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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 3 — Feb. 9, 2004
  • pp: 512–517

Spherical object in radiation field from a point source

Stanislaw Tryka  »View Author Affiliations

Optics Express, Vol. 12, Issue 3, pp. 512-517 (2004)

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A general formula for calculating radiative fluxes from point sources of radiation incident on spherical objects was derived using some fundamental laws of classical radiometry. This formula was derived in the Cartesian coordinate system, 0xyz, where the coordinates, x, y, and z, determine the position of the spherical object with respect to the point source. The obtained solution was dependent on the radius of the object, and on the function describing the intensity of the radiation. A specific solution for calculating fluxes of isotropic radiations was presented and selected calculations were illustrated graphically.

© 2004 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5240) Instrumentation, measurement, and metrology : Photometry
(120.5630) Instrumentation, measurement, and metrology : Radiometry

ToC Category:
Research Papers

Original Manuscript: December 17, 2003
Revised Manuscript: February 2, 2004
Published: February 9, 2004

Stanislaw Tryka, "Spherical object in radiation field from a point source," Opt. Express 12, 512-517 (2004)

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  1. G. Brescia, R. Moreira, L. Braby and E. Castell-Perez, �??Monte Carlo simulation and dose distribution of low energy electron irradiation of an apple,�?? J. Food Engin. 60, 31-39 (2003). [CrossRef]
  2. C. Sasse, K. Muinonen, J. Piironen, and G. Dröse, �??Albedo measurements on single particles,�?? J. Quant. Spectrosc. Radiat. Transfer 55, 673-681 (1996). [CrossRef]
  3. R. Sommer, A. Cabaj, T. Sandu, and M. Lhotsky, �??Measurments of UV radiation using suspension of microorganisms,�?? J. Photochem. Photobiol. B 53, 1-6 (1999). [CrossRef]
  4. J.F. Diehl, �??Food irradiation-past, present and future,�?? Radiat. Phys. Chem. 63, 211-215 (2002). [CrossRef]
  5. R. W. Durante, �??Food processors requirements met by radiation processing,�?? Radiat. Phys. Chem. 63, 289-294 (2002). [CrossRef]
  6. G. W. Gould, �??Potential of irradiation as a component of mild combination preservation procedures,�?? Radiat. Phys. Chem. 48, 366 (1996). [CrossRef]
  7. C. M. Bruhn, �??Consumer acceptance of irradiated food: theory and reality,�?? Radiat. Phys. Chem. 52, 129-133 (1998). [CrossRef]
  8. M. Strojnik and G Paez, �??Radiometry,�?? in Handbook of Optical Engineering, D. Malacara and B. J. Thompson eds., (Marcel Dekker, New York, 2001), pp. 649-699.
  9. J. Tallarida, Pocket Book of Integrals and Mathematical Formulas, (CRC, Boca Raton, 1999), Chpt. 4. [CrossRef]
  10. S. Wolfram, Mathematica-A System for Doing Mathematics by Computer (Addison-Wesley, Reading, Mass. 1993), pp. 44-186.

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