TECHNICAL GUIDE Integrating Sphere Radiometry and Photometry
[email protected] www.labsphere.com Integrating Sphere Radiometry and Photometry TABLE OF CONTENTS 1.0 Introduction to Sphere Measurements 1 2.0 Terms and Units 2 3.0 The Science of the Integrating Sphere 3 3.1 Integrating Sphere Theory 3 3.2 Radiation Exchange within a Spherical Enclosure 3 3.3 The Integrating Sphere Radiance Equation 4 3.4 The Sphere Multiplier 5 3.5 The Average Reflectance 5 3.6 Spatial Integration 5 3.7 Temporal Response of an Integrating Sphere 6 4.0 Integrating Sphere Design 7 4.1 Integrating Sphere Diameter 7 4.2 Integrating Sphere Coatings 7 4.3 Available Sphere Coatings 8 4.4 Flux on the Detector 9 4.5 Fiberoptic Coupling 9 4.6 Integrating Sphere Baffles 10 4.7 Geometric Considerations of Sphere Design 10 4.8 Detectors 11 4.9 Detector Field-of-View 12 5.0 Calibrations 12 5.1 Sphere Detector Combination 12 5.2 Source Based Calibrations 12 5.3 Frequency of Calibration 12 5.4 Wavelength Considerations in Calibration 13 5.5 Calibration Considerations in the Design 13 6.0 Sphere-based Radiometer/Photometer Applications 14 7.0 Lamp Measurement Photometry and Radiometry 16 7.1 Light Detection 17 7.2 Measurement Equations 18 7.3 Electrical Considerations 19 7.4 Standards 19 7.5 Sources of Error 20 APPENDICES Appendix A Comparative Properties of Sphere Coatings 22 Appendix B Lamp Standards Screening Procedure 23 Appendix C References and Recommended Reading 24 © 2017 Labsphere, Inc. All Rights Reserved Integrating Sphere Radiometry and Photometry 1.0 INTRODUCTION TO SPHERE Photometers incorporate detector assemblies filtered to MEASUREMENTS approximate the response of the human eye, as exhibited by the CIE luminous efficiency function.