The relative merits of four methods—energy balance, summation of reflections, inversion of the irradiance-transfer matrix, and solution of the integral equation—are compared by using each to determine irradiance in a multizone true sphere and in a sphere with a flat port; in the process several new solutions are presented. Although limited in applicability, the energy-balance method is by far the most direct. For the flat-port configuration the relationships among various published expressions are established; furthermore, the curved-surface interreflection irradiance is shown to be nonuniform when the initial irradiance is restricted to a part of the curved surface.
© 1998 Optical Society of America
(120.3150) Instrumentation, measurement, and metrology : Integrating spheres
(120.3930) Instrumentation, measurement, and metrology : Metrological instrumentation
(120.5700) Instrumentation, measurement, and metrology : Reflection
John F. Clare, "Comparison of four analytic methods for the calculation of irradiance in integrating spheres," J. Opt. Soc. Am. A 15, 3086-3096 (1998)