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    https://www.researchgate.net/publication/286418455

    Introduction to Radiometry 

    and Photometry, 2nd Edition

    BOOK · DECEMBER 2014

    CITATIONS

    4

    READS

    7

    1 AUTHOR:

    William Mccluney

    University of Central Florida

    19 PUBLICATIONS  508

    CITATIONS 

    SEE PROFILE

    Available from: William Mccluney

    Retrieved on: 26 February 2016

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    Introduction to Radiometry and Photometry

    Second Edition

    William Ross McCluney

    ARTECH

    HOUSE

    BOSTON LONDON

    a rte c h house corn

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    Library of Congress C ataloging-in-Publication Data

    A catalog record for this book is available from the U .S. Library of Congress.

    British L ibrary Cataloguing in Pub lication 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

    m ay be reproduced o r utilized in any form or by any m eans, electronic or mechanical, including

    photocopying, recording, or by any information storage and retrieval system, without p ermission

    in writing from the publisher.

    All terms m entioned in this book that are know n to be tradem arks or service marks hav e been

    appropriately capitalized. A rtech Hou se cannot attest to the accuracy of this information. U se of

    a term in this book shou ld not be regarded as affecting the validity of any trademark or service

    mark.

    1 987654321

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    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

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    Vi

    Introduction to Radiometry and Photometry

    2

    Fundamental Concepts of Photometry

    39

    2.1

    Light

    39

    2.2 Photom etric Definitions 43

    2.2.1

    Radiation Luminous Efficacy,

    K

    and the V-lam bda

    Function

    47

    -

    2.2.2

    Lighting System Lum inous Efficacy,

    K

    50

    2.3

    Lum inance and Brightness

    51

    2.4

    Lum inance and Vision

    54

    2.5

    Disability G lare

    57

    2.6

    Discomfort G lare

    59

    2.7

    Illumination

    60

    2.7.1

    Illuminance Selection

    62

    End N otes

    68

    3

    lackbodies and Other Sources

    1

    3.1

    lackbody R adiation

    1

    3.2

    lanck's Law

    3

    3.3

    ien Displacem ent Law

    7

    3.4

    um inous Efficacy of Blackbody Radiation

    8

    3.5

    olor and D istribution Tem peratures

    9

    3.6

    m ission Into an Im perfect Vacuum

    1

    3.7

    adiation Exchange

    1

    3.8

    xperimental Approxim ation of a Blackbody

    2

    3.9

    ther Real Sources

    3

    End N otes

    10

    6

    4

    ource/Receiver Flux Transfer Calculations

    9

    4.1

    ntroduction

    9

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    Conten ts

    II

    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 Exch ange 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

    Rad iance 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

    Rad iance Through a Lens

    134

    5.8

    Rad iance in Absorbing and Scattering Media

    135

    5.9

    Concentrating Radiance Meter

    136

    5.10 Th e Limits of Optical Concentration

    141

    End N otes

    145

    6

    Optical Prop

    ertiesof Materials

    147

    6.1 Introduction

    147

    6.2

    Terminology

    148

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    VIII

    Introduction to Radiometry and Photometry

    6.3

    urface and Interface O ptical Properties

    6.3.1

    onductor O ptical Properties

    6.3.2

    onconductor Optical Properties

    6.3.3

    urface Emission Properties

    6.3.4

    ngular Depend ence of D ielectric O ptical Properties

    6.3.5

    ough Surfaces

    6.4

    ulk Medium Optical Properties

    6.5

    roperties of Plane Parallel Plates

    6.5.1

    onscattering Media

    6.5.2

    cattering Media

    6.6

    ngular Dependence

    6.7

    roadband A ngle Properties

    6.7.1

    ransmittance and Reflectance Equations

    6.7.2

    pecular and Diffuse Optical Properties

    6.8

    pectral Dependence

    6 9

    roadband Spectral Properties

    6.10

    pectral Selectivity

    End N otes

    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 T ransfer Devices,

    and Im agers

    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

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    Contents x

    7.6.2

    Quantum Efficiency,

    7

    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 Cond itioning A ffer the Detector

    249

    7.9

    Detector C alibration

    249

    7.10

    Ex am ple Detectors and Th eir Characteristics

    251

    End N otes

    259

    8 Optical Systems

    63

    8.1 Introduction

    263

    8.2

    Optical Axis 264

    8.3

    Idealized (Thin) Lens Th eory

    265

    8.4

    Radiance and Irradiance of Im ages

    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

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    x

    ntroduction 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 M onochromators

    304

    8.13

    Windows

    310

    8.14

    Sources

    311

    8.15

    Goniometers

    312

    8.16

    Transmissometers/Reflectometers

    313

    8.17

    Scattering M eters, Neph elometers, Turbidimeters,

    and H aze 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 R adiance Meters

    329

    9.4

    Restricted Spectral Band Irradiance Meters for the

    Ultraviolet through the Infrared

    333

    9.5

    Illum inance and Luminance Meters

    333

    9.6

    Spectro radiometers

    334

    9.7

    Calibration of Radiom eters 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 Illum inance and Luminance Sources

    351

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    Conten ts i

    9.7.6

    adiometer/Photometer Calibration Using

    Standard Sources

    51

    9.7.7

    pectroradiometer Calibration

    52

    9.7.8

    ational Standards Laboratories and Other, Labs

    and Instrument Organizations

    53

    End Notes

    55

    10 etric Primer and Additional Radiometric and

    Photometric Quantities and Units

    59

    10.1 Introduction

    359

    10.2 The S I System of Units

    360

    10.2.1

    Basic M etric Principles

    360

    10.2.2 Metric Units for Radiom etry and Photom etry

    363

    10.3

    The I-P System of U nits

    364

    10.4

    Photon Flux U nits

    364

    10.5

    Other Quantities and Units

    365

    End Notes

    368

    11 irtual 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 Program s

    374

    11.4 Com puterized Optical Ray T racing M ethodology

    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 D efinitions

    394

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    xii

    ntroduction to Radiometry and Photometry

    12.3

    System s 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

    Tristimu lus Colorimetry

    402

    12.4

    CIE 1931 C olor System

    404

    12.5

    CIE 1964 Supplem entary Observer Color System

    409

    12.6

    CIE 1976 U niform Color Space

    411

    12.7

    Color Tem perature

    414

    12.8

    Standard Illuminants and Reflection Colorimetry 415

    12.8.1

    Blackbody Illum inants

    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 N otes

    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 Sum s

    436

    A.5

    Sum s over Solid A ngles

    437

    End N otes

    441

    Appendix B

    Table of Physical and Mathematical Constants

    443

    About the Author

    445

    Index

    447

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    Introduction

    Radiometry is a system of language, mathematics, and instrumentation

    used to describe and m easure the propagation of electrom agnetic radiation,

    including the effects on that radiation of reflection, refraction, absorption,

    transmission, and scattering by material substances in their solid, liquid, and

    gaseous phases.

    Photom etry is a system used for the same purpose when the radiation

    is to be detected by the hum an eye, so it applies to a more restricted portion

    of the electromagnetic spectrum.

    Having the languages of radiom etry and ph otometry helps make the

    definitions and exp lanations of various descriptive quantities precise and

    meaningful.

    Evolution of the subject and the units used.

    Radiom etry and photometry

    have evolved considerably over the long history of civilization's developm ent 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, m any 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 thum bs. 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