OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 3 — Mar. 1, 1983
  • pp: 303–312

Scattering of laser beams and the optical potential well for a homogeneous sphere

jin Seung Kim and Sang Soo Lee  »View Author Affiliations

JOSA, Vol. 73, Issue 3, pp. 303-312 (1983)

View Full Text Article

Acrobat PDF (1027 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A theory is developed for the scattering of a fundamental-mode laser beam by a homogeneous sphere located in the beam passage. The expression for the incident laser beam is obtained by using the complex-source-point method, and the light-field distributions inside and outside the sphere are given. The formulas for the energies scattered and absorbed by the sphere and for the radiation pressure exerted on the sphere are derived, and their qualitative features are discussed. Results of numerical calculation of the radiation pressure and their physical interpretations are presented. All the analytical formalism is generalized for immediate treatment of the scattering of higher-order Hermite–Gaussian-mode laser beams by a homogeneous sphere.

© 1983 Optical Society of America

jin Seung Kim and Sang Soo Lee, "Scattering of laser beams and the optical potential well for a homogeneous sphere," J. Opt. Soc. Am. 73, 303-312 (1983)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. L. W. Casperson, C. Yeh, and W. F. Yeung, "Single particle scattering with focused laser beams," Appl. Opt. 16, 1104–1107 (1977).
  2. G. Grehan and G. Gouesbet, "Optical levitation of a single particle to study the theory of the quasi-elastic scattering of light," Appl. Opt. 19, 2485–2487 (1980); A. Ashkin and J. M. Dziedzic, "Observation of light scattering from nonspherical particles using optical levitation," Appl. Opt. 19, 660–668 (1980).
  3. A. Ashkin and J. M. Dziedzic, "Observation of optical resonances of dielectric spheres by light scattering," Appl. Opt. 20, 1803–1814 (1981); T. R. Lattieri, W. D. Jenkins, and D. A. Swyt, "Sizing of individual optically levitated evaporating droplets by measurement of resonances in the polarization ratio," Appl. Opt. 20, 2799–2805 (1981).
  4. A. Ashkin, "Acceleration and trapping of particles by radiation pressure," Phys. Rev. Lett. 24, 156–159 (1970).
  5. J. S. Kim and S. S. Lee, "Radiation pressure on a dielectric sphere in a Gaussian laser beam," Opt. Acta 29, 801–806 (1982).
  6. A. Ashkin and J. M. Dziedzic, "Optical levitation by radiation pressure," Appl. Phys. Lett. 19, 283–285 (1971).
  7. A. Ashkin and J. M. Dziedzic, "Stability of optical levitation by radiation pressure," Appl. Phys. Lett. 24, 586–588 (1974).
  8. A. Ashkin and J. M. Dziedzic, "Feedback stabilization of optically levitated particles," Appl. Phys. Lett. 30, 202–204 (1977).
  9. A. Ashkin and J. M. Dziedzic, "Observation of resonances in the radiation pressure on dielectric spheres," Phys. Rev. Lett. 23, 1351–1354 (1977).
  10. G. Roosen and C. Imbert, "Optical levitation by means of two horizontial laser beams: a theoretical and experimental study," Phys. Lett. 59A, 6–8 (1976); G. Roosen, "A theoretical experimental study of the stable equilibrium position of spheres levitated by two horizontal laser beams," Opt. Commun. 21, 189–194 (1977).
  11. G. Roosen and S. Slansky, "Influence of the beam divergence on the forces on a sphere by a laser beam and required condition for stable optical levitation," Opt. Commun. 29, 341–346 (1979).
  12. A. Ashkin, "Applications of laser radiation pressure," Science 210, 1081–1088 (1980); G. Roosen, "La lévitation optique de sphères," Can. J. Phys. 57, 1260–1279 (1979).
  13. G. Mie, "Beitrage zur optik trüber Medien, speziell kolloidaller Metalösungen," Ann. Phys. 25, 377–445 (1908); P. Debye, "Die Lichtdruck auf Kugeln von beliebigem Material," Ann. Phys. 30, 57–136 (1909).
  14. H. Kogelnik and T. Li, "Laser beams and resonators," Proc. IEEE 54, 1312–1329 (1966).
  15. L. W. Casperson and C. Yeh, "Rayleigh–Debye scattering with focused laser beams," Appl. Opt. 17, 1637–1643 (1978); S. Colak, C. Yeh, and L. W. Casperson, "Scattering of focused beams by tenuous particles," Appl. Opt. 18, 294–302 (1979).
  16. H. Chew, M. Kerker, and D. D. Cooke, "Electromagnetic scattering by a dielectric sphere in a diverging radiation field," Phys. Rev. A 16, 320–323 (1977); "Light scattering in converging beams," Opt. Lett. 1, 138–140 (1977).
  17. N. Morita, T. Tanaka, T. Yamasaki, and Y. Nakashini, "Scattering of beam wave by a spherical object," IEEE Trans. Antennas Propag. AP-16, 724–727 (1968).
  18. W. C. Tsai and R. J. Pogorzelski, "Eigenfunction solution of the scattering of beam radiation fields by spherical object," J. Opt. Soc. Am. 65, 1457–1463 (1975); W. G. Tam and R. Corriveau, "Scattering of electromagnetic beams by spherical objects," J. Opt. Soc. Am. 68, 763–767 (1978).
  19. R. J. Pogorzelski and E. Lun, "On the expansion of cylindrical vector waves in terms of spherical vector waves," Radio Sci. 11, 753–761 (1976).
  20. M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial optics," Phys. Rev. A 11, 1365–1367 (1975).
  21. G. A. Deschamps, "Gaussian beam as a bundle of complex rays," Electron. Lett. 7, 684–685 (1971).
  22. L. W. Davis, "Theory of electromagnetic beams," Phys. Rev. A 19, 1177–1179 (1979).
  23. J. S. Kim and S. S. Lee, "Radiation pressure on a dielectric sphere in focused laser beam," presented at ICO-12, Graz, Austria, 1981.
  24. M. Couture and P. A. Belanger, "From Gaussian beam to complex- source-point wave," Phys. Rev. A 24, 355–359 (1981).
  25. W. W. Hansen, "A new type of expansion in radiation problems," Phys. Rev. 47, 139–143 (1935). To simplify the formulation, the VSWF's in Eq. (6) are defined somewhat differently from those in the reference.
  26. O. N. Watson, Theory of Bessel Function (Cambridge U. Press, London, 1941), p. 366.
  27. P. Chylek, "Partial-wave resonances and the ripple structure in the Mie normalized extinction cross section," J. Opt. Soc. Am. 66, 285–287 (1976); P. Chylek, J. T. Kiehl, and M. K. W. Ko, "Narrow resonance structure in the Mie scattering characteristics," Appl. Opt. 17, 3019–3021 (1978); "Optical levitation and partial-wave resonances," Phys. Rev. A 18, 2229–2233 (1978).
  28. J. E. Bjorkholm, R. R. Freeman, A. Ashkin, and D. B. Pearson, "Observation of focusing of neutral atoms by the dipole forces of resonance-radiation pressure," Phys. Rev. Lett. 41, 1361–1364 (1978); "Focusing and defocusing of neutral atomic beams using resonance-radiation pressure," Appl. Phys. Lett. 36, 99–101 (1980).
  29. G. Roasen, B. F. de Saint Louvent, and S. Slansky, "Étude de la pression de radiation exercée sur une sphere creuse transparente par un faisceau cylindrique," Opt. Comm. 24, 116–120 (1978); G. Roosen and C. Imbert," The TEM01* mode laser beam—a powerful tool for optical levitation of various types of spheres," Opt. Commun. 26, 432–436 (1978).
  30. S. Y. Shin and L. B. Felsen, "Gaussian beam modes by multipoles with complex source points," J. Opt. Soc. Am. 67, 699–700 (1977).
  31. A. L. Aden and M. Kerker, "Scattering of electromagnetic waves from two concentric spheres," J. Appl. Phys. 22, 1242–1246 (1951).
  32. G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1970), p. 560.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited