Optical Engineering Science

Optical Engineering Science
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A practical guide for engineers and students that covers a wide range of optical design and optical metrology topics Optical Engineering Science offers a comprehensive and authoritative review of the science of optical engineering. The book bridges the gap between the basic theoretical principles of classical optics and the practical application of optics in the commercial world. Written by a noted expert in the field, the book examines a range of practical topics that are related to optical design, optical metrology and manufacturing. The book fills a void in the literature by coving all three topics in a single volume. Optical engineering science is at the foundation of the design of commercial optical systems, such as mobile phone cameras and digital cameras as well as highly sophisticated instruments for commercial and research applications. It spans the design, manufacture and testing of space or aerospace instrumentation to the optical sensor technology for environmental monitoring. Optics engineering science has a wide variety of applications, both commercial and research. This important book: Offers a comprehensive review of the topic of optical engineering Covers topics such as optical fibers, waveguides, aspheric surfaces, Zernike polynomials, polarisation, birefringence and more Targets engineering professionals and students Filled with illustrative examples and mathematical equations Written for professional practitioners, optical engineers, optical designers, optical systems engineers and students, Optical Engineering Science offers an authoritative guide that covers the broad range of optical design and optical metrology topics and their applications.

Оглавление

Stephen Rolt. Optical Engineering Science

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Optical Engineering Science

Preface

Glossary

About the Companion Website

1 Geometrical Optics. 1.1 Geometrical Optics – Ray and Wave Optics

1.2 Fermat's Principle and the Eikonal Equation

1.3 Sequential Geometrical Optics – A Generalised Description

1.3.1 Conjugate Points and Perfect Image Formation

1.3.2 Infinite Conjugate and Focal Points

1.3.3 Principal Points and Planes

1.3.4 System Focal Lengths

1.3.5 Generalised Ray Tracing

1.3.6 Angular Magnification and Nodal Points

1.3.7 Cardinal Points

1.3.8 Object and Image Locations - Newton's Equation

1.3.9 Conditions for Perfect Image Formation – Helmholtz Equation

1.4 Behaviour of Simple Optical Components and Surfaces. 1.4.1 General

1.4.2 Refraction at a Plane Surface and Snell's Law

1.4.3 Refraction at a Curved (Spherical) Surface

1.4.4 Refraction at Two Spherical Surfaces (Lenses)

1.4.5 Reflection by a Plane Surface

1.4.6 Reflection from a Curved (Spherical) Surface

1.5 Paraxial Approximation and Gaussian Optics

1.6 Matrix Ray Tracing. 1.6.1 General

1.6.2 Determination of Cardinal Points

1.6.3 Worked Examples

Worked Example 1.1 Thick Lens

Worked Example 1.2 Hubble Space Telescope

1.6.4 Spreadsheet Analysis

Further Reading

2 Apertures Stops and Simple Instruments. 2.1 Function of Apertures and Stops

2.2 Aperture Stops, Chief, and Marginal Rays

2.3 Entrance Pupil and Exit Pupil

Worked Example 2.1 Cooke Triplet

2.4 Telecentricity

2.5 Vignetting

2.6 Field Stops and Other Stops

2.7 Tangential and Sagittal Ray Fans

2.8 Two Dimensional Ray Fans and Anamorphic Optics

2.9 Optical Invariant and Lagrange Invariant

2.10 Eccentricity Variable

2.11 Image Formation in Simple Optical Systems

2.11.1 Magnifying Glass or Eye Loupe

2.11.2 The Compound Microscope

2.11.3 Simple Telescope

2.11.4 Camera

Further Reading

3 Monochromatic Aberrations. 3.1 Introduction

3.2 Breakdown of the Paraxial Approximation and Third Order Aberrations

3.3 Aberration and Optical Path Difference

3.4 General Third Order Aberration Theory

3.5 Gauss-Seidel Aberrations. 3.5.1 Introduction

3.5.2 Spherical Aberration

3.5.3 Coma

3.5.4 Field Curvature

3.5.5 Astigmatism

3.5.6 Distortion

3.6 Summary of Third Order Aberrations

3.6.1 OPD Dependence

3.6.2 Transverse Aberration Dependence

3.6.3 General Representation of Aberration and Seidel Coefficients

Further Reading

4 Aberration Theory and Chromatic Aberration. 4.1 General Points

4.2 Aberration Due to a Single Refractive Surface

4.2.1 Aplanatic Points

Worked Example 4.1Microscope Objective

4.2.2 Astigmatism and Field Curvature

4.3 Reflection from a Spherical Mirror

4.4 Refraction Due to Optical Components. 4.4.1 Flat Plate

Worked Example 4.2 Microscope Cover Slip

4.4.2 Aberrations of a Thin Lens

4.4.2.1 Conjugate Parameter and Lens Shape Parameter

4.4.2.2 General Formulae for Aberration of Thin Lenses

4.4.2.3 Aberration Behaviour of a Thin Lens at Infinite Conjugate

Worked Example 4.3 Best form Singlet

4.4.2.4 Aplanatic Points for a Thin Lens

Worked Example 4.4 Microscope Objective – Hyperhemisphere Plus Meniscus Lens

4.5 The Effect of Pupil Position on Element Aberration

4.6 Abbe Sine Condition

4.7 Chromatic Aberration. 4.7.1 Chromatic Aberration and Optical Materials

4.7.2 Impact of Chromatic Aberration

Worked Example 4.5 Lateral Chromatic Aberration and the Huygens Eyepiece

4.7.3 The Abbe Diagram for Glass Materials

4.7.4 The Achromatic Doublet

Worked Example 4.6 Simple Achromatic Doublet

4.7.5 Optimisation of an Achromatic Doublet (Infinite Conjugate)

Worked Example 4.7 Detailed Design of 200 mm Focal Length Achromatic Doublet

4.7.6 Secondary Colour

4.7.7 Spherochromatism

4.8 Hierarchy of Aberrations

Further Reading

5 Aspheric Surfaces and Zernike Polynomials. 5.1 Introduction

5.2 Aspheric Surfaces. 5.2.1 General Form of Aspheric Surfaces

5.2.2 Attributes of Conic Mirrors

Worked Example 5.1 Simple Mirror-Based Magnifier

5.2.3 Conic Refracting Surfaces

5.2.4 Optical Design Using Aspheric Surfaces

5.3 Zernike Polynomials. 5.3.1 Introduction

5.3.2 Form of Zernike Polynomials

5.3.3 Zernike Polynomials and Aberration

5.3.4 General Representation of Wavefront Error

5.3.5 Other Zernike Numbering Conventions

Further Reading

6 Diffraction, Physical Optics, and Image Quality. 6.1 Introduction

6.2 The Eikonal Equation

6.3 Huygens Wavelets and the Diffraction Formulae

6.4 Diffraction in the Fraunhofer Approximation

6.5 Diffraction in an Optical System – the Airy Disc

Worked Example 6.1 Microscope Objective

6.6 The Impact of Aberration on System Resolution. 6.6.1 The Strehl Ratio

6.6.2 The Maréchal Criterion

6.6.3 The Huygens Point Spread Function

6.7 Laser Beam Propagation. 6.7.1 Far Field Diffraction of a Gaussian Laser Beam

Worked Example 6.3 – Beam Divergence of a Fibre Laser

6.7.2 Gaussian Beam Propagation

Worked Example 6.4 – Rayleigh Distance of Fibre Laser

6.7.3 Manipulation of a Gaussian Beam

Worked Example 6.5 – Gaussian Beam Manipulation

6.7.4 Diffraction and Beam Quality

6.7.5 Hermite Gaussian Beams

6.7.6 Bessel Beams

6.8 Fresnel Diffraction

6.9 Diffraction and Image Quality. 6.9.1 Introduction

6.9.2 Geometric Spot Size

6.9.3 Diffraction and Image Quality

6.9.4 Modulation Transfer Function

6.9.5 Other Imaging Tests

Further Reading

7 Radiometry and Photometry. 7.1 Introduction

7.2 Radiometry. 7.2.1 Radiometric Units

7.2.2 Significance of Radiometric Units

7.2.3 Ideal or Lambertian Scattering

7.2.4 Spectral Radiometric Units

7.2.5 Blackbody Radiation

7.2.6 Étendue

Worked Example 7.1 Flux Calculation

7.3 Scattering of Light from Rough Surfaces

7.4 Scattering of Light from Smooth Surfaces

7.5 Radiometry and Object Field Illumination. 7.5.1 Köhler Illumination

7.5.2 Use of Diffusers

7.5.3 The Integrating Sphere. 7.5.3.1 Uniform Illumination

7.5.3.2 Integrating Sphere Measurements

7.5.4 Natural Vignetting

7.6 Radiometric Measurements. 7.6.1 Introduction

7.6.2 Radiometric Calibration. 7.6.2.1 Substitution Radiometry

7.6.2.2 Reference Sources

7.6.2.3 Other Calibration Standards

7.7 Photometry. 7.7.1 Introduction

7.7.2 Photometric Units

7.7.3 Illumination Levels

7.7.4 Colour. 7.7.4.1 Tristimulus Values

7.7.4.2 RGB Colour

7.7.5 Astronomical Photometry

Further Reading

8 Polarisation and Birefringence. 8.1 Introduction

8.2 Polarisation. 8.2.1 Plane Polarised Waves

8.2.2 Circularly and Elliptically Polarised Light

8.2.3 Jones Vector Representation of Polarisation

8.2.4 Stokes Vector Representation of Polarisation

8.2.5 Polarisation and Reflection

8.2.6 Directional Flux – Poynting Vector

8.3 Birefringence. 8.3.1 Introduction

8.3.2 The Index Ellipsoid

8.3.3 Propagation of Light in a Uniaxial Crystal – Double Refraction

Worked Example 8.4 Double Refraction in Calcite

8.3.4 ‘Walk-off’ in Birefringent Crystals

Worked Example 8.5 – Walk off Angle

8.3.5 Uniaxial Materials

8.3.6 Biaxial Crystals

8.4 Polarisation Devices. 8.4.1 Waveplates

8.4.2 Polarising Crystals

8.4.3 Polarising Beamsplitter

8.4.4 Wire Grid Polariser

8.4.5 Dichroitic Materials

8.4.6 The Faraday Effect and Polarisation Rotation

8.5 Analysis of Polarisation Components. 8.5.1 Jones Matrices

Worked Example 8.6 Twisted Nematic Liquid Crystal

8.5.2 Müller Matrices

8.6 Stress-induced Birefringence

Further Reading

9 Optical Materials. 9.1 Introduction

9.2 Refractive Properties of Optical Materials. 9.2.1 Transmissive Materials. 9.2.1.1 Modelling Dispersion

Worked Example 9.1 Abbe Number of SCHOTT BK7

9.2.1.2 Temperature Dependence of Refractive Index

9.2.1.3 Temperature Coefficient of Refraction for Air

9.2.2 Behaviour of Reflective Materials

Worked Example 9.2 Reflectivity of Aluminium

9.2.3 Semiconductor Materials

9.3 Transmission Characteristics of Materials. 9.3.1 General

9.3.2 Glasses

9.3.3 Crystalline Materials

9.3.4 Chalcogenide Glasses

9.3.5 Semiconductor Materials

9.3.6 Polymer Materials

9.3.7 Overall Transmission Windows for Common Optical Materials

9.4 Thermomechanical Properties. 9.4.1 Thermal Expansion

9.4.2 Dimensional Stability Under Thermal Loading

9.4.3 Annealing

9.4.4 Material Strength and Fracture Mechanics

Worked Example 9.3 Achromatic Doublet

9.5 Material Quality. 9.5.1 General

9.5.2 Refractive Index Homogeneity

9.5.3 Striae

9.5.4 Bubbles and Inclusions

9.5.5 Stress Induced Birefringence

9.6 Exposure to Environmental Attack

9.6.1 Climatic Resistance

9.6.2 Stain Resistance

9.6.3 Resistance to Acid and Alkali Attack

9.7 Material Processing

Further Reading

10 Coatings and Filters. 10.1 Introduction

10.2 Properties of Thin Films. 10.2.1 Analysis of Thin Film Reflection

10.2.2 Single Layer Antireflection Coatings

Worked Example 10.1 Single Layer Antireflection Coating

10.2.3 Multilayer Coatings

10.2.4 Thin Metal Films

10.2.5 Protected and Enhanced Metal Films

10.3 Filters. 10.3.1 General

10.3.2 Antireflection Coatings

10.3.3 Edge Filters

10.3.4 Bandpass Filters

10.3.5 Neutral Density Filters

10.3.6 Polarisation Filters

Worked Example 10.2 Polarising Beamsplitter

10.3.7 Beamsplitters

10.3.8 Dichroic Filters

10.3.9 Etalon Filters

Worked Example 10.3 Etalon Filter

10.4 Design of Thin Film Filters

10.5 Thin Film Materials

10.6 Thin Film Deposition Processes. 10.6.1 General

10.6.2 Evaporation

10.6.3 Sputtering

10.6.4 Thickness Monitoring

Further Reading

11 Prisms and Dispersion Devices. 11.1 Introduction

11.2 Prisms. 11.2.1 Dispersive Prisms

11.2.2 Reflective Prisms

11.3 Analysis of Diffraction Gratings. 11.3.1 Introduction

11.3.2 Principle of Operation

Worked Example 11.2 Diffraction Grating

11.3.3 Dispersion and Resolving Power

Worked Example 11.3 Diffraction Grating Resolving Power

11.3.4 Efficiency of a Transmission Grating

11.3.5 Phase Gratings

11.3.6 Impact of Varying Angle of Incidence

Worked Example 11.4 Transmission Grating with Non-Zero Incidence Angle

11.3.7 Reflection Gratings

Worked Example 11.5 Blazed Grating

11.3.8 Impact of Polarisation

11.3.9 Other Grating Types. 11.3.9.1 Holographic Gratings

11.3.9.2 Echelle Grating

11.3.9.3 Concave Gratings – The Rowland Grating

11.3.9.4 Grisms

Worked Example 11.6 Design of Visible Grating Prism

11.4 Diffractive Optics

11.5 Grating Fabrication. 11.5.1 Ruled Gratings

11.5.2 Holographic Gratings

Further Reading

12 Lasers and Laser Applications. 12.1 Introduction

12.2 Stimulated Emission Schemes. 12.2.1 General

12.2.2 Stimulated Emission in Ruby

12.2.3 Stimulated Emission in Neon

12.2.4 Stimulated Emission in Semiconductors

12.3 Laser Cavities. 12.3.1 Background

12.3.2 Longitudinal Modes

Worked Example 12.1 Longitudinal Modes in Helium Neon Laser

12.3.3 Longitudinal Mode Phase Relationship – Mode Locking

12.3.4 Q Switching

12.3.5 Distributed Feedback

12.3.6 Ring Lasers

12.3.7 Transverse Modes

12.3.8 Gaussian Beam Propagation in a Laser Cavity

Worked Example 12.2 Helium Neon Laser Beam

12.4 Taxonomy of Lasers. 12.4.1 General

12.4.2 Categorisation. 12.4.2.1 Gas Lasers

12.4.2.2 Solid State Lasers

12.4.2.3 Fibre Lasers

12.4.2.4 Semiconductor Lasers

12.4.2.5 Chemical Lasers

12.4.2.6 Dye Lasers

12.4.2.7 Optical Parametric Oscillators and Non-linear Devices

12.4.2.8 Other Lasers

12.4.3 Temporal Characteristics

12.4.4 Power

12.5 List of Laser Types

12.5.1 Gas Lasers

12.5.2 Solid State Lasers

12.5.3 Semiconductor Lasers

12.5.4 Chemical Lasers

12.5.5 Dye Lasers

12.5.6 Other Lasers

12.6 Laser Applications. 12.6.1 General

12.6.2 Materials Processing

12.6.3 Lithography

12.6.4 Medical Applications

12.6.5 Surveying and Dimensional Metrology

12.6.6 Alignment

12.6.7 Interferometry and Holography

12.6.8 Spectroscopy

12.6.9 Data Recording

12.6.10 Telecommunications

Further Reading

13 Optical Fibres and Waveguides. 13.1 Introduction

13.2 Geometrical Description of Fibre Propagation. 13.2.1 Step Index Fibre

13.2.2 Graded Index Optics. 13.2.2.1 Graded Index Fibres

13.2.2.2 Gradient Index Optics

Worked Example 13.1 GRIN Lens

13.2.3 Fibre Bend Radius

13.3 Waveguides and Modes. 13.3.1 Simple Description – Slab Modes

Worked Example 13.2 Cut off Wavelength of a Slab Waveguide

13.3.2 Propagation Velocity and Dispersion

13.3.3 Strong and Weakly Guiding Structures

13.4 Single Mode Optical Fibres. 13.4.1 Basic Analysis

Worked 13.3 Single Mode Fibre

13.4.2 Generic Analysis of Single Mode Fibres

Worked Example 13.4 Single Mode Fibre Mode Size

13.4.3 Impact of Fibre Bending

13.5 Optical Fibre Materials. 13.5.1 General

13.5.2 Attenuation

13.5.3 Fibre Dispersion

13.6 Coupling of Light into Fibres. 13.6.1 General

13.6.2 Coupling into Single Mode Fibres. 13.6.2.1 Overlap Integral

13.6.2.2 Coupling of Gaussian Beams into Single Mode Fibres

Worked Example 13.5 Single Mode Fibre Coupling

13.7 Fibre Splicing and Connection

13.8 Fibre Splitters, Combiners, and Couplers

13.9 Polarisation and Polarisation Maintaining Fibres. 13.9.1 Polarisation Mode Dispersion

13.9.2 Polarisation Maintaining Fibre

13.10 Focal Ratio Degradation

13.11 Periodic Structures in Fibres. 13.11.1 Photonic Crystal Fibres and Holey Fibres

13.11.2 Fibre Bragg Gratings

13.12 Fibre Manufacture

13.13 Fibre Applications

Further Reading

14 Detectors. 14.1 Introduction

14.2 Detector Types. 14.2.1 Photomultiplier Tubes. 14.2.1.1 General Operating Principle

14.2.1.2 Dynode Multiplication

14.2.1.3 Spectral Sensitivity

14.2.1.4 Dark Current

14.2.1.5 Linearity

14.2.1.6 Photon Counting

14.2.2 Photodiodes. 14.2.2.1 General Operating Principle

14.2.2.2 Sensitivity

14.2.2.3 Dark Current

14.2.2.4 Linearity

14.2.2.5 Breakdown

14.2.3 Avalanche Photodiode

14.2.4 Array Detectors. 14.2.4.1 Introduction

14.2.4.2 Charged Coupled Devices

14.2.4.3 CMOS (Complementary Metal Oxide Semiconductor) Technology

14.2.4.4 Sensitivity

14.2.4.5 Dark Current

14.2.4.6 Linearity

14.2.5 Photoconductive Detectors

14.2.6 Bolometers

14.3 Noise in Detectors. 14.3.1 Introduction

14.3.2 Shot Noise

Worked Example 14.1 Laser Beam Shot Noise

14.3.3 Gain Noise

14.3.4 Background Noise

14.3.5 Dark Current

14.3.6 Johnson Noise. 14.3.6.1 General

Worked Example 14.2 Photomultiplier Sensitivity

14.3.6.2 Johnson Noise in Array Detectors

Worked Example 14.3 Read Noise in a Representative Pixel

14.3.7 Pink or ‘Flicker’ Noise

14.3.8 Combining Multiple Noise Sources

14.3.9 Detector Sensitivity

Worked Example 14.4 NEP of a Photodiode

14.4 Radiometry and Detectors

Worked Example 14.5 SNR in a Thermal Camera

14.5 Array Detectors in Instrumentation. 14.5.1 Flat Fielding of Array Detectors

14.5.2 Image Centroiding

14.5.3 Array Detectors and MTF

Further Reading

15 Optical Instrumentation – Imaging Devices. 15.1 Introduction

15.2 The Design of Eyepieces. 15.2.1 Underlying Principles

15.2.2 Simple Eyepiece Designs – Huygens and Ramsden Eyepieces

15.2.3 Kellner Eyepiece

15.2.4 Plössl Eyepiece

15.2.5 More Complex Designs

15.3 Microscope Objectives. 15.3.1 Background to Objective Design

15.3.2 Design of Microscope Objectives

15.4 Telescopes. 15.4.1 Introduction

15.4.2 Refracting Telescopes

15.4.3 Reflecting Telescopes. 15.4.3.1 Introduction

15.4.3.2 Simple Reflecting Telescopes

15.4.3.3 Ritchey-Chrétien Telescope

Worked Example 15.1 Hubble Space Telescope

15.4.3.4 Three Mirror Anastigmat

Worked Example 15.2 TMA Design

15.4.3.5 Quad Mirror Anastigmat

15.4.4 Catadioptric Systems

15.5 Camera Systems. 15.5.1 Introduction

15.5.2 Simple Camera Lenses

15.5.3 Advanced Designs. 15.5.3.1 Cooke Triplet

Worked Example 15.3 Cooke Triplet

15.5.3.2 Variations on the Cooke Triplet

15.5.3.3 Double Gauss Lens

15.5.3.4 Zoom Lenses

Further Reading

16 Interferometers and Related Instruments. 16.1 Introduction

16.2 Background. 16.2.1 Fringes and Fringe Visibility

16.2.2 Data Processing and Wavefront Mapping

16.3 Classical Interferometers. 16.3.1 The Fizeau Interferometer

16.3.2 The Twyman Green Interferometer

16.3.3 Mach-Zehnder Interferometer

16.3.4 Lateral Shear Interferometer

16.3.5 White Light Interferometer

16.3.6 Interference Microscopy

16.3.7 Vibration Free Interferometry

16.4 Calibration. 16.4.1 Introduction

16.4.2 Calibration and Characterisation of Reference Spheres

16.4.3 Characterisation and Calibration of Reference Flats

16.5 Interferometry and Null Tests. 16.5.1 Introduction

16.5.2 Testing of Conics

16.5.3 Null Lens Tests

16.5.4 Computer Generated Holograms

16.6 Interferometry and Phase Shifting

16.7 Miscellaneous Characterisation Techniques. 16.7.1 Introduction

16.7.2 Shack-Hartmann Sensor

16.7.3 Knife Edge Tests

16.7.4 Fringe Projection Techniques

16.7.5 Scanning Pentaprism Test

16.7.6 Confocal Gauge

Further Reading

17 Spectrometers and Related Instruments. 17.1 Introduction

17.2 Basic Spectrometer Designs. 17.2.1 Introduction

17.2.2 Grating Spectrometers and Order Sorting

17.2.3 Czerny Turner Monochromator. 17.2.3.1 Basic Design

17.2.3.2 Resolution

17.2.3.3 Aberrations

17.2.3.4 Flux and Throughput

17.2.3.5 Instrument Scaling

Worked Example 17.2 Extremely Large Telescope Spectrometer Scaling

17.2.4 Fastie-Ebert Spectrometer

17.2.5 Offner Spectrometer

17.2.6 Imaging Spectrometers. 17.2.6.1 Introduction

17.2.6.2 Spectrometer Architecture

17.2.6.3 Spectrometer Design

Worked Example 17.3 Spectroscope Design

17.2.6.4 Flux and Throughput

17.2.6.5 Straylight and Ghosts

17.2.6.6 2D Object Conditioning

17.2.7 Echelle Spectrometers

17.2.8 Double and Triple Spectrometers

17.3 Time Domain Spectrometry. 17.3.1 Fourier Transform Spectrometry

17.3.2 Wavemeters

Further Reading

18 Optical Design. 18.1 Introduction. 18.1.1 Background

18.1.2 Tolerancing

18.1.3 Design Process

18.1.4 Optical Modelling – Outline. 18.1.4.1 Sequential Modelling

18.1.4.2 Non-Sequential Modelling

18.2 Design Philosophy. 18.2.1 Introduction

18.2.2 Definition of Requirements

18.2.3 Requirement Partitioning and Budgeting

Worked Example 18.1 Partitioning of Requirements

18.2.4 Design Process

18.2.5 Summary of Design Tools

18.3 Optical Design Tools. 18.3.1 Introduction

18.3.2 Establishing the Model. 18.3.2.1 Lens Data Editor

18.3.2.2 System Parameters

18.3.2.3 Co-ordinates

18.3.2.4 Merit Function Editor

18.3.3 Analysis

18.3.4 Optimisation

18.3.5 Tolerancing. 18.3.5.1 Background

18.3.5.2 Tolerance Editor

18.3.5.3 Sensitivity Analysis

18.3.5.4 Monte-Carlo Simulation

18.3.5.5 Refining the Tolerancing Model

18.3.5.6 Default Tolerances

18.3.5.7 Registration and Mechanical Tolerances

18.3.5.8 Sophisticated Modelling of Form Error

18.4 Non-Sequential Modelling. 18.4.1 Introduction

18.4.2 Applications

18.4.3 Establishing the Model. 18.4.3.1 Background and Model Description

18.4.3.2 Lens Data Editor

18.4.3.3 Wavelengths

18.4.3.4 Analysis

18.4.4 Baffling

18.5 Afterword

Further Reading

19 Mechanical and Thermo-Mechanical Modelling. 19.1 Introduction. 19.1.1 Background

19.1.2 Tolerancing

19.1.3 Athermal Design

19.1.4 Mechanical Models

19.2 Basic Elastic Theory. 19.2.1 Introduction

19.2.2 Elastic Theory

19.3 Basic Analysis of Mechanical Distortion. 19.3.1 Introduction

19.3.2 Optical Bench Distortion. 19.3.2.1 Definition of the Problem

19.3.2.2 Application of External Forces

19.3.2.3 Establishing Boundary Conditions

19.3.2.4 Modelling of Deflection under Self-Loading

Worked Example 19.1 Deflection of Optical Table

19.3.2.5 Modelling of Deflection Under ‘Point’ Load

19.3.2.6 Impact of Optical Bench Distortion

19.3.3 Simple Distortion of Optical Components. 19.3.3.1 Introduction

19.3.3.2 Self-Weight Deflection

19.3.3.3 Vacuum or Pressure Flexure

19.3.4 Effects of Component Mounting. 19.3.4.1 General

19.3.4.2 Degrees of Freedom in Mounting

19.3.4.3 Modelling of Mounting Deformation in Mirrors

19.3.4.4 Modelling of Mounting Stresses in Lens Components

19.4 Basic Analysis of Thermo-Mechanical Distortion. 19.4.1 Introduction

19.4.2 Thermal Distortion of Optical Benches

19.4.3 Impact of Focal Shift and Athermal Design

19.4.4 Differential Expansion of a Component Stack

19.4.5 Impact of Mounting and Bonding. 19.4.5.1 Bonding

19.4.5.2 Mounting

19.5 Finite Element Analysis. 19.5.1 Introduction

19.5.2 Underlying Mechanics. 19.5.2.1 Definition of Static Equilibrium

19.5.2.2 Boundary Conditions

19.5.3 FEA Meshing

19.5.4 Some FEA Models

Further Reading

20 Optical Component Manufacture. 20.1 Introduction. 20.1.1 Context

20.1.2 Manufacturing Processes

20.2 Conventional Figuring of Optical Surfaces. 20.2.1 Introduction

20.2.2 Grinding Process

20.2.3 Fine Grinding

20.2.4 Polishing

20.2.5 Metrology

20.3 Specialist Shaping and Polishing Techniques. 20.3.1 Introduction

20.3.2 Computer-Controlled Sub-Aperture Polishing

20.3.3 Magneto-rheological Polishing

20.3.4 Ion Beam Figuring

20.4 Diamond Machining. 20.4.1 Introduction

20.4.2 Basic Construction of a Diamond Machine Tool

20.4.3 Machining Configurations. 20.4.3.1 Single Point Diamond Turning

20.4.3.2 Raster Flycutting

20.4.4 Fixturing and Stability

20.4.5 Moulding and Replication

20.5 Edging and Bonding. 20.5.1 Introduction

20.5.2 Edging of Lenses

20.5.3 Bonding

20.6 Form Error and Surface Roughness

20.7 Standards and Drawings. 20.7.1 Introduction

20.7.2 ISO 10110. 20.7.2.1 Background

20.7.2.2 Material Properties

20.7.2.3 Surface Properties

20.7.2.4 General Information

20.7.3 Example Drawing

Further Reading

21 System Integration and Alignment. 21.1 Introduction. 21.1.1 Background

21.1.2 Mechanical Constraint

21.1.3 Mounting Geometries

21.2 Component Mounting. 21.2.1 Lens Barrel Mounting

21.2.2 Optical Bench Mounting. 21.2.2.1 General

21.2.2.2 Kinematic Mounts

21.2.2.3 Gimbal Mounts

21.2.2.4 Flexure Mounts

21.2.2.5 Hexapod Mounting

21.2.2.6 Linear Stages

21.2.2.7 Micropositioning and Piezo-Stages

21.2.3 Mounting of Large Components and Isostatic Mounting

21.3 Optical Bonding. 21.3.1 Introduction

21.3.2 Material Properties

21.3.3 Adhesive Curing

21.3.4 Applications

21.3.5 Summary of Adhesive Types and Applications

21.4 Alignment. 21.4.1 Introduction

21.4.2 Alignment and Boresight Error

21.4.3 Alignment and Off-Axis Aberrations

21.4.4 Autocollimation and Alignment

21.4.5 Alignment and Spot Centroiding

21.4.6 Alignment and Off-Axis Aberrations

21.5 Cleanroom Assembly. 21.5.1 Introduction

21.5.2 Cleanrooms and Cleanroom Standards

21.5.3 Particle Deposition and Surface Cleanliness

Further Reading

22 Optical Test and Verification. 22.1 Introduction. 22.1.1 General

22.1.2 Verification

22.1.3 Systems, Subsystems, and Components

22.1.4 Environmental Testing

22.1.5 Optical Performance Tests

22.2 Facilities

22.3 Environmental Testing. 22.3.1 Introduction

22.3.2 Dynamical Tests. 22.3.2.1 Vibration

22.3.2.2 Mechanical Shock

22.3.3 Thermal Environment. 22.3.3.1 Temperature and Humidity Cycling

22.3.3.2 Thermal Shock

22.4 Geometrical Testing. 22.4.1 Introduction

22.4.2 Focal Length and Cardinal Point Determination

22.4.3 Measurement of Distortion

22.4.4 Measurement of Angles and Displacements. 22.4.4.1 General

22.4.4.2 Calibration

22.4.4.3 Co-ordinate Measurement Machines

22.5 Image Quality Testing. 22.5.1 Introduction

22.5.2 Direct Measurement of Image Quality

22.5.3 Interferometry

22.6 Radiometric Tests. 22.6.1 Introduction

22.6.2 Detector Characterisation. 22.6.2.1 General

22.6.2.2 Pixelated Detector Flat Fielding

22.6.3 Measurement of Spectral Irradiance and Radiance

22.6.4 Characterisation of Spectrally Dependent Flux

22.6.5 Straylight and Low Light Levels

22.6.6 Polarisation Measurements

22.7 Material and Component Testing. 22.7.1 Introduction

22.7.2 Material Properties. 22.7.2.1 Measurement of Refractive Index

22.7.2.2 Bubbles and Inclusions

22.7.3 Surface Properties. 22.7.3.1 Measurement of Surface Roughness

22.7.3.2 Measurement of Cosmetic Surface Quality

Further Reading

Index

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Отрывок из книги

Stephen Rolt

University of Durham

.....

As both object and image space are in the same media, there is a common focal length, f, i.e. f1 = f2 = f. All relevant parameters are calculated from the above matrix using the formulae tabulated in Section 1.6.2.

The focal length, f, is given by:

.....

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