Abstract

The density of morphology-dependent resonances (MDR’s) of microspheres is shown to be larger than the density that is observed in typical resonance spectra and is large enough to be consistent with observations [ S.-X. Qian and R. K. Chang, Phys. Rev. Lett. 56, 926 ( 1986)] of multiorder Stokes emission in the stimulated Raman scattering from CCl4 microspheres. Many of the MDR’s have computed linewidths far too narrow to be observed in elastic scattering spectra. Evidence that these very-narrow-linewidth MDR’s may provide significant optical feedback for stimulated processes in microspheres is discussed. The integrated area under resonances in the internal field coefficients does not decrease as the linewidth decreases.

© 1986 Optical Society of America

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References

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  1. 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 (1984).
    [CrossRef] [PubMed]
  2. J. B. Snow, S.-X. Qian, R. K. Chang, “Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances,” Opt. Lett. 10, 37 (1985).
    [CrossRef] [PubMed]
  3. S.-X. Qian, J. B. Snow, R. K. Chang, “Coherent Raman mixing and coherent anti-Stokes Raman scattering from individual micrometer-size droplets,” Opt. Lett. 10, 499 (1985).
    [CrossRef] [PubMed]
  4. R. Fuchs, K. L. Kliewar, “Optical modes of vibration in an ionic crystal sphere,” J. Opt. Soc. Am. 58, (1968).
    [CrossRef]
  5. P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical levitation and partial wave resonances,” Phys. Rev. A. 18, 2229 (1978).
    [CrossRef]
  6. G. J. Rosasco, H. S. Bennett, “Internal field resonance structure: implications for optical absorbtion and scattering by microscopic particles,” J. Opt. Soc. Am. 68, 1242 (1978).
    [CrossRef]
  7. S.-X. Qian, R. K. Chang, “Multi-order Stokes emission from micrometer-sized droplets,” Phys. Rev. Lett. 56, 926 (1986).
    [CrossRef] [PubMed]
  8. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 554–557.
  9. S. C. Hill, R. E. Benner, C. K. Rushforth, P. R. Conwell, “Sizing dielectric spheres and cylinders by aligning measured and computed structural resonance locations,” Appl. Opt. 24, 2380 (1985).
    [CrossRef] [PubMed]
  10. H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, N.J., 1984), p. 201.
  11. A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975).
  12. R. Thurn, W. Kiefer, “Structural resonances observed in the Raman spectra of optically levitated liquid droplets,” Appl. Opt. 24, 1515 (1985).
    [CrossRef] [PubMed]
  13. J. R. Probert-Jones, “Resonance component of backscattering by large dielectric spheres,” J. Opt. Soc. Am. A 1, 822 (1984).
    [CrossRef]
  14. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), pp. 68–69.
  15. P. R. Conwell, P. R. Barber, C. K. Rushforth, “Resonant spectra of dielectric spheres,” J. Opt. Soc. Am. A 1, 62 (1984).
    [CrossRef]
  16. H. Chew, P. J. McNulty, M. Kerker, “Model for Raman and fluorescent scattering by molecules embedded in small particles,” Phys. Rev. A 13, 396 (1976).
    [CrossRef]
  17. P. Chylek, J. D. Pendleton, R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonance conditions,” Appl. Opt. 24, 3941 (1985). Note that the resolution of Fig. 1 is not sufficient to show the angular distributions accurately. At a higher resolution, the figure would exhibit regularly spaced peaks similar to those in Ref. 18 but would also have a decrease in the heights of the peaks away from the forward and backward directions.
    [CrossRef]
  18. J. F. Owen, P. W. Barber, B. J. Messinger, R. K. Chang, “Internal electric field distributions of a dielectric cylinder at resonance wavelengths,” Opt. Lett. 6, 540 (1981).
    [CrossRef] [PubMed]
  19. P. W. Barber, Department of Electrical and Computer Engineering, Clarkson University, Potsdam, New York 13676 (personal communication).
  20. L. M. Folan, S. Arnold, S. D. Druger, “Enhanced energy transfer within a microparticle,” Chem. Phys. Lett. 118, 322 (1985); Steven Arnold, Department of Physics, Polytechnic Institute of New York, Brooklyn, New York 11201 (personal communication).
    [CrossRef]
  21. S.-X. Qian, J. B. Snow, H.-M. Tzeng, R. K. Chang, “Lasing droplets: highlighting the liquid–air interface by laser emission,” Science 231, 486 (1986). At higher intensities, the lasing is less confined to the liquid–air interface, and more modes are excited.
    [CrossRef] [PubMed]
  22. J. B. Snow, S.-X. Qian, R. K. Chang, “Nonlinear optics with a micrometer-size droplet,” Opt. News 12 (5), (1986). See also the cover of the May 1986 issue of Optics News.
    [CrossRef]
  23. Jian-Zhi Zhang first brought this to my attention.
  24. That the sum of squares of the internal field coefficients, computed as a function of size parameter, correlates well with inelastic scattering spectra of microspheres has been shown by Thurn and Kiefer12 for Raman scattering and by Ramesh Bhandari [Department of Physics, Clarkson University, Potsdam, New York 13676 (personal communication)] for fluorescence emission. The reason for the good correlation can best be seen in Eqs. (15) and (16) of the paper by Chew et al.,16 where the far-field coefficients are directly proportional to the internal field coefficients. The notation for the coefficients is that of H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981), pp. 123–124.
  25. J. F. Owen, R. K. Chang, P. W. Barber, “Determination of optical fiber diameter from resonances in the elastic scattering spectrum,” Opt. Lett. 6, 262 (1981).
    [CrossRef]

1986 (3)

S.-X. Qian, R. K. Chang, “Multi-order Stokes emission from micrometer-sized droplets,” Phys. Rev. Lett. 56, 926 (1986).
[CrossRef] [PubMed]

S.-X. Qian, J. B. Snow, H.-M. Tzeng, R. K. Chang, “Lasing droplets: highlighting the liquid–air interface by laser emission,” Science 231, 486 (1986). At higher intensities, the lasing is less confined to the liquid–air interface, and more modes are excited.
[CrossRef] [PubMed]

J. B. Snow, S.-X. Qian, R. K. Chang, “Nonlinear optics with a micrometer-size droplet,” Opt. News 12 (5), (1986). See also the cover of the May 1986 issue of Optics News.
[CrossRef]

1985 (6)

L. M. Folan, S. Arnold, S. D. Druger, “Enhanced energy transfer within a microparticle,” Chem. Phys. Lett. 118, 322 (1985); Steven Arnold, Department of Physics, Polytechnic Institute of New York, Brooklyn, New York 11201 (personal communication).
[CrossRef]

P. Chylek, J. D. Pendleton, R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonance conditions,” Appl. Opt. 24, 3941 (1985). Note that the resolution of Fig. 1 is not sufficient to show the angular distributions accurately. At a higher resolution, the figure would exhibit regularly spaced peaks similar to those in Ref. 18 but would also have a decrease in the heights of the peaks away from the forward and backward directions.
[CrossRef]

J. B. Snow, S.-X. Qian, R. K. Chang, “Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances,” Opt. Lett. 10, 37 (1985).
[CrossRef] [PubMed]

S.-X. Qian, J. B. Snow, R. K. Chang, “Coherent Raman mixing and coherent anti-Stokes Raman scattering from individual micrometer-size droplets,” Opt. Lett. 10, 499 (1985).
[CrossRef] [PubMed]

R. Thurn, W. Kiefer, “Structural resonances observed in the Raman spectra of optically levitated liquid droplets,” Appl. Opt. 24, 1515 (1985).
[CrossRef] [PubMed]

S. C. Hill, R. E. Benner, C. K. Rushforth, P. R. Conwell, “Sizing dielectric spheres and cylinders by aligning measured and computed structural resonance locations,” Appl. Opt. 24, 2380 (1985).
[CrossRef] [PubMed]

1984 (3)

1981 (2)

J. F. Owen, P. W. Barber, B. J. Messinger, R. K. Chang, “Internal electric field distributions of a dielectric cylinder at resonance wavelengths,” Opt. Lett. 6, 540 (1981).
[CrossRef] [PubMed]

J. F. Owen, R. K. Chang, P. W. Barber, “Determination of optical fiber diameter from resonances in the elastic scattering spectrum,” Opt. Lett. 6, 262 (1981).
[CrossRef]

1978 (2)

1976 (1)

H. Chew, P. J. McNulty, M. Kerker, “Model for Raman and fluorescent scattering by molecules embedded in small particles,” Phys. Rev. A 13, 396 (1976).
[CrossRef]

1968 (1)

R. Fuchs, K. L. Kliewar, “Optical modes of vibration in an ionic crystal sphere,” J. Opt. Soc. Am. 58, (1968).
[CrossRef]

Arnold, S.

L. M. Folan, S. Arnold, S. D. Druger, “Enhanced energy transfer within a microparticle,” Chem. Phys. Lett. 118, 322 (1985); Steven Arnold, Department of Physics, Polytechnic Institute of New York, Brooklyn, New York 11201 (personal communication).
[CrossRef]

Barber, P. R.

Barber, P. W.

J. F. Owen, P. W. Barber, B. J. Messinger, R. K. Chang, “Internal electric field distributions of a dielectric cylinder at resonance wavelengths,” Opt. Lett. 6, 540 (1981).
[CrossRef] [PubMed]

J. F. Owen, R. K. Chang, P. W. Barber, “Determination of optical fiber diameter from resonances in the elastic scattering spectrum,” Opt. Lett. 6, 262 (1981).
[CrossRef]

P. W. Barber, Department of Electrical and Computer Engineering, Clarkson University, Potsdam, New York 13676 (personal communication).

Benner, R. E.

Bennett, H. S.

Bhandari, Ramesh

That the sum of squares of the internal field coefficients, computed as a function of size parameter, correlates well with inelastic scattering spectra of microspheres has been shown by Thurn and Kiefer12 for Raman scattering and by Ramesh Bhandari [Department of Physics, Clarkson University, Potsdam, New York 13676 (personal communication)] for fluorescence emission. The reason for the good correlation can best be seen in Eqs. (15) and (16) of the paper by Chew et al.,16 where the far-field coefficients are directly proportional to the internal field coefficients. The notation for the coefficients is that of H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981), pp. 123–124.

Chang, R. K.

J. B. Snow, S.-X. Qian, R. K. Chang, “Nonlinear optics with a micrometer-size droplet,” Opt. News 12 (5), (1986). See also the cover of the May 1986 issue of Optics News.
[CrossRef]

S.-X. Qian, J. B. Snow, H.-M. Tzeng, R. K. Chang, “Lasing droplets: highlighting the liquid–air interface by laser emission,” Science 231, 486 (1986). At higher intensities, the lasing is less confined to the liquid–air interface, and more modes are excited.
[CrossRef] [PubMed]

S.-X. Qian, R. K. Chang, “Multi-order Stokes emission from micrometer-sized droplets,” Phys. Rev. Lett. 56, 926 (1986).
[CrossRef] [PubMed]

S.-X. Qian, J. B. Snow, R. K. Chang, “Coherent Raman mixing and coherent anti-Stokes Raman scattering from individual micrometer-size droplets,” Opt. Lett. 10, 499 (1985).
[CrossRef] [PubMed]

J. B. Snow, S.-X. Qian, R. K. Chang, “Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances,” Opt. Lett. 10, 37 (1985).
[CrossRef] [PubMed]

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 (1984).
[CrossRef] [PubMed]

J. F. Owen, P. W. Barber, B. J. Messinger, R. K. Chang, “Internal electric field distributions of a dielectric cylinder at resonance wavelengths,” Opt. Lett. 6, 540 (1981).
[CrossRef] [PubMed]

J. F. Owen, R. K. Chang, P. W. Barber, “Determination of optical fiber diameter from resonances in the elastic scattering spectrum,” Opt. Lett. 6, 262 (1981).
[CrossRef]

Chew, H.

H. Chew, P. J. McNulty, M. Kerker, “Model for Raman and fluorescent scattering by molecules embedded in small particles,” Phys. Rev. A 13, 396 (1976).
[CrossRef]

Chylek, P.

P. Chylek, J. D. Pendleton, R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonance conditions,” Appl. Opt. 24, 3941 (1985). Note that the resolution of Fig. 1 is not sufficient to show the angular distributions accurately. At a higher resolution, the figure would exhibit regularly spaced peaks similar to those in Ref. 18 but would also have a decrease in the heights of the peaks away from the forward and backward directions.
[CrossRef]

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical levitation and partial wave resonances,” Phys. Rev. A. 18, 2229 (1978).
[CrossRef]

Conwell, P. R.

Druger, S. D.

L. M. Folan, S. Arnold, S. D. Druger, “Enhanced energy transfer within a microparticle,” Chem. Phys. Lett. 118, 322 (1985); Steven Arnold, Department of Physics, Polytechnic Institute of New York, Brooklyn, New York 11201 (personal communication).
[CrossRef]

Folan, L. M.

L. M. Folan, S. Arnold, S. D. Druger, “Enhanced energy transfer within a microparticle,” Chem. Phys. Lett. 118, 322 (1985); Steven Arnold, Department of Physics, Polytechnic Institute of New York, Brooklyn, New York 11201 (personal communication).
[CrossRef]

Fuchs, R.

R. Fuchs, K. L. Kliewar, “Optical modes of vibration in an ionic crystal sphere,” J. Opt. Soc. Am. 58, (1968).
[CrossRef]

Haus, H. A.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, N.J., 1984), p. 201.

Hill, S. C.

Kerker, M.

H. Chew, P. J. McNulty, M. Kerker, “Model for Raman and fluorescent scattering by molecules embedded in small particles,” Phys. Rev. A 13, 396 (1976).
[CrossRef]

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), pp. 68–69.

Kiefer, W.

Kiehl, J. T.

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical levitation and partial wave resonances,” Phys. Rev. A. 18, 2229 (1978).
[CrossRef]

Kliewar, K. L.

R. Fuchs, K. L. Kliewar, “Optical modes of vibration in an ionic crystal sphere,” J. Opt. Soc. Am. 58, (1968).
[CrossRef]

Ko, M. K. W.

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical levitation and partial wave resonances,” Phys. Rev. A. 18, 2229 (1978).
[CrossRef]

Long, M. B.

McNulty, P. J.

H. Chew, P. J. McNulty, M. Kerker, “Model for Raman and fluorescent scattering by molecules embedded in small particles,” Phys. Rev. A 13, 396 (1976).
[CrossRef]

Messinger, B. J.

Owen, J. F.

J. F. Owen, P. W. Barber, B. J. Messinger, R. K. Chang, “Internal electric field distributions of a dielectric cylinder at resonance wavelengths,” Opt. Lett. 6, 540 (1981).
[CrossRef] [PubMed]

J. F. Owen, R. K. Chang, P. W. Barber, “Determination of optical fiber diameter from resonances in the elastic scattering spectrum,” Opt. Lett. 6, 262 (1981).
[CrossRef]

Pendleton, J. D.

P. Chylek, J. D. Pendleton, R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonance conditions,” Appl. Opt. 24, 3941 (1985). Note that the resolution of Fig. 1 is not sufficient to show the angular distributions accurately. At a higher resolution, the figure would exhibit regularly spaced peaks similar to those in Ref. 18 but would also have a decrease in the heights of the peaks away from the forward and backward directions.
[CrossRef]

Pinnick, R. G.

P. Chylek, J. D. Pendleton, R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonance conditions,” Appl. Opt. 24, 3941 (1985). Note that the resolution of Fig. 1 is not sufficient to show the angular distributions accurately. At a higher resolution, the figure would exhibit regularly spaced peaks similar to those in Ref. 18 but would also have a decrease in the heights of the peaks away from the forward and backward directions.
[CrossRef]

Probert-Jones, J. R.

Qian, S.-X.

S.-X. Qian, R. K. Chang, “Multi-order Stokes emission from micrometer-sized droplets,” Phys. Rev. Lett. 56, 926 (1986).
[CrossRef] [PubMed]

S.-X. Qian, J. B. Snow, H.-M. Tzeng, R. K. Chang, “Lasing droplets: highlighting the liquid–air interface by laser emission,” Science 231, 486 (1986). At higher intensities, the lasing is less confined to the liquid–air interface, and more modes are excited.
[CrossRef] [PubMed]

J. B. Snow, S.-X. Qian, R. K. Chang, “Nonlinear optics with a micrometer-size droplet,” Opt. News 12 (5), (1986). See also the cover of the May 1986 issue of Optics News.
[CrossRef]

J. B. Snow, S.-X. Qian, R. K. Chang, “Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances,” Opt. Lett. 10, 37 (1985).
[CrossRef] [PubMed]

S.-X. Qian, J. B. Snow, R. K. Chang, “Coherent Raman mixing and coherent anti-Stokes Raman scattering from individual micrometer-size droplets,” Opt. Lett. 10, 499 (1985).
[CrossRef] [PubMed]

Rosasco, G. J.

Rushforth, C. K.

Snow, J. B.

J. B. Snow, S.-X. Qian, R. K. Chang, “Nonlinear optics with a micrometer-size droplet,” Opt. News 12 (5), (1986). See also the cover of the May 1986 issue of Optics News.
[CrossRef]

S.-X. Qian, J. B. Snow, H.-M. Tzeng, R. K. Chang, “Lasing droplets: highlighting the liquid–air interface by laser emission,” Science 231, 486 (1986). At higher intensities, the lasing is less confined to the liquid–air interface, and more modes are excited.
[CrossRef] [PubMed]

S.-X. Qian, J. B. Snow, R. K. Chang, “Coherent Raman mixing and coherent anti-Stokes Raman scattering from individual micrometer-size droplets,” Opt. Lett. 10, 499 (1985).
[CrossRef] [PubMed]

J. B. Snow, S.-X. Qian, R. K. Chang, “Stimulated Raman scattering from individual water and ethanol droplets at morphology-dependent resonances,” Opt. Lett. 10, 37 (1985).
[CrossRef] [PubMed]

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 554–557.

Thurn, R.

Tzeng, H.-M.

S.-X. Qian, J. B. Snow, H.-M. Tzeng, R. K. Chang, “Lasing droplets: highlighting the liquid–air interface by laser emission,” Science 231, 486 (1986). At higher intensities, the lasing is less confined to the liquid–air interface, and more modes are excited.
[CrossRef] [PubMed]

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 (1984).
[CrossRef] [PubMed]

Wall, K. F.

Yariv, A.

A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975).

Appl. Opt. (3)

P. Chylek, J. D. Pendleton, R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonance conditions,” Appl. Opt. 24, 3941 (1985). Note that the resolution of Fig. 1 is not sufficient to show the angular distributions accurately. At a higher resolution, the figure would exhibit regularly spaced peaks similar to those in Ref. 18 but would also have a decrease in the heights of the peaks away from the forward and backward directions.
[CrossRef]

R. Thurn, W. Kiefer, “Structural resonances observed in the Raman spectra of optically levitated liquid droplets,” Appl. Opt. 24, 1515 (1985).
[CrossRef] [PubMed]

S. C. Hill, R. E. Benner, C. K. Rushforth, P. R. Conwell, “Sizing dielectric spheres and cylinders by aligning measured and computed structural resonance locations,” Appl. Opt. 24, 2380 (1985).
[CrossRef] [PubMed]

Chem. Phys. Lett. (1)

L. M. Folan, S. Arnold, S. D. Druger, “Enhanced energy transfer within a microparticle,” Chem. Phys. Lett. 118, 322 (1985); Steven Arnold, Department of Physics, Polytechnic Institute of New York, Brooklyn, New York 11201 (personal communication).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (2)

Opt. Lett. (5)

Opt. News (1)

J. B. Snow, S.-X. Qian, R. K. Chang, “Nonlinear optics with a micrometer-size droplet,” Opt. News 12 (5), (1986). See also the cover of the May 1986 issue of Optics News.
[CrossRef]

Phys. Rev. A (1)

H. Chew, P. J. McNulty, M. Kerker, “Model for Raman and fluorescent scattering by molecules embedded in small particles,” Phys. Rev. A 13, 396 (1976).
[CrossRef]

Phys. Rev. A. (1)

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical levitation and partial wave resonances,” Phys. Rev. A. 18, 2229 (1978).
[CrossRef]

Phys. Rev. Lett. (1)

S.-X. Qian, R. K. Chang, “Multi-order Stokes emission from micrometer-sized droplets,” Phys. Rev. Lett. 56, 926 (1986).
[CrossRef] [PubMed]

Science (1)

S.-X. Qian, J. B. Snow, H.-M. Tzeng, R. K. Chang, “Lasing droplets: highlighting the liquid–air interface by laser emission,” Science 231, 486 (1986). At higher intensities, the lasing is less confined to the liquid–air interface, and more modes are excited.
[CrossRef] [PubMed]

Other (7)

P. W. Barber, Department of Electrical and Computer Engineering, Clarkson University, Potsdam, New York 13676 (personal communication).

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 554–557.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, N.J., 1984), p. 201.

A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975).

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), pp. 68–69.

Jian-Zhi Zhang first brought this to my attention.

That the sum of squares of the internal field coefficients, computed as a function of size parameter, correlates well with inelastic scattering spectra of microspheres has been shown by Thurn and Kiefer12 for Raman scattering and by Ramesh Bhandari [Department of Physics, Clarkson University, Potsdam, New York 13676 (personal communication)] for fluorescence emission. The reason for the good correlation can best be seen in Eqs. (15) and (16) of the paper by Chew et al.,16 where the far-field coefficients are directly proportional to the internal field coefficients. The notation for the coefficients is that of H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981), pp. 123–124.

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Figures (4)

Fig. 1
Fig. 1

Density of MDR’s having computed peak widths in the ranges specified versus the size parameter and versus the wavelength corresponding to a 35-μm-radius sphere. The refractive index is mr = 1.459; mi = 0.

Fig. 2
Fig. 2

The angle-averaged internal field distribution (arbitrary units) for the transverse electric TE 301, 24 MDR of a CCl4 sphere of size parameter 300.330959. The mode number is 301. The order number is 24. The peak width is 0.1 size parameter.

Fig. 3
Fig. 3

The normalized radial distance, rp/a, at which the maximum of the angle-averaged field intensity occurs and the log10 of the external Q of the MDR. Both are plotted versus order. The MDR’s are transverse electric and have size parameters between 365.745 and 366.5.

Fig. 4
Fig. 4

The normalized radial distance, rp/a, at which the maximum of the angle-averaged field intensity occurs versus the order of the MDR. The MDR’s are transverse electric and have Δx1/2 between 0.008 and 0.01.

Tables (1)

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Table 1 Products of the Linewidths and the Squares of the Internal Field Coefficients

Equations (1)

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1 / Q = 1 / Q ext + 1 / Q 0 ,

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