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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 7 — Jul. 1, 1998
  • pp: 1858–1866

Splitting of low-Q Mie resonances

Lawrence A. Ferrari and Joseph B. Comunale  »View Author Affiliations


JOSA A, Vol. 15, Issue 7, pp. 1858-1866 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001858


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Abstract

Splitting of low-Q Mie resonances in high-density alumina spheres with dielectric constant ε≈9.6 is observed. The spheres have a shape distortion parameter value that ranges over 2 orders of magnitude, i.e., from 8×10<sup>−5</sup> to 10×10<sup>−3</sup>. Splitting is observed at the (magnetic or TE) b<sub>4, 1</sub> (Q≈425), b<sub>5, 1</sub> (Q≈1700), and b<sub>6, 1</sub> (Q≈ 5650) resonances. No splitting of the b<sub>3, 1</sub> or (electric or TM) a<sub>4, 1</sub> and a<sub>5, 1</sub> resonances is observed. The b<sub>5, 1</sub> resonance is studied extensively. The expected broadening or reduced Q of the resonances that is due to overlapping of the lines split by shape distortion is generally not observed. It is also found that it is easier to observe splitting in the spheres with the smallest shape distortion. This suggests that the mechanism responsible for the observed splitting competes with the shape splitting in such a way that destructive interference results.

© 1998 Optical Society of America

OCIS Codes
(290.3700) Scattering : Linewidth
(290.5820) Scattering : Scattering measurements
(290.5850) Scattering : Scattering, particles

Citation
Lawrence A. Ferrari and Joseph B. Comunale, "Splitting of low-Q Mie resonances," J. Opt. Soc. Am. A 15, 1858-1866 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-7-1858


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References

  1. G. Mie, “Beitrage zur Optik truber Medien, speziell kolloidaler Metallosungen,” Ann. Phys. (Leipzig) 25, 377–445 (1908).
  2. P. Debye, “Der lichtdruck auf kugeln von beliebigem material,” Ann. Phys. (Leipzig) 30, 57–136 (1909).
  3. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  4. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  5. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), Chap. 9, Sec. 25, p. 563.
  6. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), Chap. 16, Sec. 9, p. 769.
  7. J. Qwen, R. K. Chang, and P. W. Barber, “Morphology dependent resonances in Raman scattering, fluorescence emission, and elastic scattering from microparticles,” Aerosol. Sci. Technol. 1, 293–302 (1982).
  8. R. E. Benner, P. W. Barber, J. F. Owen, and R. K. Chang, “Observation of structure resonances in the fluorescence spectra from microspheres,” Phys. Rev. Lett. 44, 475–478 (1980).
  9. J. B. Snow, S. Qian, and R. K. Chang, “Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances,” Opt. Lett. 10, 37–39 (1985).
  10. H. M. Tzeng, K. F. Wall, M. B. Long, and R. K. Chang, “Laser emission from individual droplets at wavelengths corresponding to morphology-dependent resonances,” Opt. Lett. 9, 499–501 (1984).
  11. J. Z. Zhang and R. W. Chang, “Generation and suppression of stimulated Brillouin scattering in single liquid droplets,” J. Opt. Soc. Am. B 6, 151–153 (1989).
  12. A. Ashkin and J. M. Dziedzic, “Observation of resonances in the radiation pressure on dielectric spheres,” Phys. Rev. Lett. 38, 1351 (1977).
  13. P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Narrow resonance structure in the Mie scattering characteristics,” Appl. Opt. 17, 3019–3021 (1978).
  14. D. W. Schuerman, R. T. Wang, B. A. Gustafson, and R. W. Schaefer, “Systematic studies of light scattering. 1: Particle shape,” Appl. Opt. 20, 4039–4050 (1981).
  15. P. R. Conwell, P. W. Barber, and C. K. Rushforth, “Resonant spectra of dielectric spheres,” J. Opt. Soc. Am. A 1, 62–67 (1984).
  16. B. A. Hunter, M. A. Box, and B. Maier, “Resonance structure in weakly absorbing spheres,” J. Opt. Soc. Am. A 5, 1281–1286 (1988).
  17. P. Chylek, “Resonance structure of Mie scattering: distance between resonances,” J. Opt. Soc. Am. A 7, 1609–1613 (1990).
  18. M. Essien, J. B. Gillespie, and R. L. Armstrong, “Observation of suppression of morphology-dependent resonances in singly levitated micrometer-sized droplets,” Appl. Opt. 31, 2148–2153 (1992).
  19. P. Chýlek, D. Ngo, and R. G. Pinnick, “Resonance structure of composite and slightly absorbing spheres,” J. Opt. Soc. Am. A 9, 775–780 (1992).
  20. M. M. Mazumder, S. C. Hill, and P. W. Barber, “Morphology-dependent resonances in inhomogeneous spheres: comparison of the layered T-matrix method and the time-independent perturbation method,” J. Opt. Soc. Am. A 9, 1844–1853 (1992).
  21. D. Ngo and R. G. Pinnick, “Suppression of scattering resonances in inhomogeneous microdroplets,” J. Opt. Soc. Am. A 11, 1352–1359 (1994).
  22. T. Kaiser, S. Lange, and G. Schweiger, “Structural resonances in a coated sphere: investigation of the volume-averaged source function and resonance positions,” Appl. Opt. 33, 7789–7797 (1994).
  23. S. C. Hill, H. I. Saleheen, and K. A. Fuller, “Volume current method for modeling light scattering by inhomogeneously perturbed spheres,” J. Opt. Soc. Am. A 12, 905–915 (1995).
  24. G. Videen, J. Li, and P. Chylek, “Resonances and poles of weakly absorbing spheres,” J. Opt. Soc. Am. A 12, 916–921 (1995).
  25. G. Videen, D. Ngo, P. Chylek, and R. G. Pinnick, “Light scattering from a sphere with an irregular inclusion,” J. Opt. Soc. Am. A 12, 922–928 (1995).
  26. H. M. Lai, P. T. Leung, K. Young, P. W. Barber, and S. C. Hill, “Time-independent perturbation for leaking electromagnetic modes in open systems with application to resonances in microdroplets,” Phys. Rev. A 41, 5187–5198 (1990).
  27. H. M. Lai, C. C. Lam, P. T. Leung, and K. Young, “Effect of perturbations on the widths of narrow morphology-dependent resonances in Mie scattering,” J. Opt. Soc. Am. B 8, 1962–1973 (1991).
  28. G. Chen and R. K. Chang, “Frequency splitting of degenerate spherical cavity modes: stimulated Raman scattering spectrum of deformed droplets,” Opt. Lett. 16, 1269–1271 (1991).
  29. D. S. Weiss, V. Sandoghdar, J. Hare, V. LeFevre-Sequin, J. M. Raimond, and S. Haroche, “Splitting of high-Q Mie modes induced by light backscattering in silica microspheres,” Opt. Lett. 20, 1835–1837 (1995).
  30. K. Young, Department of Physics, The Chinese University of Hong Kong, Hong Kong (personal communication, 1997).
  31. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), Chap. 8, Sec. 8.8, p. 357.

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