1996
DOI: 10.1364/ao.35.005880
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Computer modeling of integrating spheres

Abstract: I present a Monte Carlo model for predicting the performance of integrating spheres as a function of incident flux direction. The model was developed specifically to aid in the design of integrating spheres used as cosine collectors but is of general applicability. I discuss a method of generating uncorrelated random numbers. The probability density functions associated with uniform irradiance over a circular entrance port and Lambertian reflectors or emitters are presented. A comparison of the model with anal… Show more

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Cited by 20 publications
(4 citation statements)
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“…As shown in Figure 1, the radius of the powersphere is R. The laser with a luminous flux of Φ is incident into the powersphere from the entrance hole and irradiates on the inner wall of the powersphere, with a direct irradiation area of S. The directly irradiated light is reflected by the inner wall and transmitted to the other inner walls of the powersphere. The laser finally forms a uniform distribution after multiple reflections on the inner wall [15][16][17][18]. Assuming the small surface element of any point in the direct irradiation area S is dA, and the luminous flux irradiated on the surface element is dΦ, then the illumination EA at point A is:…”
Section: Basic Principle Of Powerspherementioning
confidence: 99%
“…As shown in Figure 1, the radius of the powersphere is R. The laser with a luminous flux of Φ is incident into the powersphere from the entrance hole and irradiates on the inner wall of the powersphere, with a direct irradiation area of S. The directly irradiated light is reflected by the inner wall and transmitted to the other inner walls of the powersphere. The laser finally forms a uniform distribution after multiple reflections on the inner wall [15][16][17][18]. Assuming the small surface element of any point in the direct irradiation area S is dA, and the luminous flux irradiated on the surface element is dΦ, then the illumination EA at point A is:…”
Section: Basic Principle Of Powerspherementioning
confidence: 99%
“…An extensive area for MCM application is the modelling of integrating spheres: for reflectivity and transmittance measurements [18], for use as a calibrated diffuser [19], for flux comparison of various sources of radiation [20], for building large-aperture uniform sources, etc. Numerical modelling of integrating spheres becomes even more important in the realization of the lumen based on a black-body source and a spherical integrator of the luminous flux [21].…”
Section: Integrating Spheresmentioning
confidence: 99%
“…The common disadvantages of these methods are well known: their applicability to only Lambertian surfaces and the growth of computational difficulties with the sophistication of system geometry. In the last decades, very important results in computer modeling of integrating sphere have been obtained with the help of the Monte Carlo method [7][8][9][10][11][12][13] The foundation of this technique is the probabilistic treatment of radiation-matter interactions. This approach allows construction of a stochastic model of the system being modeled and an assessment of its parameters with a large number of ray tracing implementations.…”
Section: Introductionmentioning
confidence: 99%