Elements of Optical and Laser Beam Scanning: Modeling of Mirror and Prism Scanning Devices

Elements of Optical and Laser Beam Scanning: Modeling of Mirror and Prism Scanning Devices

Author(s): Yajun Li

Published: 2021

https://doi.org/10.1117/3.2593204

PDF ISBN: 9781510643697 | Print ISBN: 9781510643680

DESCRIPTION

This book provides mathematical analyses of scanning devices in optical and laser systems to yield results with higher accuracy than those obtained by geometrical imaging an object with a movable mirror or prism. Topics include the laws of reflection and refraction and the mathematical preliminaries of analytical raytracing; mirror-scanning devices with one axis of rotation (conic-section scanning) and with two axes of rotation (gimbaled mirror and galvanometric scanners in cascade for 2D scanning); and Risley-prism-based beam-steering systems. Readers should have a foundation in vector operation and calculus, and a reasonable knowledge of elementary optics and lasers.

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Front Matter

CHAPTER 1.

Introduction

Chapter Outline +

CHAPTER 2.

One-Mirror and One-Axis Scanning Devices

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CHAPTER 3.

Scan Field of Rotating Reflective Polygons

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CHAPTER 4.

Differential Geometry of the Ruled Surfaces Optically Produced by Mirror Scanning Devices

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CHAPTER 5.

Two-Mirror and Two-Axis Scanning Systems of Different Configurations

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CHAPTER 6.

Gimbaled Mirror for Two-Dimensional Beam-Steering

Chapter Outline +

CHAPTER 7.

Exact and Approximate Solutions for Risley-Prism- Based Beam-Steering Systems in Different Configurations

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CHAPTER 8.

Forward and Inverse Solutions for Two-Element Risley-Prism-Based Beam-Steering Systems in Different Configurations

Chapter Outline +

CHAPTER 9.

Inverse Solutions for Three- Element Risley-Prism-Based Beam-Steering Systems in Different Configurations

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CHAPTER 10.

Error Sources and Their Influence on the Performance of Risley-Prism-Based Beam Steering Systems

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Appendix A: Vector Algebra Preliminaries

Appendix B: Scanning Spot Distortions along a Curved Path in Conic- Section Scan Pattern Produced by Galvanometric Scanners

Appendix C: Scanner-Lens Configurations: Objective, Post-Objective, Pre-Objective Scanning and the Flat Field Scanning Lens

Appendix D: Derivation of the Expression for the Depth of Scan Field Produced by a Prismatic Polygon Scanner

Appendix E: Gaussian First and Second Differential Forms of the Ruled Surfaces Generated by Single- Mirror Scanning Devices of Different Configurations

Appendix F: Ruled Surfaces Optically Generated by Gimbaled Mirrors

Appendix G: One-Step Method for the Inverse Solution of Risley Prism Pair

Appendix H: Blind Zone and Control Singularities for a Risley Prism Pair

Appendix I: Direction Cosines of the Ray Emergent Form a Three- Element Risley Prism Pointer

Appendix J: Analytical Model for N-Element Risley Prism Pointers

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