OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 9, Iss. 8 — Aug. 1, 1992
  • pp: 1364–1373

Time dependence of internal intensity of a dielectric sphere on and near resonance

Dipakbin Q. Chowdhury, Steven C. Hill, and Peter W. Barber  »View Author Affiliations

JOSA A, Vol. 9, Issue 8, pp. 1364-1373 (1992)

View Full Text Article

Enhanced HTML    Acrobat PDF (1112 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Transient intensities inside a large dielectric sphere (circumference/incident wavelength > 50) are computed for excitation with plane-wave pulses having a Gaussian time dependence. The center frequency of the pulse is either on or near a morphology-dependent resonance (MDR). For each internal point considered, the time dependence of the electric field is determined from the frequency spectrum of the field at that point. The frequency spectrum is the product of the incident field spectrum and the transfer function at that point. In a sphere both the internal spectrum and the associated time dependence vary with spatial location, particularly when the incident frequency is near a MDR. The time dependence of the intensity at an internal location near the surface shows an exponential tail with a time constant of 1/Δωr, where Δωr is the resonant linewidth of the MDR, so long as the incident spectrum overlaps the MDR significantly, i.e., when Δω ≤ Δω0 and Δω0 ≥ Δωr, where Δω0 is the width of the incident pulse spectrum and Δω is the detuning, the difference between the MDR frequency and the center frequency of the incident Gaussian pulse.

© 1992 Optical Society of America

Original Manuscript: October 24, 1991
Manuscript Accepted: February 13, 1992
Published: August 1, 1992

Dipakbin Q. Chowdhury, Steven C. Hill, and Peter W. Barber, "Time dependence of internal intensity of a dielectric sphere on and near resonance," J. Opt. Soc. Am. A 9, 1364-1373 (1992)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. R. Snow, S.-X. Qian, R. K. Chang, “Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances,” Opt. Lett. 10, 37–39 (1985). [CrossRef] [PubMed]
  2. S.-X. Qian, J. B. Snow, R. K. Chang, “Coherent Raman mixing and coherent anti-Stokes Raman scattering from micrometer-size droplets,” Opt. Lett. 10, 499–501 (1985). [CrossRef] [PubMed]
  3. A. Biswas, H. Latifi, R. L. Armstrong, R. G. Pinnick, “Double-resonance stimulated Raman scattering from optically levitated glycerol droplets,” Phys. Rev. A 40, 7413–7416 (1989). [CrossRef] [PubMed]
  4. W. P. Acker, D. H. Leach, R. K. Chang, “Third-order optical sum-frequency generation in micrometer-sized liquid droplets,” Opt. Lett. 14, 402–404 (1989). [CrossRef] [PubMed]
  5. H. M. Tzeng, K. F. Wall, M. B. Long, R. K. Chang, “Laser emission from individual droplets at wavelengths corresponding to morphology-dependent resonances,” Opt. Lett. 9, 499–501 (1984). [CrossRef] [PubMed]
  6. A. J. Campillo, J. D. Eversole, H.-B. Lin, “Cavity quantum electrodynamics enhancement of stimulated emission in microdroplets,” Phys. Rev. Lett. 67, 437–440 (1991). [CrossRef] [PubMed]
  7. S.-X. Qian, R. K. Chang, “Phase-modulation-broadened line shapes from micrometer-size CS2droplets,” Opt. Lett. 11, 371–373 (1986). [CrossRef] [PubMed]
  8. S. C. Ching, H. M. Lai, K. Young, “Dielectric microspheres as optical cavities: thermal spectrum and density of states,” J. Opt. Soc. Am. B 4, 1995–2003 (1987). [CrossRef]
  9. S. C. Ching, H. M. Lai, K. Young, “Dielectric microspheres as optical cavities: Einstein Aand Bcoefficients and level shifts,” J. Opt. Soc. Am. B 4, 2004–2009 (1987). [CrossRef]
  10. H. Chew, “Radiation lifetimes of atoms inside dielectric particles,” Phys. Rev. A 38, 3410–3416 (1988). [CrossRef] [PubMed]
  11. P. Chylek, J. D. Pendleton, R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonant conditions,” Appl. Opt. 24, 3940–3942 (1985). [CrossRef] [PubMed]
  12. D. S. Benincasa, P. W. Barber, J.-Z. Zhang, W-F. Hsieh, R. K. Chang, “Spatial distribution of the internal and near-field intensities of large cylindrical and spherical scatterers,” Appl. Opt. 26, 1348–1356 (1987). [CrossRef] [PubMed]
  13. J. P. Barton, D. R. Alexander, S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64, 1632–1639 (1988). [CrossRef]
  14. E. E. M. Khaled, S. C. Hill, P. W. Barber, D. Q. Chowdhury, “Near-resonance excitation of dielectric spheres with plane waves and off-axis Gaussian beams,” Appl. Opt. 31, 1166–1169 (1992). [CrossRef] [PubMed]
  15. T. Hosono, K. Ikeda, A. Itoh, “Analysis of transient response of electromagnetic waves scattered by a perfectly conducting sphere. The case of back- and forward-scattering,” Electron. Commun. Jpn. Part 1 71, 74–86 (1988). [CrossRef]
  16. W. E. Howell, H. Überall, “Selective observation of resonances via their ringing in transient radar scattering, as illustrated for conducting and coated spheres,” IEEE Trans. Antennas Propag. 38, 293–298 (1990). [CrossRef]
  17. J. Rheinstein, “Backscatter from spheres: a short pulse view,” IEEE Trans. Antennas Propag. 16, 89–97 (1968). [CrossRef]
  18. R. Mittra, “Integral equation methods for transient scattering,” in Transient Electromagnetic Fields, L. B. Felson, ed. (Springer-Verlag, New York, 1976). [CrossRef]
  19. H. Shirai, “Time transient analysis of waves scattering by simple shapes,” presented at the Analytic and Numerical Methods in Wave Theory Seminar, Adana, Turkey (1991); H. Shirai, A. Hamakoshi, “Transient response by a dielectric cylinder due to a line source at the center,” Trans. Inst. Electron. Inform. Commun. Eng. Jpn. E74, 157–166 (1991).
  20. K. Ikeda, “Multiple-valued stationary state and instability of the transmitted light by a ring cavity system,” Opt. Commun. 30, 257–261 (1979). [CrossRef]
  21. S. M. Hammel, C. K. R. T. Jones, J. V. Moloney, “Global dynamical behavior of the optical field in a ring cavity,” J. Opt. Soc. Am. B 2, 552–564 (1985). [CrossRef]
  22. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  23. P. W. Barber, S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990).
  24. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).
  25. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes (Cambridge U. Press, New York, 1989).
  26. V. Srivastava, M. A. Jarzembski, “Laser-induced stimulated Raman scattering in the forward direction of a droplet: comparison of Mie theory with geometrical optics,” Opt. Lett. 16, 126–128 (1991). [CrossRef] [PubMed]
  27. D. Q. Chowdhury, P. W. Barber, S. C. Hill, “Energy-density distribution inside large nonabsorbing spheres via Mie theory and geometrical optics,” Appl. Opt. 31, 3558–3563 (1992). [CrossRef]
  28. R. G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1966).
  29. S. Kinoshita, T. Kushida, “Quantum interference between resonant and nonresonant contributions in nearly resonant Raman scattering,” Phys. Rev. A 42, 2751–2755 (1990). [CrossRef] [PubMed]
  30. R. Lang, M. O. Scully, W. E. Lamb, “Why is the laser line so narrow? A theory of single-quasimode laser operation,” Phys. Rev. A 7, 1788–1797 (1972). [CrossRef]
  31. D. Q. Chowdhury, S. C. Hill, P. W. Barber, “Morphology-dependent resonances in radially inhomogeneous spheres,” J. Opt. Soc. Am. A 8, 1702–1705 (1991). [CrossRef]

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