This book aims to overcome the traditional ray paradigm and provide an analytical paradigm for Nonimaging Optics based on Field Theory. As a second objective, the authors address the connections between this Field Theory of Nonimaging Optics and other radiative transfer theories.
The book introduces the Field Theory of Nonimaging Optics as a new analytical paradigm, not statistical, to analyze problems in the frame of nonimaging geometrical optics, with a formulation based on field theory of irradiance vector D. This new paradigm provides new principles and tools in the optical system design methods, complementary to flowline method, overcoming the classical ray paradigm. This new Field paradigm can be considered as a generalization of the ray paradigm and new accurate and faster computation algorithms will be developed. In a parallel way, the advance in the knowledge of the principles of Field Theory of Nonimaging Optics has produced clear advances in the connection between nonimaging optics and other apparently disconnected theories of radiation transfer. The irradiance vector D can be considered as the macroscopic average of Poynting vector, with a clear connection with radiation pressure. Lorentz geometry techniques can also be applied to study irradiance vector D. There are clear thermodynamic connections between the nonimaging concentrator and Stefan-Boltzmann law of radiation. From this thermodynamic connection, nonimaging optics and irradiance vector D can also be studied from a phase space point of view.
This book is intended for researchers, graduate students, academics and professionals looking to analyze, design and optimize optical systems.
Author(s): Angel Garcia-Botella, Roland Winston, Lun Jiang
Publisher: CRC Press
Year: 2023
Language: English
Pages: 183
City: Boca Raton
Cover
Half Title
Title Page
Copyright Page
Contents
1. The Light Field and the Flowline Design Method
1.1. Introduction
1.2. Sphere Ellipse Paradox
1.3. The Irradiance Vector
1.4. Irradiance Vector, Geometrical Vector Flux and Étendue
1.5. The Edge Ray Principle and the Cone of Edge Rays
1.6. Basic Properties ofa Light Field D
1.7. Surface Integral of D
1.8. The Line Integral of D
1.9. Flowline Design Method
1.10. The Role of Coordinate Systems
1.11. Field of Non-Lambertian Sources
2. Flowline Method in Nonimaging Designs
2.1. Compound Parabolic Concentrator CPC
2.2. Hyperparabolic Concentrator HPC
2.3. Compound Elliptical Concentrator
2.4. Coordinate Systems in the Flowline Design Method
2.5. 3D Hyperboloid
2.6. One-Sheeted Hyperboloid
2.7. Flowline Asymmetric Nonimaging Concentrating Optics
2.8. Ideal Source-Receiver Transmission Design
3. Field Theory Elements
3.1. Classification of Nonimaging Optics Fields
3.2. Geometrical Description of Modulus of D
3.3. Contour Integrals of the Light Field
3.4. D Produced by an Arbitrary Plane Source
3.5. Vector Potential and Gauge Invariance
3.6. Some Irradiance Pattern Computation Examples
3.7. The Curl of D and Quasipotential Fields
3.8. Basic Introduction to Lorentz Geometry
3.9. Application of Lorentz Geometry to the Evaluation of D
4. The Irradiance Vector in Optical Media
4.1. D Vector at Interface between Refractive Media
4.2. Orthogonal Refractive Interfaces
4.3. Refracted Cone of Edge Rays
4.4. D through Refractive Media
4.5. D through Reflective Media
4.6. Lorentz Formalism to Compute D through Refractive Media
4.7. Using Lorentz Formalism to Compute D through Reflective Media
4.8. D through Inhomogeneous Refractive Medium, Curved Cones of Edge Rays
5. Thermodynamic Basis of the Irradiance Vector
5.1. Introduction
5.2. Relations between D and Thermodynamic Variables
5.3. Thermodynamic Origin of Nonimaging Optics
5.4. Blackbody Radiation in a Cavity and the Radiation Pressure
5.5. Kirchhoff Radiation Law
6. Phase Space in Nonimaging Optics
6.1. Introduction to Phase Space in Nonimaging Optics
6.2. Irradiance Vector D in Phase Space
6.3. The θiθo Concentrator
6.4. Cone Concentrator as Ideal 3D Phase Space Transfer Device
6.5. Fermi Proof of Phase Space Volume or Étendue Conservation
A. The Edge Ray Theorem
A.1. Introduction
A.2. The Continuous Case
A.3. The Sequential Surface
A.4. The Flowline Mirror Case
Bibliography
Index
