introduction to radiometry and photometry, second edition 2014

11
Introduction to Radiometry and Photometry Second Edition William Ross McCluney ARTECH HOUSE BOSTON LONDON a rte c h house. corn

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Introduction to Radiometry and Photometry

Second Edition

William Ross McCluney

ARTECH

HOUSE BOSTON LONDON

a rte c h house. corn

Library of Congress Cataloging-in-Publication Data A catalog record for this book is available from the U.S. Library of Congress.

British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library.

Cover design by John Gomes

ISBN 13: 978-1-60807-833-2

© 2014 ARTECH HOUSE 685 Canton Street Norwood, MA 02062

All rights reserved. Printed and bound in the United States of America. No part of this book may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the publisher.

All terms mentioned in this book that are known to be trademarks or service marks have been appropriately capitalized. Artech House cannot attest to the accuracy of this information. Use of a term in this book should not be regarded as affecting the validity of any trademark or service mark.

10987654321

Contents

Introduction xiii

End Notes xviii

Acknowledgments xxi

1 Fundamental Concepts of Radiometry 1

1.1 Electromagnetic Radiation 1

1.2 Terminology Conventions 4

1.3 Wavelength Notations and Solid Angle 4

1.4 Fundamental Definitions 7

1.5 Lambertian Radiators and Lambert's Cosine Jaw 13

1.6 Radiance, Irradiance, Intensity, and Flux Relationships 16

1.7 Connection with Electromagnetic Theory 20

1.8 Polarization 22

1.9 Photon Flux 25

1.10 Radiometric Information 28

End Notes 36

V

Vi Introduction to Radiometry and Photometry

2 Fundamental Concepts of Photometry 39

2.1 Light 39

2.2 Photometric Definitions 43

2.2.1 Radiation Luminous Efficacy, K and the V-lambda

Function 47-

2.2.2 Lighting System Luminous Efficacy, K 50

2.3 Luminance and Brightness 51

2.4 Luminance and Vision 54

2.5 Disability Glare 57

2.6 Discomfort Glare 59

2.7 Illumination 60

2.7.1 Illuminance Selection 62

End Notes 68

3

Blackbodies and Other Sources 11

3.1

Blackbody Radiation 71

3.2

Planck's Law 73

3.3

Wien Displacement Law 77

3.4

Luminous Efficacy of Blackbody Radiation 78

3.5

Color and Distribution Temperatures

79

3.6

Emission Into an Imperfect Vacuum 81

3.7

Radiation Exchange 81

3.8

Experimental Approximation of a Blackbody 82

3.9

Other Real Sources 83

End Notes .10

96

4

Source/Receiver Flux Transfer Calculations

99

4.1

Introduction 99

Contents VII

4.2 Geometry and Definitions 100

4.2.1 Case 1 102 4.2.2 Case 2 104 4.2.3 Case 3 104 4.2.4 Case 4 105 4.2.5 Case 5 108 4.2.6 Case 6 109 4.2.7 Case 110

4.3 Configuration Factor 111

4.4 Net Exchange of Radiation 113

4.5 Summary 114

End Notes 125

5 The Invariance of Radiance and the Limits of Optical Concentration 127

5.1 Introduction 127

5.2 Radiance Is a Field Quantity 128

5.3 Pencils of Rays 128

5.4 Elementary Beam Of Radiation 129

5.5 Radiance Invariance 131

5.6 Radiance Invariance at an Interface 132

5.7 Radiance Through a Lens 134

5.8 Radiance in Absorbing and Scattering Media 135

5.9 Concentrating Radiance Meter 136

5.10 The Limits of Optical Concentration 141

End Notes 145

6 Optical Prop ertiesof Materials 147

6.1 Introduction 147

6.2 Terminology 148

VIII Introduction to Radiometry and Photometry

6.3 Surface and Interface Optical Properties

6.3.1 Conductor Optical Properties 6.3.2 Nonconductor Optical Properties 6.3.3 Surface Emission Properties

6.3.4 Angular Dependence of Dielectric Optical Properties

6.3.5 Rough Surfaces

6.4 Bulk Medium Optical Properties

6.5 Properties of Plane Parallel Plates

6.5.1 Nonscattering Media 6.5.2 Scattering Media

6.6 Angular Dependence

6.7 Broadband Angle Properties

6.7.1 Transmittance and Reflectance Equations

6.7.2 Specular and Diffuse Optical Properties

6.8 Spectral Dependence

6.9 Broadband Spectral Properties

6.10 Spectral Selectivity

End Notes

1 The Detection of Radiation 201

7.1 Introduction 201

7.2 Basic Concepts 202

7.3 Classification of Detectors 208

7.3.1 Thermal Detectors 208

7.3.2 Photemissive Detectors 213

7.3.3 Semiconductor Devices 218

7.3.4 Multielement Detectors, Charge Transfer Devices, and Imagers 227

7.4 Detector Noise 231

7.5 Signal Modulation and Radiation Chopping 234

7.6 Characterization of Detector Performance 237

7.6.1 Responsivity, R 238

Contents

ix

7.6.2 Quantum Efficiency, 71 238 7.6.3 Noise Equivalent Power, NEP 239 7.6.4 Detectivity, D 240 7.6.5 Photon Noise-Limited Performance 240

7.7 Flux Conditoning Prior to the Detector 242

7.7.1 Cosine Response Correction 242 7.7.2 Photopic Correction 245 7.7.3 Spectral Filtering 246

7.8 Signal Conditioning Affer the Detector 249

7.9 Detector Calibration 249

7.10 Example Detectors and Their Characteristics 251

End Notes 259

8 Optical Systems 263

8.1 Introduction 263

8.2 Optical Axis 264

8.3 Idealized (Thin) Lens Theory 265

8.4 Radiance and Irradiance of Images 270

8.5 Vignetting 273

8.6 Aberrations 273

8.6.1 Spherical Aberration 273 8.6.2 Chromatic Aberration 276 8.6.3 Distortion 277 8.6.4 Coma 277 8.6.5 Astigmatism 278 8.6.6 Field Curvature 279 8.6.7 Correctiug Aberrations 280 8.6.8 The Diffraction Limit 280

8.7 Image Quality 282

8.8 Flux Distribution 283

8.9 Nonimaging Optical Systems 285

x Introduction to Radiometry and Photometry

8.10 Throughput 287

8.11 Integrating Spheres 289

8.11.1 Cosine Correction 292

8.11.2 Transmissometers and Reflectometers 293

8.12 Monochromators 297

8.12.1 Spectral Filters 297

8.12.2 Scanning Monochromators 304

8.13 Windows 310

8.14 Sources 311

8.15 Goniometers 312

8.16 Transmissometers/Reflectometers 313

8.17 Scattering Meters, Nephelometers, Turbidimeters, and Haze Meters 313

End Notes 320

9 Radiometers and Photometers 325

9.1 Introduction 325

9.2 General Design Factors 327

9.3 Broadband Irradiance and Radiance Meters 329

9.4 Restricted Spectral Band Irradiance Meters for the Ultraviolet through the Infrared 333

9.5 Illuminance and Luminance Meters 333

9.6 Spectro radiometers 334

9.7 Calibration of Radiometers and Photometers 338

9.7.1 Transfer Standards 340

9.7.2 Broadband Irradiance Standard Sources 343

9.7.3 Standard Sources for Spectral'Irradiance and Spectral Radiance 344

9.7.4 Absolute Radiometry 346

9.7.5 Standard Illuminance and Luminance Sources 351

Contents Xi

9.7.6 Radiometer/Photometer Calibration Using Standard Sources 351

9.7.7 Spectroradiometer Calibration 352 9.7.8 National Standards Laboratories and Other, Labs

and Instrument Organizations 353

End Notes 355

10 Metric Primer and Additional Radiometric and Photometric Quantities and Units 359

10.1 Introduction ' " 359

10.2 The SI System of Units 360

10.2.1 Basic Metric Principles 360 10.2.2 Metric Units for Radiometry and Photometry 363

10.3 The I-P System of Units 364

10.4 Photon Flux Units 364

10.5 Other Quantities and Units 365

End Notes 368

11 Virtual Measurement: Computerized Optical Ray Trace Analysis 371

11.1 Introduction 371

11.2 Ray Tracing in Radiometry and Photometry 374

11.3 Rays and Their Limitations in Ray Tracing Programs 374

11.4 Computerized Optical Ray Tracing Methodology 377

11.5 The Ray Tracing Process 378

11.6 Analysis of Results 383

End Notes 391

12 Basic Concepts of Colpr Science 393

12.1 Introduction 393

12.2 Basic Concepts And Definitions 394

xii Introduction to Radiometry and Photometry

12.3 Systems of Color Specification 399

12.3.1 Munsell Color System 400

12.3.2 CIE 1976 (L*a*b) Color Space 402

12.3.3 Tristimulus Colorimetry 402

12.4 CIE 1931 Color System 404

12.5 CIE 1964 Supplementary Observer Color System 409

12.6 CIE 1976 Uniform Color Space 411

12.7 Color Temperature 414

12.8 Standard Illuminants and Reflection Colorimetry 415

12.8.1 Blackbody Illuminants 417

12.8.2 Daylight Illuminants 419

12.8.3 Reflection Colorimetry 421

12.9 Color Rendering Index 422

12.10 Color Software 425

End Notes 427

Appendix A: Correspondence Between Finite

Elements and the Calculus 431

A. 1 Introduction 431

A.2 Definition of the Derivative 432

A.3 Definition of the Integral 434

A.4 Integrals As Sums 436

A.5 Sums over Solid Angles 437

End Notes 441

Appendix B Table of Physical and Mathematical Constants 443

About the Author 445

Index 447

Introduction Radiometry is a system of language, mathematics, and instrumentation used to describe and measure the propagation of electromagnetic radiation, including the effects on that radiation of reflection, refraction, absorption, transmission, and scattering by material substances in their solid, liquid, and gaseous phases.

Photometry is a system used for the same purpose when the radiation is to be detected by the human eye, so it applies to a more restricted portion of the electromagnetic spectrum.

Having the languages of radiometry and photometry helps make the definitions and explanations of various descriptive quantities precise and meaningful.

Evolution of the subject and the units used. Radiometry and photometry have evolved considerably over the long history of civilization's development of science and engineering. In the beginning, the terminology used was invented by early scientists attempting to make sense of the visible world around them. Thus, many of the early terms and units predated the more logical and consis-tent international systems of units and terminology used today, infusing the early development of this field with a possibly confusing set of names as well as units for the quantities presented in this book.

For example, the Anglo-Saxon period in England used the North German foot (335 mm or 12.2 inches in current units) as the basis unit of length and it was divided into 4 palms or 12 thumbs. A cubit was set to be 2 feet and an elne to 4 ft. The rod 05 Anglo-Saxon ft) was used for the measurement of larger distances, including the furlong (10 rods). An acre became 160 square rods and 36,000 Anglo-Saxon feet [1].

From the early English system of physical units there evolved what is currently known variously as the "inch-pound," "British imperial," and "U.S.

XIII