analysis and Design (First-Order Derivative Matrices of a Ray and its OPL)
Jacobian Matrices of Ray R̄i with Respect to Incoming Ray R̄i–1 and Boundary Variable Vector X̄i
Jacobian Matrix of Boundary Variable Vector X̄i with Respect to System Variable Vector X̄sys
Prism Analysis
Prism Design Based on Image Orientation
Determination of Prism Reflectors to Produce Required Image Orientation
Optically Stable Systems
Point Spread Function, Caustic Surfaces and Modulation Transfer Function
Optical Path Length and Its Jacobian Matrix
A Bright Light for Geometrical Optics (Second-Order Derivative Matrices of a Ray and its OPL)
Wavefront Aberration and Wavefront Shape
Hessian Matrices of Ray R̄i with Respect to Incoming Ray R̄i-1 and Boundary Variable Vector X̄i
Hessian Matrix of Boundary Variable Vector X̄i with Respect to System Variable Vector X̄sys
Hessian Matrix of Optical Path Length