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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 16 — Aug. 8, 2005
  • pp: 5925–5938

Spherical object in radiation field from Gaussian source

Stanislaw Tryka  »View Author Affiliations

Optics Express, Vol. 13, Issue 16, pp. 5925-5938 (2005)

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An analytical formula is derived for calculating the flux of radiation from a Gaussian source irradiating a spherical object. The formula was derived for the radiant intensity function represented by a paraxial approximate solution of the Halmholtz scalar wave equation. All calculations are presented in the Cartesian 0xyz coordinate system, where the coordinates, x, y and z, determine the center of the spherical object. The center of the source was located at the point P(0,0,0) in the plane z = 0. Some computer simulation results were illustrated graphically and analyzed.

© 2005 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(120.5240) Instrumentation, measurement, and metrology : Photometry
(120.5630) Instrumentation, measurement, and metrology : Radiometry
(140.3570) Lasers and laser optics : Lasers, single-mode
(230.6080) Optical devices : Sources
(350.5500) Other areas of optics : Propagation
(350.5610) Other areas of optics : Radiation

ToC Category:
Research Papers

Original Manuscript: March 23, 2005
Revised Manuscript: July 19, 2005
Published: August 8, 2005

Stanislaw Tryka, "Spherical object in radiation field from Gaussian source," Opt. Express 13, 5925-5938 (2005)

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  1. X. Deng, Y. Li, D. Fan and Y Qiu, �??Propagation of paraxial circular symmetric beams in a general optical system,�?? Opt. Commun. 140, 226-230 (1997). [CrossRef]
  2. F. Gori, Flattened Gaussian beams,�?? Opt. Commun. 107, 335-341 (1994). [CrossRef]
  3. L. Zeni, S. Campopiano, A. Cutolo and G. D�??Angelo, �??Power semiconductor laser diode characterization,�?? Opt. Lasers Eng. 39, 203-217 (2003). [CrossRef]
  4. L.D. Dickson, �??Characteristics of propagating Gaussian beam,�?? Appl. Opt. 9, 1854 (1970). [CrossRef] [PubMed]
  5. C. Hu and T.N. Baker, �??Prediction of laser transformation hardening depth using a line source model.�?? Acta Metal. Mater. 43, 3563-3569 (1995). [CrossRef]
  6. K. Shinozaki, C. Xu, H. Sasaki and T. Kamijoh, �??A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,�?? Opt. Commun. 133, 300-304 (1997). [CrossRef]
  7. M.R. Taghizadeh, P. Blair, K. Ballüder, N.J. Waddie, P. Rudman and N. Ross, �??Design and fabrication of diffractive elements for laser material processing applications,�?? Opt. Lasers Eng. 34, 289-307 (2000). [CrossRef]
  8. G. Grynberg and C Robilliard, �??Cold atom in dissipative optical lattices,�?? Phys. Rep. 355, 335-451 (2001). [CrossRef]
  9. R.C. Gauthier, �??Optical trapping: a tool to assist optical machining,�?? Opt. Laser Technol. 29, 389-399 (1997). [CrossRef]
  10. C.S. Adams and E. Riis, �??Laser cooling and trapping of neutral atoms,�?? Prog. Quantum Electron. 21, 1-79 (1997). [CrossRef]
  11. Y.P. Han, L. Méès, K.F. Ren, G. Gouesbet, S.Z. Wu and G. Gréhan, �??Scattering of light by spheroids: the far field case,�?? Opt. Commun. 210, 1-9 (2002). [CrossRef]
  12. A.R. Jones, �??Light scattering for particle characterization,�?? Prog. Energy Combust. Sci., 25, 1-53 (1999). [CrossRef]
  13. C. Sasse, K. Muinonen, J. Piironen, and G. Dröse, �??Albedo measurements on single particles,�?? J. Quantum Spectrosc. Radiat. Transfer 55, 673-681 (1996). [CrossRef]
  14. 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 Eng. 60, 31-39 (2003). [CrossRef]
  15. J.F. Diehl, �??Food irradiation-past, present and future,�?? Radiat. Phys. Chem. 63, 211-215 (2002). [CrossRef]
  16. G. W. Gould, �??Potential of irradiation as a component of mild combination preservation procedures,�??Radiat. Phys. Chem. 48, 366 (1996). [CrossRef]
  17. S.R. Govil, D.C. Agrawal, K.P. Rai and S.N. Thakur, �??Growth responses of Vigna radiata seeds to laser irradiation in the UV-A region,�?? Phys. Plantarum 63, 133-134 (1985). [CrossRef]
  18. W.H.A. Wilde, W.H. Parr and D.W. McPeak, �??Seeds bask in laser light,�?? Laser Focus 5, 41-42 (1969).
  19. F Grum and R.J. Becherer, Radiometry (Academic Press, New York, 1979) p. 37.
  20. M. Strojnik and G Paez, �??Radiometry�?? in Handbook of Optical Engineering, D. Malacara and B. J. Thompson eds. (Marcel Dekker, New York, 2001) 649-699.
  21. J.R. Meyer-Arendt, �??Radiomatry and photometry: units and conversion factors,�?? Appl. Opt. 7, 2081-2084 (1968). [CrossRef] [PubMed]
  22. S. Tryka, �??Spherical object in radiation field from a point source,�?? Opt. Express 12, 512 (2004). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-3-512">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-3-512</a> [CrossRef] [PubMed]
  23. H. Kogelnik and T. Li, �??Laser beams and resonators,�?? Appl. Opt. 5, 1550-1567 (1966). [CrossRef] [PubMed]
  24. S. Liu, H. Guo, M. Liu and G. Wu, �??A comparison of propagation characteristics of focused Gaussian beam and fundamental Gaussian beam in vacuum,�?? Phys. Lett. A, 327, 254-262 (2004). [CrossRef]
  25. E.J. Rethwell and M.J. Cloud, Electromagnetics, (CRC, Boca Raton, 2001) Chap. IV, 6-51.
  26. S. Wolfram, Mathematica-A System for Doing Mathematics by Computer (Addison-Wesley, Reading, Mass. 1993), 44-186.
  27. R.P. Gardner and K. Verghese, �??On the solid angle subtended by a circular disc,�?? Nucl. Instrum. Methods, 93, 163-167 (1971). [CrossRef]
  28. J.H. Habbell, R.L. Bach and R.J. Herbold, �??Radiation field from a circular disk source,�?? J. Res. Natl. Bur. Stand. 65C, 249-264 (1961).

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