NIST MEASUREMENT SERVICES: Spectral Reflectance
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NIST Measurement Services: NATL INST. OF STAND & TECH R.I.C. M!ST REFERENCE FUBUCATIONSlj AlllDS M7blb7 Spectral Reflectance NIST Special Publication 250-48 P. Yvonne Barnes Edward A. Early Albert C. Parr Optical Properties of Materials: Bidirectional Reflectance Distribution Function Directional - Hemispherical Reflectance Factor Reflectance Standards: First Surface Mirrors Tiles and Polished Glasses Diffusers and Pressed Powders Wavelength Standards: Rare-Earth Mixture U.S. Department of Commerce QC Technology Administration National Institute of Standards and Technology jl OQ U57 0.250-48 998 rhe National Institute of Standards and Technology was established in 1988 by Congress to "assist industry in the development of technology . needed to improve product quality, to modernize manufacturing processes, to ensure product reliability . and to facilitate rapid commercialization ... of products based on new scientific discoveries." 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NIST MEASUREMENT SERVICES: Spectral Reflectance p. Yvonne Barnes Edward A. Early Albert C. Parr Optical Technology Division Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899-0001 March 1998 U.S. DEPARTMENT OF COMMERCE William M. Daley, Secretary Technology Administration Gary R. Bachula, Acting Under Secretary for Technology National Institute of Standards and Technology Raymond G. Kammer, Director / National Institute of Standards and Technology Special Publication 250-48 Natl. Inst. Stand. Techno!. Spec. Publ. 250-48, 153 pages (Mar. 1998) CODEN: NSPUE2 U.S. GOVERNMENT PRINTING OFFICE WASHINGTON: 1998 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC 20402-9325 PREFACE The calibration and related measurement services of the National Institute of Standards and Technology are intended to assist the makers and users of precision measuring instruments in achieving the highest possible levels of accuracy, quality, and productivity. NIST offers over 300 different calibrations, special tests, and measurement assurance services. These services allow customers to directly link their measurement systems to measurement systems and standards maintained by NIST. These services are offered to the public and private organizations alike. They are described in NIST Special Publication (SP) 250, NIST Calibration Services Users Guide. The Users Guide is supplemented by a number of Special Publications (designated as the "SP250 Series") that provide detailed descriptions of the important features of specific NIST calibration services. These documents provide a description of the: (1) specifications for the services; (2) design philosophy and theory; (3) NIST measurement services; (4) NIST operational procedures; (5) assessment of the measurement uncertainty including random and systematic errors and an error budget; and (6) internal quality control procedures used by NIST. These documents will present more detail than can be given in NIST calibration reports, or than is generally allowed in articles in scientific journals. In the past, NIST has published such information in a variety of ways. This series will make this type of information more readily available to the user. This document, SP250-48 (1998), NIST Measurement Services: Spectral Reflectance, is a revision of SP250-8 (1987). It describes the instrumentation, standards, and techniques used to measure spectral reflectance over the ultraviolet, visible, and near infrared wavelengths for Standard Reference Materials 2003, 2011, 2015, 2016, 2023, 2026, and 2044 and for Special Test 38060S. Inquiries concerning the technical content of this document or the specifications for these services should be directed to the authors or to one of the technical contacts cited in SP250. NIST welcomes suggestions on how publications such as this might be made more useful. Suggestions are also welcome concerning the need for new calibration services, special tests, and measurement assurance programs. Peter L.M. Heydemann Katharine B. Gebbie Director Director Measurement Services Physics Laboratory iii ABSTRACT This document describes the instrumentation, standards, and techniques used at the National Institute of Standards and Technology to measure spectral reflectance over the ultraviolet, visible, and near infrared wavelength ranges. The organization is as follows. Part I describes the motivation for maintaining reference and transfer spectrophotometers for spectral reflectance measurements, the basics of reflection, and the standards and services that are available from NIST. Part II develops the necessary theory of reflection, beginning with basic definitions and equations and ending with the relevant measurement equations for the experiments described in this documentation. The NIST Spectral Tri-function Automated Reference Reflectometer is described in Part III. This instrument provides the basis for the development of absolute NIST standards of diffuse and specular reflectance. Part IV describes the NIST transfer spectrophotometers, high precision commercial instruments used for calibrating Standard Reference Materials such as diffuse reflectance and specular reflectance standards. The transfer instruments rely on master standards that are periodically calibrated on the high accuracy reference reflectometer described in Part III. References containing details are reproduced in the appendices. Key words: bidirectional; diffuse reflectance; reflectance; spectrophotometer; spectrophotometry; spectral reflectance, specular reflectance iv TABLE OF CONTENTS Abstract iv 1. Introduction 1 2. Theory 4 2.1 Basic Definitions and Equations 4 2.2 Measurement Equations 8 2.2.1 Bidirectional Reflectance Distribution Function 8 2.2.2 Directional - Hemispherical Reflectance 10 3. Reference Instrument - STARR 12 3.1 Description 12 3.1.1 Basic Instrument 12 3.1.2 Source System 14 3.1.3 Goniometer 16 3.1.4 Integrating Spheres 18 3.2 Calibration 20 3.2.1 Source System 20 3.2.2 Goniometer 21 3.2.3 Integrating Spheres 22 3.2.4 Detectors 22 3.3 Operation 22 3.3.1 Source System 23 3.3.2 Bidirectional Reflectance 23 3.3.3 Directional - Hemispherical Reflectance 28 3.4 Uncertainties 30 3.4.1 Introduction 30 3.4.2 Bidirectional Reflectance 31 3.4.3 Directional - Hemispherical Reflectance 37 4. Transfer Instruments - Spectrophotometers 40 4.1 Description 40 4.2 Calibration 42 4.3 Operation 44 4.4 Uncertainties 45 Acknowledgments 46 References 47 V Appendix A: Sample Report of Test for Bidirectional Reflectance