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GeomOpt_Part5 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering ECSE 527 Optical Engineering Radiometry References: Smith, Modern Optical Engineering , Chapter 8 D.O’Shea, Elements of Modern Optical Design , D.O Shea, , Chapter 3 Andrew Kirk 2009 Radiometry-1
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Radiometry ©AGK 2009 Radiometry-2
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Radiometry Optical systems perform two operations: transfer of object structure (imaging) – transfer of object power (radiometry) transfer of object power (radiometry) Power transfer determines visibility, detector performance etc. Sometime we only need power transfer e.g. searchlight, projector lamps How do we calculate power emitted from object and transferred through an optical system ? ©AGK 2009 Radiometry-3
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Example: Surface inspection problem Diffuse (70% reflecting) surface Lens (80% transmission) Aperture: 4 cm 2 200 cm Area: 1 cm 2 Detector 100 cm 60° 100 cm Lambertian source 115 cm diameter 10 W ster -1 cm -2 ©AGK 2009 Radiometry-4 Question: How much total power is received at the detector ?
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Learning outcomes After taking this section you will be able to: Define radiant intensity and irradiance Calculate the radiant intensity and irradiance of a point source Explain what is meant by a Lambertian source Determine when to treat emitters and surfaces as Lambertian surfaces Calculate the emission of a Lambertian surface Calculate power transfer through an optical system ©AGK 2009 Radiometry-5
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Contents Definition of radiometric units Point sources Lambertian emitters P t f th h ti l t Power transfer through an optical system Constant brightness theorem ©AGK 2009 Radiometry-6
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Power and radiant intensity Power P : Rate of radiation of energy [W] Power from a point source fills a sphere of Radiant intensity J : Power radiated into a solid 4 π steradians Radiant Power radiated into a solid angle [W ster -1 ] J = P /4 π W ster - 1 ©AGK 2009 Radiometry-7
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